Wheatstone Bridge & Metre Bridge

A metre bridge experiment, the resistance in the left gap is $20\ \Omega$ and in the right gap is $60\ \Omega$. The bridge is balanced. The distance of the null point from the centre of the wire is

In metre bridge experiment, the resistance in the left gap is 15 $\Omega$ and in the right gap is 45 $\Omega$. The bridge is balanced. The distance of the null point from the centre of the wire is

If the potential difference between points B and D is zero in the given circuit, the value of x is $\frac{1}{n}\ \Omega$. The value n is

Resistances are joint as shown in the figure. In the balanced condition, the current $I$ drawn from the battery is

A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances ($R_1 = R_2 = R_3 = R_4$). When $R_3$ resistance is heated to some temperature, its resistance value has gone up by 10%. The potential difference ($V_a - V_b$) (after $R_3$ is heated) is _________ V.

A balanced meter bridge is shown in the circuit diagram. The meter bridge wire has resistance $2\ \frac{\Omega}{cm}$. The current drawn from the battery is (Internal resistance of the battery is negligible)

Two wires $A$ and $B$ of equal lengths are connected in left and right gap of a metre bridge, null point is obtained at $40$ cm from left end. Diameters of the wires $A$ and $B$ are in the ratio $3 : 1$. The ratio of specific resistance of $A$ to that of $B$ is

With resistance $x$ in the left gap and resistance $9\ \Omega$ in right gap of a meter bridge, the balance point is obtained at $40$ cm from left end. In what way and to which resistance $3\ \Omega$ resistance be connected to obtain the balance point at $50$ cm from the left end?

In balanced meter bridge, the resistance of bridge wire is $0.1\ \Omega/$cm. Unknown resistance $X$ is connected in the left gap and $6\ \Omega$ in right gap. Null point divides the wire in the ratio $2 : 3$. The current drawn from the battery of $5$V having negligible resistance is

The resistances in two arms of the metre bridge are $5\ \Omega$ and $R\ \Omega$ respectively, null point is obtained at length $l_1$. When the resistance R is shunted with an equal resistance, the new balance point is at $1.6 l_1$. The resistance R is

The resistances in the two gaps of a balanced meter bridge are 'X' $\Omega$ and '3X' $\Omega$ respectively. If the resistances are interchanged the balance point shifts by

In a meter bridge experiment, the balance point is obtained at length '$l_1$ ' cm from left hand when resistances in the left gap and right gap are $15\ \Omega$ and $R\ \Omega$ respectively. When the resistance $R$ is shunted with equal resistance the new balance point is at $(1.6\, l_1)$. The resistance $R$ in ohm is

Two wires A and B of equal lengths are connected in left and right gap respectively of a metre bridge, null point is obtained at 40 cm from left end. Diameters of the wires A and B are in the ratio 3:1 respectively, the ratio of specific resistance of A to that of B is

In a metre bridge experiment (see figure), the positions of the cell, $E$, and galvanometer, $G$, are interchanged. We shall observe in the galvanometer:

Two resistors $2\ \Omega$ and $3\ \Omega$ are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire $XY$. When an unknown resistor is connected in parallel with $3\ \Omega$ resistor, the null point is shifted by 22.5 cm toward $Y$. The resistance of unknown resistor is $\underline{\qquad}\ \Omega$.

A meter bridge with two resistances $R_1$ and $R_2$ as shown in figure was balanced (null point) at 40 cm from the point $P$. The null point changed to 50 cm from the point $P$, when $16\ \Omega$ resistance is connected in parallel to $R_2$. The values of resistances $R_1$ and $R_2$ are ______.

In a meter bridge experiment to determine the value of unknown resistance, first the resistances $2\ \Omega$ and $3\ \Omega$ are connected in the left and right gaps of the bridge and the null point is obtained at a distance $l\text{ cm}$ from the left. Now when an unknown resistance $x\ \Omega$ is connected in parallel to $3\ \Omega$ resistance, the null point is shifted by 10 cm to the right of wire. The value of unknown resistance $x$ is

$\underline{\qquad}\ \Omega$.

In meter bridge experiment, two resistances X and Y in the two gaps give a null point dividing the wire in the ratio $2:3$. When each resistance is increased by $30\ \Omega$, the null point divides the wire in the ratio $5:6$. The resistance X and Y are respectively

In a metre bridge experiment the balance point is obtained if the gaps are closed by $2\ \Omega$ and $3\ \Omega$. A shunt of $X\ \Omega$ is added to $3\ \Omega$ resistor to shift the balancing point by $22.5$ cm. The value of $X$ is

The equivalent resistance of the following circuit when no current flows in the resistance of $5\ \Omega$ is nearly

In the given electrical network, the value of resistance ' $R$ ' when the current in the galvanometer will be zero, is

In the circuit shown in the figure, $P \neq R$. The reading of the galvanometer remains the same with switch ' $S$ ' open or closed. Then

The value of current I in the electrical circuit as given below, when potential at A is equal to the potential at B, will be _______ A.

