Question

The resistance of a 230 V, 100 W lamp is ____________

(a) 529 Ω

(b) 2300 Ω

(c) 5290 Ω

(d) 23 Ω

I have been asked this question in an international level competition.

My question is from Advanced Problems on Application of Laplace Transform in portion Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Right option is (a) 529 Ω

For explanation: P = \(\frac{V^2}{R}\)

Or, R = \(\frac{V^2}{P}\)

Or, R = \(\frac{230 X 230}{100}\)

= 529 Ω.