In the circuit diagram shown in figure given below, the current flowing through resistance $3 Ω$ is $\frac{x}{3} A$ . The value of $x$ is ________.

Question

In the circuit diagram shown in figure given below, the current flowing through resistance 3 Ω is x 3 A . The value of x is ________.

TestHub · Accepted Answer

Let the current flowing through the circuit be $I A$ in anti-clockwise direction.

The net resistance is $R = 4.5 Ω + 2 Ω + 1.5 Ω = 8 Ω$

Hence, $I = \frac{V}{R} = \frac{4 V}{8 Ω} = 0.5 A$

The current flowing through the $3 Ω$ resistor is

$\frac{6}{6 + 3} \times 0.5 = \frac{1}{3} A$

So, $x = 1$

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