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Q.

A solenoid has 2000 turns wound over a length of 0.30 metre. The area of its cross-section is  1.2×10−3m2. Around its central section, a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in 0.25 sec, then the e.m.f. induced in the coil is

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a

6×10−4V

b

4.8×10−3V

c

6×10−2V

d

48 mV

answer is D.

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Detailed Solution

Induced emf  e=Mdidt=μ0N1N2Al⋅didt=4π×10−7×2000×300×1.2×10−30.30×|2−(−2)|0.25=48.2×10−3V=48mV
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A solenoid has 2000 turns wound over a length of 0.30 metre. The area of its cross-section is  1.2×10−3m2. Around its central section, a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in 0.25 sec, then the e.m.f. induced in the coil is