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Question:
when 10V ,DC is applied across a coil current through it is 2.5A IF 10V 50 hz A.C is applied current reduces to 2A . calculate reactance of the coil.
Answer:

Case 1: Current Idc = 2.5 A ; Voltage Vdc = 10V Hence, R = Vdc / Idc = 10/2.5 ohms = 4 ohms

Case 2: Current Iac = 2 A ; Voltage Vac = 10V Hence, Z = Vac / Iac = 10/2 ohms = 5 ohms

We know that ω = 50 radians / sec

We need L reactance of the coil which is L = √ (Z2 – R2 )/ω = 9/50 = 0.18 Henry

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