The current I in the given circuit will be .. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The given circuit can be simplified by identifying the Wheatstone bridge structure. Looking at the circuit,the resistors form a balanced Wheatston

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(A) The given circuit can be simplified by identifying the Wheatstone bridge structure. Looking at the circuit,the resistors form a balanced Wheatstone bridge. In a balanced Wheatstone bridge,the potential difference across the central resistor $(2 \, \Omega)$ is zero,so no current flows through it. Thus,the $2 \, \Omega$ resistor can be neglected. Now,the circuit consists of two parallel branches. The upper branch has two $4 \, \Omega$ resistors in series,giving a resistance of $4 \, \Omega + 4 \, \Omega = 8 \, \Omega$. The lower branch also has two $4 \, \Omega$ resistors in series,giving a resistance of $4 \, \Omega + 4 \, \Omega = 8 \, \Omega$. These two branches are in parallel,so the equivalent resistance $R_{	ext{net}}$ is: $\frac{1}{R_{	ext{net}}} = \frac{1}{8} + \frac{1}{8} = \frac{2}{8} = \frac{1}{4} \implies R_{	ext{net}} = 4 \, \Omega$. Using Ohm's law,the total current $I$ is: $I = \frac{V}{R_{	ext{net}}} = \frac{40 \, 	ext{V}}{4 \, \Omega} = 10 \, 	ext{A}$.

The current $I$ in the given circuit will be $......A$.

Similar Questions

The figure shows a network of five resistances and two batteries. Which of the batteries is getting charged?

Define network,junction (branch point),and loop in the context of electrical circuits.

In the given figure,the value of $V_{0}$ will be $.....V$.

The figure shows a network of four resistances and three batteries. Mark the incorrect statement.

In a Wheatstone bridge,three resistances $P, Q$ and $R$ 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

Vedclass Test Series

Exam Paper Generator

Online Exam Module