Question

In the given circuit, battery is ideal, current through the battery is $\frac{xV}{2R}$. Find the value of $x$.

Answer 1

Ref. image I

We need to find equivalent of the circuit

Ref. image II As symmetry in circuit because all values are equal.

Ref. image III

Balanced wheatstrne bridge

So middle $\frac{R}{2}$ goes.

$\Rightarrow Req.=\frac{2R\times R}{3R}=\frac{2R}{3}$.

$\Rightarrow I=\frac{V}{Req.}=\frac{V}{2R/3}=\frac{3V}{2R}$

$\Rightarrow x=3$