In metre-bridge experiment the balance point is obtained if the gaps are closed by $2\ \Omega$ and $3\ \Omega$. A shunt of $x\ \Omega$ is added to $3\ \Omega$ resistor to shift the balance point by 22.5 cm. The value of x is

In a Wheatstone's bridge, the resistances in four arms are as shown in the figure. The balancing condition of the bridge is

Choose the correct circuit which can achieve the bridge balance.

Wheatstone bridge principle is used to measure the specific resistance $(S_1)$ of given wire, having length $L$, radius $r$. If $X$ is the resistance of wire, then specific resistance is; $S_1 = X\left(\frac{\pi r^2}{L}\right)$. If the length of the wire gets doubled then the value of specific resistance will be:

The resistances in the left and right gap of a metre bridge are $40\ \Omega$ and $60\ \Omega$ respectively. When the bridge is balanced, the distance of the null point from the centre of the wire towards left is

The current drawn from the battery in the given network is (Internal resistance of the battery is negligible)

The value of unknown resistance $(x)$ for which the potential difference between $B$ and $D$ will be zero in the arrangement shown, is:

When the two known resistances ' $R$ ' and ' $S$ ' are connected in the left and right gaps of a meter bridge respectively, the null point is found at a distance ' $l_1$ ' from the zero end of a meter bridge wire. An unknown resistance ' X ' is now connected in parallel with ' S ' and null point is found at a distance ' $l_2$ ' from zero end of meter bridge wire. The unknown resistance ' X ' is

Resistances in the left gap and right gap of a meter bridge are $10\ \Omega$ and $30\ \Omega$ respectively. If the resistances in the two gaps are interchanged, the balance point will shift to right by

The given circuit shows a uniform straight wire $AB$ of $40\text{ cm}$ length fixed at both ends. In order to get zero reading in the galvanometer $G$, the free end of $J$ is to be placed from $B$ at:

In a metre-bridge when a resistance in the left gap is $2\ \Omega$ and unknown resistance in the right gap, the balance length is found to be $40\text{ cm}$. On shunting the unknown resistance with $2\ \Omega$, the balance length changes by:

A wire of length $10\text{ cm}$ and radius $\sqrt{7} \times 10^{-4}\text{ m}$ is connected across the right gap of a meter bridge. When a resistance of $4.5\ \Omega$ is connected on the left gap by using a resistance box, the balance length is found to be at $60\text{ cm}$ from the left end. If the resistivity of the wire is $\text{R} \times 10^{-7}\ \Omega\text{ m}$, then value of $\text{R}$ is:

In a meter bridge experiment, the balance point is obtained if the gaps are closed by $2\ \Omega$ and $3\ \Omega$. A shunt of $X\ \Omega$ is added to $3\ \Omega$ resistor to shift the null point by 22.5 cm. The value of ' $x$ ' is

The resistance per centimeter of a meter bridge wire is $r$, with $X\ \Omega$ resistance in left gap. Balancing length from left end is at $40\text{ cm}$ with $25\ \Omega$ resistance in right gap. Now the wire is replaced by another wire of $2r$ resistance per centimeter. The new balancing length for same settings will be at

If the galvanometer $G$ does not show any deflection in the circuit shown, the value of $R$ is given by:

If the potential difference between $\mathrm{B}$ and $\mathrm{D}$ is zero, the value of $x$ is $\frac{1}{n}\ \Omega$. The value of $n$ is __________.

A wire of length $3\text{ m}$ connected in the left gap of a meter-bridge balances $8\ \Omega$ resistance in the right gap at a point, which divides the bridge wire in the ratio $3 : 2$. The length of the wire corresponding to resistance of $1\ \Omega$ is

In a given meter bridge, the current flowing through $40\ \Omega$ resistor is

Two resistance $\mathrm{X}$ and $\mathrm{Y}$ are connected in the two gaps of a meterbridge and the null points is obtained at $20\text{ cm}$ from zero end. When the resistance of $20\ \Omega$ is connected in series with the smaller of the two resistance $\mathrm{X}$ and $\mathrm{Y}$, the null point shifts to $40\text{ cm}$ from left end. The value of smaller resistance in ohm is

