Question Detail

PHY 102 Test Compilation PHY 102 14 Objective Question

Question

Which of the following is true for an A.C. circuit?
Options
A All elements in the circuit dissipate power.
B Reactive elements only are associated with apparent power.
C Power is dependent on impedance.
Correct Answer
D The power factor of a purely resistive element is zero.
Correct Answer

Option C is the correct answer.

Detailed Explanation

In an A.C. circuit:- Resistors dissipate real power, but inductors and capacitors (reactive elements) do not dissipate average real power; they store and release energy. So, A is false.- Apparent power (S) is the total power delivered to a circuit, comprising both real power (P) and reactive power (Q). Both resistive and reactive elements contribute to apparent power. So, B is false.- Real power (P) in an AC circuit is given by P = V_rms * I_rms * cos(φ), where φ is the phase angle. This can also be expressed in terms of the real part of the impedance (resistance, R) as P = I_rms² * R. Since impedance Z = R + jX, power is indeed dependent on the impedance (specifically its resistive component). So, C is true.- The power factor (cos(φ)) for a purely resistive element is 1 (since φ=0°), not zero. For a purely reactive element, the power factor is zero. So, D is false.

Hint

Recall the definitions of real power, reactive power, apparent power, and power factor in AC circuits.

Question Info