# A coil has an inductance of 0.4 H and a resistance of 20O. It is connected to a 240V, 50 Hz supply. Determine; (i) The reactance of the coil. (ii) The impedance of the circuit. (iii) The maximum current through the coil.

1. (a) A 6H inductor is placed in series with a 30O resistor, an e.m.f of 8 V suddenly being applied to the combination. At 0.60 seconds after contact is made. Calculate:
(i) The rate at which energy is delivered by the battery.
(ii) The rate at which Joule heating appears in the resistor.
(iii) The rate at which energy is stored in the inductor.
(b) A long solenoid, x, of 1000 turns and area 4× 10-3m2 carries a current of 1.2A and produces a flux density 8× 10-3 T in the middle of the coil. A small coil,Y, of 20 turns and area 2× 10-5 is placed in the middle of coil x. Find the mutual inductance, m, between the two coils.
2. (a)A coil has an inductance of 0.4 H and a resistance of 20O. It is connected to a 240V, 50 Hz supply. Determine;
(i) The reactance of the coil.
(ii) The impedance of the circuit.
(iii) The maximum current through the coil.
(iv) The phase angle between the input voltage and current.
(c)A long solenoid of radius 3 cm and 5000 turns per unit length carries a varying current, i, given by
i=4 sin21t
where t is time in seconds.
Calculate the magnitude of the tangential electric field on a loop of radius 4cm after 10 seconds. Assume the coil and solenoid are concentric.

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