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Physics-

General

Easy

Question

In circuit shown below, the resistances are given in ohm and the battery is assumed ideal with emf equal to 3V. The voltage across the resistance $R subscript 4 end subscript$ is

0.4V
0.6V
1.2V
1.5V

The correct answer is: 0.4V

Equivalent resistance of the given network
$R subscript e q end subscript equals 75 capital omega$
∴ Total current through battery,
$i equals fraction numerator 3 over denominator 75 end fraction$
$i subscript 1 end subscript equals i subscript 2 end subscript equals fraction numerator 3 over denominator 75 cross times 2 end fraction equals fraction numerator 3 over denominator 150 end fraction$

Current through resistance
$R subscript 4 end subscript equals fraction numerator 3 over denominator 150 end fraction cross times fraction numerator 60 over denominator open parentheses 30 plus 60 close parentheses end fraction$
$equals fraction numerator 3 over denominator 150 end fraction cross times fraction numerator 60 over denominator 90 end fraction$
$equals fraction numerator 2 over denominator 150 end fraction A$
$V subscript 4 end subscript equals i subscript 4 end subscript cross times R subscript 4 end subscript$
$equals fraction numerator 2 over denominator 150 end fraction cross times 30$
$equals fraction numerator 2 over denominator 5 end fraction equals 0.4 blank v o l t$

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