Wheatstone Bridge

Q. a solid metallic cuboid of homogenous material having geometrical dimension as shown in the figure will have a ratio of resistances for the sense of current along x, y and z directions respectively equal to

Q. In the circuit shown switch $S$ is closed at $t=0$. Let $i_1$ and $i_2$ be the currents at any finite time $t$, the ratio $i_1/i_2$.

Q. If each capacitor has capacitance $C$ in the figure $\left(a\right)$ then find $C_{AB}$.

1. $C$
2. $C/2$
3. $3C/2$
4. $\text{none of these}$

Q. What resistor should be connected in parallel with the $20\Omega$ resistor in branch $\text{ADC}$ in the circuit shown in figure, so that potential difference between $\text{B}$ and $\text{D}$ may be zero ?

1. $15\Omega$
2. $5\Omega$
3. $20\Omega$
4. $10\Omega$

Q. For the circuit shown in the figure, choose the correct options.

1. The value of $R_1=50\Omega$
2. The value of $R=14\Omega$
3. The potential difference across resistor $R$ is equal to $20\text{V}$
4. The current through $10\Omega$ resistor connected across $NP$ is $0.5\text{A}$

Q. A six ohm wire is doubled on itself .calculate new resistance

Q. The figure shows a meter bridge circuit with $\text{AB}=100\text{cm},X=12\Omega$ and $R=18\Omega$, and the jockey $J$ is at the balance point. If $R$ is now made $8\Omega$, through what distance will $J$ have to be moved to obtain a balanced bridge ?

Q.

Consider two identical galvanometers and two identical resistors having resistance, $R$. Which of the following is true? If the internal resistance of the galvanometers $R_C<\frac{R}{2}$, which of the following statement(s) about any one of the galvanometers is(are) true?

1. The maximum current range is obtained when all the components are connected in parallel

2. The maximum voltage range is obtained when all the components are connected in series

3. The maximum current range is obtained when two galvanometers are connected in series and the combination in parallel with both the resistors.

4. The maximum voltage range is obtained when two resistors and one galvanometer is connected in series, and the second galvanometer is connected in parallel to the first galvanometer.

Q. Seven resistors are connected as shown in the diagram.

The equivalent resistance in $\Omega$ of this network between $A$ and $B$ is:

1. $6$
2. $8$
3. $12$
4. $20$

Q. The P.D between A and B will be zero when the resistance R is

1. 4.5 ohm
2. 12 ohm
3. 9 ohm
4. 6 ohm

Q. All resistances in the circuit are of $2\Omega$ each. The current in the resistance between $D$ and $E$ is

1. $5\text{A}$
2. $2.5\text{A}$
3. $1\text{A}$
4. $7.5\text{A}$

Q. Four resistances are connected in a circuit as shown in the figure. The electric current flowing through $4\Omega$ and $6\Omega$ resistance respectively will be

1. $21\text{A}$ and $2\text{A}$
2. $2\text{A}$ and $4\text{A}$
3. $2\text{A}$ and $2\text{A}$
4. $1\text{A}$ and $2\text{A}$

Q. In the network shown in the figure each of resistance is equal to $2\Omega$. The resistance between A and B is

1. $1\Omega$
2. $2\Omega$
3. $3\Omega$
4. $4\Omega$

Q. Figure shows a network of resistances connected to a 2 V battery. If the internal resistance of the battery is negligible current I in the circuit is

1. 0.25 A
2. 0.5 A
3. 0.75 A
4. 1 A

Q. The value of R in the given figure so that there is no current in the $10\Omega$ resistor is.

1. $10\Omega$
2. $20\Omega$
3. $40\Omega$
4. $10\Omega$

Q. The P.D between A and B will be zero when the resistance R is

1. 4.5 ohm
2. 12 ohm
3. 9 ohm
4. 6 ohm

Q. Find the total current provided by the battery in the circuit as shown. Each resistor has a resistance of $1\Omega$

1. 40A
2. 20A
3. 80A
4. 10A

Q. Four resistances are connected in a circuit as shown in the figure. The electric current flowing through $4\Omega$ and $6\Omega$ resistance respectively will be

1. $1\text{A}$ and $2\text{A}$
2. $2\text{A}$ and $2\text{A}$
3. $2\text{A}$ and $4\text{A}$
4. $21\text{A}$ and $2\text{A}$

Q. A cell of emf $\epsilon$ & and internal resistance r is connected across circuit as given in figure. For what value of R heat generated in outer circuit is maximum, $\epsilon =10V$ & $r=\frac{10}{3}\Omega$

1. $R=5\Omega$
2. $R=3\Omega$
3. $R=10\Omega$
4. Heat generated is independent of R

Q. Find the resistance of the circuit shown below figure between points A and D.

1. $5R\Omega$
2. $\frac{5R}{2}\Omega$
3. $R\Omega$
4. $\frac{2R}{3}\Omega$

Q. Four resistances P, Q, R, X formed wheat stone bridge. The bridge is balanced when $R=64\Omega$. If P and Q are inter changed to bridge is balanced for $R=144\Omega$. The value of ‘X’ is

1. $300\Omega$
2. $200\Omega$
3. $110\Omega$
4. $96\Omega$