Symmetry in Circuits

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. Find the equivalent resistance of the network shown in figure between the points P and Q.

1. $30\Omega$
2. $\frac{10}{3}\Omega$
3. $10\Omega$
4. $\frac{3}{10}\Omega$

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

Q. A current of 2 A flows in a system of conductors as shown. The potential difference $(V_A-V_B)$ will be

1. + 1V
2. – 1 V
3. + 2V
4. – 2 V

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

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

Q. The equivalent resistance between A and B in the circuit will be

1. $\frac{6}{5}r$
2. $\frac{5}{4}r$
3. $\frac{7}{6}r$
4. $\frac{8}{7}r$

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

1. R
2. 3R
3. 
4. 6R

Q.

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

1. $7\Omega$

2. $5\Omega$

3. $\frac{5}{7}\Omega$

4. $\frac{7}{5}\Omega$

Q.

An infinite ladder is constructed with 1 $\Omega$ and 2 $\Omega$ resistors as shown in figure. Find the total current provided by the battery of EMF 12 V?

1. Infinite

2. $-1\Omega$

3. $2\Omega$

4. None of these

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