Current Electricity Charging Discharging Of Capacitors Question 192

Question: A 2 volt battery, a $ 15,\Omega $ resistor and a potentiometer of 100 cm length, all are connected in series. If the resistance of potentiometer wire is $ 5,\Omega $ , then the potential gradient of the potentiometer wire is

[AIIMS 1982]

Options:

A) 0.005 V/cm

B) 0.05 V/cm

C) 0.02 V/cm

D) 0.2 V/cm

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Answer:

Correct Answer: A

Solution:

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

$ =\frac{2}{(15+5+0)}\times \frac{5}{1} $

$ =0.5\frac{V}{m}=0.005,\frac{V}{cm} $