An AC voltage source of variable angular frequency and fixed amplitude V ₀ is connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When is decreased

Step-by-step solution

The impedance Z of an RC series circuit is given by Z = R^2 + X_C^2 , where X_C = 1 C is the capacitive reactance. When the angular frequency is decreased, the capacitive reactance X_C = 1 C increases. Since Z = R^2 + ( 1 C )^2 , an increase in X_C leads to an increase in the total impedance Z of the circuit. The current I in the circuit is given by I = V₀ Z . As Z increases, the current I decreases. The power dissipated by the bulb is P = I^2 R . Since the current I decreases, the power dissipated by the bulb decr