Search any question & find its solution
Question:
Answered & Verified by Expert
The length of a potentiometer wire is $L$. A cell of e.m.f. $E$ is balanced at a length $\frac{L}{3}$ from the positive end of the wire. If the length of the wire is increased $\frac{L}{2}$ at what distance will the same cell gives a balance point?
Options:
Solution:
2775 Upvotes
Verified Answer
The correct answer is:
$\frac{L}{2}$
Let $x$ be the required balance length.
Potential gradient in the first case $=\frac{E_0}{L}$
From equation (1) and (2), we get
$\begin{aligned} & \frac{E_0}{3}=\left(\frac{2 E_0}{3 L}\right) x \\ & \Rightarrow x=\frac{L}{2}\end{aligned}$
Potential gradient in the first case $=\frac{E_0}{L}$
From equation (1) and (2), we get
$\begin{aligned} & \frac{E_0}{3}=\left(\frac{2 E_0}{3 L}\right) x \\ & \Rightarrow x=\frac{L}{2}\end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.