A circuit has 1000 turns enclosing a magnetic circuit 20cm2 in section

1.	A circuit has 1000 turns enclosing a magnetic circuit 20cm2 in section. With 4A, the flux density is 1.0 Wb/m2 and with 9A, it is 1.4 Wbm2. Find the mean value of the inductance between these current limits and the induced e.m.f. if the current falls from 9 A to 4 A in 0.05 seconds.
Answer» L = N(dΦ/dl) = N(d/dI)(BA) = NA(dB/dI) henry = 1000 × 20 × 10⁻⁴ (1.4 − 1)/(9 − 4) = 0.16 H Now, e_L = L.dI/dt ; dI = (9 − 4) = 5 A, dt = 0.05 s ∴ e_L = 0.16 × 5/0.05 = 16 V

A circuit has 1000 turns enclosing a magnetic circuit 20cm2 in section. With 4A, the flux density is 1.0 Wb/m2 and with 9A, it is 1.4 Wbm2. Find the mean value of the inductance between these current limits and the induced e.m.f. if the current falls from 9 A to 4 A in 0.05 seconds.

Answer»

L = N(dΦ/dl) = N(d/dI)(BA) = NA(dB/dI)

henry = 1000 × 20 × 10⁻⁴ (1.4 − 1)/(9 − 4) = 0.16 H

Now, e_L = L.dI/dt ; dI = (9 − 4) = 5 A, dt = 0.05 s

∴ e_L = 0.16 × 5/0.05 = 16 V

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A circuit has 1000 turns enclosing a magnetic circuit 20cm2 in section. With 4A, the flux density is 1.0 Wb/m2 and with 9A, it is 1.4 Wbm2. Find the mean value of the inductance between these current limits and the induced e.m.f. if the current falls from 9 A to 4 A in 0.05 seconds.

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