MHT CET · Physics · Current Electricity
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?
- A \(\frac{2 L}{3}\)
- B \(\frac{L}{2}\)
- C \(\frac{L}{6}\)
- D \(\frac{4 L}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{L}{2}\)
Step-by-step Solution
Detailed explanation
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
\(\begin{aligned} & \frac{E_0}{3}=\left(\frac{2 E_0}{3 L}\right) x \\ & \Rightarrow x=\frac{L}{2}\end{aligned}\)
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