An unknown inductive coil is connected in series with a resistor to a (rms) AC source

PHYSICS · Single correct · CBSE · Physics · Alternating Current · Alternating Current

Problem

An unknown inductive coil is connected in series with a 30 Ω30\,\Omega resistor to a 220 V220\,\text{V} (rms) AC source. At 50 Hz50\,\text{Hz} the rms current is 4.4 A4.4\,\text{A}, whereas at 25 Hz25\,\text{Hz} it is 6.0 A6.0\,\text{A} (the supply voltage remaining unchanged). Calculate the inductance of the coil. (a) 0.16  H0.16\;\text{H} (b) 0.085  H0.085\;\text{H} (c) 0.13  H0.13\;\text{H} (d) 0.32  H0.32\;\text{H}

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