In meter bridge experiment, null point was obtained at a distance '$l$' from left end. The values of resistances in the left and right gap are doubled and then interchanged. The new position of the null point is

In a meter bridge experiment null point is obtained at $l\text{ cm}$ from the left end. If the meter bridge wire is replaced by a wire of same material but twice the area of across-section, then the null point is obtained at a distance

When two resistance $R_1$ and $R_2$ connected in series and introduced into the left gap of a meter bridge and a resistance of 10 $\Omega$ is introduced into the right gap, a null point is found at 60 cm from left side. When $R_1$ and $R_2$ are connected in parallel and introduced into the left gap, a resistance of 3 $\Omega$ is introduced into the right gap to get null point at 40 cm from left end. The product of $R_1 R_2$ is ____________$\Omega^{2}$

In a metre bridge experiment the balance point is obtained if the gaps are closed by 2$\Omega$ and 3$\Omega$. A shunt of X $\Omega$ is added to 3$\Omega$ resistor to shift the balancing point by 22.5 cm. The value of X is ___________.

In the following network, the current through galvanometer will

A wheatstone bridge is used to determine the value of unknown resistance X by adjusting the variable resistance Y as shown in the figure. For the most precise measurement of X, the resistance P and Q

Current measured by the ammeter (A) in the reported circuit when no current flows through 10 $\Omega$ resistance, will be ________________ A.

In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is $40\text{ cm}$. The balancing length, if the radius of the wire $AB$ is doubled, will be ______________ $\text{cm}$.

In a meter bridge experiment, for measuring unknown resistance 'S', the null point is obtained at a distance $30\text{ cm}$ from the left side as shown at point D. If R is $5.6\text{ k}\Omega$, then the value of unknown resistance 'S' will be __________ $\Omega$.

Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length $l_1$ is $40\text{ cm}$. Now an unknown resistance $x$ is connected in series with $P$ and new balancing length is found to be $80\text{ cm}$ measured from the same end. Then the value of $x$ will be ____________ $\Omega$.

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 15 $\Omega$. The galvanometer (G) shows null deflection when tapping key is at 43 cm mark from end A. If the end correction for end A is 2 cm, then the determined value of R will be ____________ $\Omega$.

The current drawn from the battery in the given network is (Internal resistance of the battery is negligible)

In a wheatstone's bridge, three resistances $\mathrm{P, Q}$ and $\mathrm{R}$ are connected in the three arms and the fourth arm is formed by two resistances $S_1$ and $S_2$ connected in parallel. The condition for the bridge to be balanced is

A balanced bridge is shown in the circuit diagram. The metre bridge wire has resistance $1\ \Omega\,\text{cm}^{-1}$. The current drawn from the battery is (Internal resistance of battery is negligible)

In a meter bridge experiment, the balance point is obtained at length $\ell_1\text{ cm}$ from left end when resistances in the left gap and right gap are $5\ \Omega$ and $R\ \Omega$ respectively. When the resistance $R$ is shunted with equal resistance, the new balance point is at $1.6\ell_1$. The resitance $R$ in ohm is

Two wires '$\mathrm{A}$' and '$\mathrm{B}$' of equal length are connected in left and right gap respectively of meter bridge, null point is obtained at $40\text{ cm}$, from the left end. Diameters of the wires '$A$' and '$B$' are in the ratio $3 : 1$ respectively, the ratio of specific resistance of 'A' to that of 'B' is

Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm from A. The galvanometer shows zero deflection.

The value of x, to the nearest integer, is ___________.

The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15$\Omega$ resistance is connected across BD. Calculate the current through the galvanometer when a potential difference of 10V is maintained across AC.

Four resistances of 15$\Omega$, 12$\Omega$, 4$\Omega$ and 10$\Omega$ are connected respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of 10$\Omega$ to balance the network is _____$\Omega$.

Two wires $A$ and $B$ of equal lengths are connected in left and right gap of a meter bridge, null point is obtained at $40\text{ cm}$ from left end. Diameters of the wire $A$ and $B$ are in that ratio $3 : 1$. The ratio of specific resistance of $A$ to the of $B$ is

A resistance wire connected in the left gap of a metre bridge balances a 10 $\Omega$ resistance in the right gap at a point which divides the bridge wire in the ratio 3:2. If the length of the resistance wire is 1.5 m, then the length of 1 $\Omega$ of the resistance wire is:

In a meter bridge experiment S is a standard resistance. R is a resistance wire. It is found that balancing length is $l$ = 25 cm. If R is replaced by a wire of half length and half diameter that of R of same material, then the balancing distance $l'$ (in cm) will now be________.

