Free AC Through Resistor, Capacitor and Inductor MCQs with Answers

76 AC Through Resistor, Capacitor and Inductor MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Alternating current through a resistor, capacitor and inductor involves phase relationships between voltage and current, reactance, impedance and energy transfer. A resistor keeps voltage and current in phase, while a capacitor and inductor produce opposite phase shifts, a distinction used in circuit diagrams and numerical calculations.

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Easy
  • A. in phase with each other
  • B. 90 degrees out of phase, with current leading
  • C. 90 degrees out of phase, with current lagging
  • D. 180 degrees out of phase

Explanation: A resistor obeys Ohm's law at every instant, so the current peaks exactly when the voltage peaks and both pass through zero together.

Correct answer: in phase with each other
  • A. lags the voltage by 90 degrees
  • B. leads the voltage by 90 degrees
  • C. is in phase with the voltage
  • D. is zero

Explanation: A capacitor must charge before a voltage can appear across it, so the current is greatest when the voltage is momentarily zero and falls…

Correct answer: leads the voltage by 90 degrees
  • A. increases as the frequency increases
  • B. decreases as the frequency increases
  • C. is independent of frequency
  • D. is the same as resistance

Explanation: Reactance is one over 2 pi f C, so a capacitor passes high frequencies readily and blocks direct current entirely, since at zero frequency…

Correct answer: decreases as the frequency increases
  • A. 2 pi f L
  • B. 1 divided by 2 pi f L
  • C. L divided by 2 pi f
  • D. 2 pi f divided by L

Explanation: Reactance rises in proportion to frequency, so a coil that passes direct current almost freely offers a large opposition at high…

Correct answer: 2 pi f L
  • A. maximum
  • B. zero, because energy is stored and returned each quarter cycle
  • C. equal to VI
  • D. half of VI

Explanation: With a 90 degree phase difference the power is positive for one quarter cycle and equally negative for the next, so the net energy…

Correct answer: zero, because energy is stored and returned each quarter cycle
  • A. the impedance is maximum and the current minimum
  • B. the impedance is minimum and equal to the resistance, so the current is maximum
  • C. the current is zero
  • D. the capacitor and inductor can be removed without effect

Explanation: At resonance the inductive and capacitive reactances are equal and cancel, leaving only the resistance to oppose the current, so the…

Correct answer: the impedance is minimum and equal to the resistance, so the current is maximum
  • A. the ratio of peak to rms current
  • B. the cosine of the phase angle between current and voltage
  • C. the ratio of frequency to reactance
  • D. the product of voltage and current

Explanation: True power is V times I times cos theta, so the power factor measures how much of the apparent power is actually being converted to useful…

Correct answer: the cosine of the phase angle between current and voltage
  • A. is cheaper
  • B. limits the current without dissipating energy as heat
  • C. increases the voltage
  • D. converts AC to DC

Explanation: An inductor opposes the current through reactance rather than resistance, and because the current and voltage are a quarter cycle out of…

Correct answer: limits the current without dissipating energy as heat
  • A. reactance only
  • B. impedance
  • C. capacitance
  • D. inductance

Explanation: Impedance combines resistance and net reactance and is what relates the rms voltage to the rms current, being measured in ohms.

Correct answer: impedance
  • A. doubled
  • B. halved
  • C. unchanged
  • D. quadrupled

Explanation: Power is conserved in an ideal transformer, so if the voltage doubles the current must halve to keep the product the same.

Correct answer: halved
  • A. Affect in charging a capacitor
  • B. Affect in charging a battery
  • C. Affect while passing through an inductance
  • D. Heating effect through a resistance

Explanation: Both AC and DC produce thermal energy in a resistance, with the heating effect determined by power and, for AC, by the RMS current: P =…

Correct answer: Heating effect through a resistance
  • A. An analogue waveform
  • B. Continuous wave form
  • C. Electronic waveform
  • D. A digital waveform

Explanation: A rectangular voltage switches between discrete levels, commonly high and low, so it is classified as a digital waveform.

Correct answer: A digital waveform
  • A. constant
  • B. zero
  • C. changing
  • D. infinite

Explanation: For an oscillating charge, velocity changes continuously in magnitude and reverses direction as the charge moves to and fro, so it is not…

Correct answer: changing
  • A. Radio
  • B. Microwave oven
  • C. Both in radio and microwave oven
  • D. Neither in radio nor in a microwave oven

Explanation: A radio uses an LC tuning circuit in which inductive and capacitive reactances can become equal, producing electrical resonance and…

Correct answer: Radio
  • A. Its electric field
  • B. Its coils
  • C. Its magnetic field
  • D. Both electric and magnetic fields

Explanation: An inductor stores energy in the magnetic field produced by current through its coils.

Correct answer: Its magnetic field
  • A. IA. V = VR+VL+VC
  • B. V2 = VR2+VL2+VC2
  • C. V2 = VR2+(VL-VC)2
  • D. V2 = VL2+(VR-VC)2

Explanation: In a series LCR circuit, VR is in phase with the current, while VL and VC are 90° from it and opposite to each other.

Correct answer: V2 = VR2+(VL-VC)2
  • A. Zero
  • B. 45°
  • C. 90°
  • D. 180°

Explanation: For a pure resistance, the voltage and current rise and fall together, so their phase difference is 0°.

Correct answer: Zero
  • A. Peak values of voltage and current
  • B. Effective values of voltage and current
  • C. Instantaneous values of voltage and current
  • D. All of the above

Explanation: A resistor obeys v = iR at every instant, and the same proportionality also holds between peak values and between RMS values.

Correct answer: All of the above
  • A. 10mH
  • B. 12mH
  • C. 16mH
  • D. 20mH

Explanation: A voltage-current phase angle of 45° gives tan 45° = XL/R = 1, so XL = 100 ohms.

Correct answer: 16mH
  • A. 1Ω
  • B. 5Ω
  • C. 7Ω
  • D. 7Ω

Explanation: Resistance and inductive reactance are perpendicular components of impedance, so Z = √(R² + XL²) = √((4 ohms)² + (3 ohms)²) = √25 ohms² =…

Correct answer: 5Ω

AC Through Resistor, Capacitor and Inductor MCQs: common questions

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