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Question: A 600 cg potentiometer wire is connected to a circuit as shown in figure. The resistance of potentio...

A 600 cg potentiometer wire is connected to a circuit as shown in figure. The resistance of potentiometer wire is 15r. The distance from point A at which the jockey should touch the wire to get zero deflection in the galvanometer is–

A

320 cm

B

230 cm

C

160 cm

D

460 cm

Answer

320 cm

Explanation

Solution

Current flowing through potential wire is –

I = E15r+r\frac { E } { 15 r + r } =

Potential drop across potential wire is,

V = I × 15 r = 15E16\frac { 15 \mathrm { E } } { 16 }

Potential gradient, K =

\ E2\frac { E } { 2 } = Kl or E2\frac { E } { 2 } = × l

or l = 16×60015×2\frac { 16 \times 600 } { 15 \times 2 } = 320 cm.