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Problem 3: A circuit has 1000 turns enclosing a magnetic circuit 20 cm2 in section. With 4 A current, the flux density is 1 Wbm-2 and with 9 A current, it is 1.4 Wbm-2. Find the mean value of the inductance between these limits and the induced emf, if the current falls 9 A to 4 A in 0.05 seconds.

Solution

Given data           No of turns in the circuit = 1000                 

Area enclosed =

Case 1:      Current flowing in the circuit, I1 = 4 Amp, Flux density, Ф1 = 1 Wb m-2

Case 2:  Current flowing in the circuit, I2 = 9 Amp, Flux density, Ф2 = 1.4 Wbm-2

                              Time for the change in current = 0.05 sec

Required              Mean value of inductance, L =?                  Induced emf, ε =?

Formulae

Now from the given data, ΔB = 1.4 – 1.0 = 0.4 Wb m-2

                                                ΔI = 9 – 4 = 5 Amp

Put for the formula of inductance,

Put for the formula of emf,

3 Comments

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