A 120V, 60W lamp is to be operated on 220V ac supply mains. calculate the value of non inductive resistance that would be required to ensure that the lamp is run on correct value

A.

100Ω

B.

200Ω

C.

300Ω

D.

500Ω

Correct answer is B

Power of the lamp = 60W;  

\(I = {\frac{P}{V}}\)

\(I = {\frac{60}{120}}\) = \(0.5A\)

\(R = {\frac{V}{I}}\)

\(R_mains\) = \(\frac{220}{0.5}\) = \(440\Omega\)

\(R_lamp\) = \(\frac{120}{0.5}\) = \(240\Omega\)

\(\therefore\) The non-inductive resistance to keep the lamp = \((440 - 240)\Omega\)

= \(200\Omega\)