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Question

Physics Question on Resistance

The current in the 1Ω1\Omega resistor shown in the circuit is

A

23A\frac{2}{3}\,A

B

3A3\,A

C

6A6\,A

D

2A2\,A

Answer

2A2\,A

Explanation

Solution

Two 4Ω4\Omega resistors are in parallel combination. Their equivalent resistance
=4×44+4=168=2Ω=\frac{4\times4}{4+4}=\frac{16}{8}=2\Omega
\therefore Total resistance of the
network =2+1=3Ω= 2 + 1 = 3\Omega
\therefore Current through 1Ω1\Omega resistor, i=63=2Ai=\frac{6}{3}=2A