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A circular coil of wire consists of exactly 100 turns with a total resistance of 0.20 Ω. The area of the coils is 100 cm2. The coil is kept in a uniform magnetic field B asshown in the figure. The magnetic field is increased at a constant rate of 2 T/s. The induced current in the coil in A is _________.

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answer is 5.

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Detailed Solution

The total Faraday's flux through N turns of the coil i.e. ϕtotal =NBAcos⁡θAccording to Faraday's law of electromagnetic induction,we getEinduced=−dϕdt=−ddt[NBAcos⁡θ]=−NAcos⁡θdBdt∴The current induced in the coil,Iinduced =Einduced R=100×100×10−4×cos⁡60∘×20.2=5A

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A circular coil of wire consists of exactly 100 turns with a total resistance of 0.20 Ω. The area of the coils is 100 cm2. The coil is kept in a uniform magnetic field B asshown in the figure. The magnetic field is increased at a constant rate of 2 T/s. The induced current in the coil in A is _________.