First slide

AC Circuits

Question

The reactance of a coil when used in the domestic ac power supply (220 volts, 50 cycles per second) is 50 ohms. The inductance of the coil is nearly

Moderate

A

2.2 henry
B

0.22 henry
C

1.6 henry
D

0.16 henry

Solution

$X_{L} = 2 πν L \Rightarrow L = \frac{X_{L}}{2 πν} = \frac{50}{2 \times 3 .14 \times 50} = 0 .16 H$

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