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A coil of inductance 0 12 H and resistance 4 Om... - WAEC Physics 2013 Question

A coil of inductance 0.12 H and resistance 4\(\Omega\), is connected across a 240V, 50Hz supply. Calculate the current through it. [\(\pi\) = 3.142]
A
6.3A
B
33.3A
C
37.2A
D
40.0A
correct option: a

XL = (2\pi f L)

= = 2 x 3.142 x 50 x 0.12

= 37.68(\Omega)

Z = (\sqrt{R^2 + X_L^2} = \sqrt{4^2 + 37.68^2})

I = (\frac{V}{z} = \frac{240}{37.89})

= 6.3A

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