Calculate the resistance of the filament of a lamp rates 240 V, 40 W

Answer Details

The power (P) of the lamp is given as 40 W and the voltage (V) is given as 240 V. Using Ohm's Law, we can calculate the resistance (R) of the filament of the lamp. Ohm's Law states that V = IR, where V is the voltage, I is the current, and R is the resistance. Using the formula for power, we know that P = IV. Substituting Ohm's Law into this equation gives P = (V^{2}/R). Rearranging this formula gives R = V^{2}/P. Substituting the given values gives R = (240^{2}/40) = 1440 Ω. Therefore, the resistance of the filament of the lamp is 1440 Ω. Answer: 1440Ω