Symmetry in Circuits

Q. In the given figure, equivalent resistance between A and B will be

1. $\frac{14}{3}\Omega$
2. $\frac{3}{14}\Omega$
3. $\frac{9}{14}\Omega$
4. $\frac{14}{9}\Omega$

Q. Find $R_{AB}$ All resistances in $\Omega$

1. $\frac{3}{5}\Omega$
2. $\frac{3}{8}\Omega$
3. $\frac{5}{3}\Omega$
4. $\frac{3}{2}\Omega$

Q. What will be the equivalent resistance of circuit shown in figure between points A and D

1. $10\Omega$
2. $20\Omega$
3. $30\Omega$
4. $40\Omega$

Q. The equivalent resistance between the points A and B of the circuit shown in figure is.

1. $7\Omega$
2. $5\Omega$
3. $\frac{5}{7}\Psi$
4. $\frac{7}{5}\Psi$

Q. In the combination of resistances shown in the figure the potential difference between B and D is zero, when unknown resistance (x) is

1. $4\Omega$
2. $2\Omega$
3. $3\Omega$
4. The emf of the cell is required

Q. Seven resistors each of resistance 5 ohm are connected as shown in figure. The equivalent resistance between points A and B is

1. 1 ohm
2. 7 ohm
3. 35 ohm
4. 49 ohm

Q. The capacity of each condenser in the following fig. is ‘C’. Then the equivalent capacitance across A and B is?

1. $\frac{C}{4}$
2. $\frac{3C}{4}$
3. $\frac{4C}{3}$
4. $3C$

Q. The equivalent resistance between points $A$ and $B$ in the network shown in figure is:

1. $\frac{15}{7}\text{R}$
2. $\frac{8}{7}\text{R}$
3. $\frac{12}{7}\text{R}$
4. $\frac{16}{7}\text{R}$

Q. Six resistors each of resistance R are connected as shown in figure. What is the effective resistance between points A and B?

1. $\frac{R}{3}$
2. R
3. 3R
4. 6R

Q. Find equivalent resistance between $A$ and $B$

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

Q. The equivalent resistance between points A and B of an infinite network of resistance, each of $1\Omega$, connected as shown is

1. Infinite
2. $2\Omega$
3. $\frac{1+\sqrt{5}}{2}\Omega$
4. Zero

Q. A battery of internal resistance $4\Omega$ is connected to the network of resistances as shown. In order to give the maximum power to the network, the value of R (in $\Omega$) should be

1. $\frac{4}{9}$
2. $\frac{8}{9}$
3. 2
4. 18

Q.

Twelve wires, each having equal resistance of 2 $\Omega$, are joined to form a cube. What is the equivalent resistance between the ends of a face diagonal?

1. $\frac{3}{2}\Omega$

2. $\frac{2}{3}\Omega$

3. $\frac{5}{2}\Omega$

4. $\frac{2}{5}\Omega$

Q.

Twelve identical resistance are arranged to form a cubical structure find the effective resistance between .
1 and 8

1. $\frac{R}{6}$
2. $\frac{5R}{6}$
3. $\frac{6R}{5}$
4. $5R$

Q. A battery of internal resistance $4\Omega$ is connected to the network of resistances as shown. In order to give the maximum power to the network, the value of R (in $\Omega$) should be

1. $\frac{4}{9}$
2. $\frac{8}{9}$
3. 2
4. 18

Q. Twelve wires, each having equal resistance of 2 $\Omega$, are joined to form a cube. Equivalent resistance between the ends of a face diagonal is.

1. $1.5\Omega$
2. $0.4\Omega$
3. $0.66\Omega$
4. $1.25\Omega$

Q. Twelve wires, each having equal resistance of 2 Ω, are joined to form a cube. What is the equivalent resistance between diagonally opposite points?

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