In a Wheatstone bridge(see fig.), Resistances P and Q are approximately equal. When R = 400 $\Omega$, the bridge is balanced. On interchanging P and Q, the value of R, for balance, is 405 $\Omega$. The value of X is close to:

The Wheatstone bridge shown in figure, here, gets balanced when the carbon resistor used as R1 has the colour code (Orange, Red, Brown). The resistors R2 and R4 are 80$\Omega$ and 40$\Omega$, respectively. Assuming that the colour code for the carbon resistors gives their accurate values, the colour code for the carbon resistor, used as R3, would be -

With a resistance of ' $X$ ' in the left gap and resistance of $9\ \Omega$ in the right gap of a meter bridge, the balance point is obtained at 40 cm from the left end. In what way and to which resistance $3\ \Omega$ resistance be connected to obtain the balance at 50 cm from the left end?

The metre bridge shown is in balance position with $\frac{P}{Q} = \frac{l_1}{l_2}$. If we now interchange the positions of galvanometer and cell, will the bridge work? If yes, what will be balance condition?

In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure

Which of the readings is inconsistent?

In the experimental set up of metre bridge shown in the figure, the null point is obtained at a distance of 40 cm from A. If a 10 $\Omega$ resistor is connected in series with R1, the null point shifts by 10 cm. The resistance that should be connected in parallel with (R1 + 10) $\Omega$ such that the null point shifts back to its initial position is:

In the network shown cell E has internal resistance $r$ and the galvanometer shows zero deflection. If the cell is replaced by a new cell of emf $2E$ and internal resistance $3r$ keeping everything else identical, then

In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation $\frac{dR}{d\ell}$ of its resistance R with length $\ell$ is $\frac{dR}{d\ell} \propto \frac{1}{\sqrt{\ell}}$. Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point P. What is the length AP?

On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The resistance of their series combination is 1 k$\Omega$. How much was the resistance on the left slot before interchanging the resistances?

In a meter bridge, as shown in the figure, it is given that resistance $Y = 12.5\ \Omega$ and that the balance is obtained at a distance $39.5\text{ cm}$ from end $A$ (by Jockey J). After interchanging the resistances $X$ and $Y$, a new balance point is found at a distance $l_2$ from end $A.$ What are the value of $X$ and $l_2$?

Which of the following statements is false?

In a meter bridge experiment resistances are connected as shown in the figure. Initially resistance P = 4 $\Omega$ and the neutral point N is at 60 cm from A. Now an unknown resistance R is connected in series to P and the new position of the neutral point is at 80 cm from A. The value of unknown resistance R is:

The resistances in the two arms of the meter bridge are 5 $\Omega$ and R$\Omega$ respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6$l$1. The resistance R is

In a metre bridge experiment null point is obtained at 40 cm from one end of the wire when resistance X is balanced against another resistance Y. If X < Y, then the new position of the null point from the same end, if one decides to balance a resistance of 3X against Y, will be close to:

The resistances of the four arms P, Q, R and S in a Wheatstone's bridge are 10 ohm, 30 ohm, 30 ohm and 90 ohm, respectively. The e.m.f. and internal resistance of the cell are 7 volt and 5 ohm respectively. If the galvanometer resistance is 50 ohm, the current drawn from the cell will be

In the circuit shown the cells A and B have negligible resistances. For VA = 12 V, R1 = 500 $\Omega$ and R = 100 $\Omega$ the galvanometer (G) shows no deflection. The value of VB is

Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer.

The value of the unknown resister $R$ is

Three resistances, P, Q, R each of 2$\Omega$ and an unknown resistance S from the four arms of a Wheatstone bridge circuit. When a resistance of 6 $\Omega$ is connected in parallel to S the bridge gets balanced. What is the value of S?

In a Wheatstone's bridge, three resistance $P, Q$ and $R$ connected in the three arms and the fourth arm is formed by two resistances $S_1$ and $S_2$ connected in parallel. The condition for the bridge to be balanced will be

In a meter bridge experiment null point is obtained at $20\text{ cm}$, from one end of the wire when resistance $X$ is balanced against another resistance $Y.$ If $X < Y$, then where will be the new position of the null point from the same end, if one decides to balance a resistance of $4X$ against $Y$

In a Wheatstone's bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, the equivalent resistance of the combination as seen by the battery is

The resistance of each arm of the Wheatstone's bridge is 10 ohm. A resistance of 10 ohm is connected in series with a galvanometer then the equivalent resistance across the battery will be

In metre-bridge the balancing length from left is found to be $20\text{ cm}$ when standard resistance of $1\ \Omega$ is in right gap. The value of unknown resistance is