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Question

Question: The reactance of a coil when used in the domestic ac power supply (220 volts, 50 cycles per second) ...

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

A

2.2 henry

B

0.22 henry

C

1.6 henry

D

0.16 henry

Answer

0.16 henry

Explanation

Solution

XL=2πvLL=XL2πv=502×3.14×50=0.16HX _ { L } = 2 \pi v L \Rightarrow L = \frac { X _ { L } } { 2 \pi v } = \frac { 50 } { 2 \times 3.14 \times 50 } = 0.16 \mathrm { H }