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Question

A copper wire having resistance 0.01 ohm in each metre is used to wind a 400-turn solenoid of radius 1.0 cm and length 20 cm. Find the emf of a battery which when connected across the solenoid will cause a magnetic field of 11.0×102 T near the centre of the solenoid.


Solution

Given     Rl=0.01 Ω,

radius r=1.0 cm

n=400, B=1.0×102 T

      i=ER0=E0.01×2πr×400

=E0.01×2×π×0.01×400

We know that

B=μoni

1×102=4π×107×40020×102×E2π×4×102

E=102×20×102×2×102107×4×102

=1 V.  

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