Current Electricity Charging Discharging Of Capacitors Question 280

Question: A wire of length 100 cm is connected to a cell of emf 2 V and negligible internal resistance. The resistance of the wire is 3 W. The additional resistance required to produce a potential drop of 1 milli volt per cm is

[Kerala PET 2002]

Options:

A) 60 W

B) 47 W

C) 57 W

D) 35 W

Show Answer

Answer:

Correct Answer: C

Solution:

Potential gradient $ x=\frac{e}{(R+R _{h}+r)}.\frac{R}{L} $
$ \Rightarrow \frac{{{10}^{-3}}}{{{10}^{-2}}}=\frac{2}{(3+R _{h}+0)}\times \frac{3}{1}\Rightarrow R _{h}=57\Omega $ .