Question

In the given circuit, $R_1=10\Omega ,R_2=6\Omega ,E=10V$. Select the correct statements from the following

• A. Effective resistance of the circuit is $20\Omega$
• B. Reading of $A_1$ is $1/2$ amp
• C. Reading of $A_2$ is $1/4$ amp
• D. Reading of $A_3$ is $1/8$ amp

Answer 1

Answer: (A), (B), (C)

The correct options are
A Effective resistance of the circuit is $20\Omega$
B Reading of $A_1$ is $1/2$ amp
C Reading of $A_2$ is $1/4$ amp

Potential difference across $R_2$ is zero therefore current in three branches is zero. Therefore, current in two branch containing $R_1$ will be same and the circuit will be simplified as shown
Effective resistance of the circuit $R_{eff}=\frac{40\times 40}{40+40}=20\Omega$\
Current through the circuit $I=\frac{10}{20}=\left(1/2\right)$ amp and reading of $A_1=\frac{1}{2}amp$ and reading of $A_2=\frac{1}{4}amp$