Current Electricity Charging Discharging Of Capacitors Question 317

Question: Potentiometer wire of length 1 m is connected in series with 490 $ \Omega $ resistance and 2V battery. If 0.2 mV/cm is the potential gradient, then resistance of the potentiometer wire is

[DCE 2005]

Options:

A) 4.9 $ \Omega $

B) 7.9 $ \Omega $

C) 5.9 $ \Omega $

D) 6.9 $ \Omega $

Show Answer

Answer:

Correct Answer: A

Solution:

Potential gradient $ x=\frac{e}{(R+R _{h}+r)}.\frac{R}{L} $

Therefore $ \frac{0.2\times {{10}^{-3}}}{{{10}^{-2}}}=\frac{2}{(R+490+0)}\times \frac{R}{1} $

Therefore R = 4.9 W.