(a) A coil of 1000 turns is wound on a torroidal magnetic core having

1.	(a) A coil of 1000 turns is wound on a torroidal magnetic core having a reluctance of 104 AT/ Wb. When the coil current is 5 A and is increasing at the rate of 200 A/s, determine. (i) energy stored in the magnetic circuit (ii) voltage applied across the coil Assume coil resistance as zero. (b) How are your answers affected if the coil resistance is 2 Ω
Answer» (a) L = N²/S = 1000² /10⁶ = 1 H (i) Energy stored = 1/2LI² = 1/2 x 1 x 52 = 12.5J (ii) Voltage applied across coil= self-induced e.m.f. in the coil = L.dI/dt = 1 × 200 = 200 V (b) Though there would be additional energy loss of 52 × 2 = 50 W over the coil resistance, energy stored in the coil would remain the same. However, voltage across the coil would increase by an amount = 5 × 2 = 10 V i.e., now its value would be 210 V.

(a) A coil of 1000 turns is wound on a torroidal magnetic core having a reluctance of 104 AT/ Wb. When the coil current is 5 A and is increasing at the rate of 200 A/s, determine. (i) energy stored in the magnetic circuit (ii) voltage applied across the coil Assume coil resistance as zero. (b) How are your answers affected if the coil resistance is 2 Ω

Answer»

(a) L = N²/S = 1000² /10⁶ = 1 H

(i) Energy stored = 1/2LI² = 1/2 x 1 x 52 = 12.5J

(ii) Voltage applied across coil= self-induced e.m.f. in the coil = L.dI/dt = 1 × 200 = 200 V

(b) Though there would be additional energy loss of 52 × 2 = 50 W over the coil resistance, energy stored in the coil would remain the same.

However, voltage across the coil would increase by an amount = 5 × 2 = 10 V i.e., now its value would be 210 V.

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