Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Figure (i) below shows a Wheatstone's bridge in which $P, Q, R$ and $S$ are fixed resistances, $G$ is a galvanometer and $B$ is a battery. For this particular case, the galvanometer shows zero deflection. Now, only the positions of $B$ and $G$ are interchanged, as shown in figure (ii). The new deflection of the galvanometerPhysics Question Image

KVPYKVPY 2010

Solution:

image
In case (i), galvanometer shows zero deflection.
$\therefore V_{B}=V_{D}$
$\Rightarrow \frac{P}{S}=\frac{Q}{R}$ .....(i)
When battery $B$ and galvanometer $G$ are interchanged, position of galvanometer is as shown below,
image
Now, ratio of resistances across galvanometer is
$\frac{S}{P} $ and $ \frac{R}{Q}$
As from Eq. (i), $\frac{S}{P}=\frac{R}{Q}$
Hence, galvanometer still shows zero deflection because Wheatstone's bridge is balanced.