AIPMT | 2015Current Electricity and Electrical InstrumentHard

Question

A potentiometer wire has length 4 m and resistance 8Ω The resistance that must be connected in series with the wire and an accumulator of e.m.f. 2V, so as to get a potential gradient 1 mV per cm on the wire is :

Options

A.40 Ω
B.44 Ω
C.48 Ω
D.32 Ω

Solution

Potential gradient = = 10-3 V/cm = 10-1 V/m
Let the resistance to be connected is R then
I =
Potential drop across the potentiometer wire

Potential gradient = V/m
 = = 0.1
⇒ R = 32Ω
Hence option (4)

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