Current Electricity Ques 14

Five equal resistances each of resistance $R$ are connected as shown in the figure. A battery of $V$ volts is connected between $A$ and $B$. The current flowing through the path $A F C E B$ will be

[2004]

(a) $\frac{2 V}{R}$

(b) $\frac{3 V}{R}$

(c) $\frac{V}{R}$

(d) $\frac{V}{2 R}$

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Answer:

Correct Answer: 14.(d)

Solution:

A balanced Wheatstone’s bridge exists between $A$ & $B$.

$\therefore R _{\text{eq }}=R$

Current through circuit $=V / R$

Current through $I=V / 2 R$