One `10V, 60W` bulb is to be connected to `100V` line. The required inductance coil has self-inductance of value `(f=50Hz)`

Options

A. 0.052 H
B. 2.42 H
C. 16.2 mH
D. 1.62 mH

Answer

A

Explanation

`R = (V_(R)^(2))/(P_(R))`
`V_(R)I_(R) = P_(R)`
`I_(R) = (P_(R))/(V_(R)) = (P_(S))/(Z) rArr Z = (100)/((60)/(10)) = (100)/(6)`
`sqrt(R^(2) + X_(L)^(2)) = ((100)/(6))^(2)`