Average Value, RMS Value, Power and AC Instruments questions with solutions

Showing 1–10 of 26 questions

• Multi-correctmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  Across an ideal two-terminal element, v = V₀ sinωt and i = I₀ cosωt. Which statements are correct?

  Select all that apply

  • Option A

    The average power is zero

  • Option B

    The instantaneous power varies with angular frequency 2ω

  • Option C

    The maximum magnitude of instantaneous power is V₀I₀/2

  • Option D

    The element may be an ideal capacitor

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• MCQmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  A hot-wire ammeter indicates 5 A when the current through it is i = I₀ sin²ωt. Assuming the instrument responds to the heating effect, determine I₀.

  Options

  • Option A

    5√2 A

  • Option B

    10/√3 A

  • Option C

    10√(2/3) A

  • Option D

    10 A

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• MCQeasyAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  The voltage and current across an AC load are v = 100√2 sinωt V and i = 5√2 sin(ωt - 60°) A. Find the average power absorbed by the load.

  Options

  • Option A

    0 W

  • Option B

    125 W

  • Option C

    250 W

  • Option D

    500 W

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• MCQmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  A voltage v = 200 sinωt + 100 sin3ωt V is applied across a 10 Ω resistor. Determine the average power dissipated in the resistor.

  Options

  • Option A

    1000 W

  • Option B

    2000 W

  • Option C

    2500 W

  • Option D

    5000 W

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• MCQmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  The instantaneous current through a resistor is given by i = 6 + 8 sinωt A. Determine the RMS value of the current over one complete cycle.

  Options

  • Option A

    2√17 A

  • Option B

    10 A

  • Option C

    6√2 A

  • Option D

    14 A

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• MCQmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  A current i = 5 sinωt + 12 cosωt A flows through a resistor. What is the RMS value of the current?

  Options

  • Option A

    13/√2 A

  • Option B

    17/√2 A

  • Option C

    13 A

  • Option D

    √119 A

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• NumericmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  A 50 Ω resistor is connected to a voltage v = 100 + 100√2 sinωt V. Determine the average power dissipated in the resistor in watt.

  Your answer

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• MCQmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  During each period T, a current remains +6 A for a time T/3 and -3 A for the remaining 2T/3. Find its average value and RMS value.

  Options

  • Option A

    0 A and 3√2 A

  • Option B

    0 A and 3√3 A

  • Option C

    2 A and 3√2 A

  • Option D

    0 A and 6 A

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• MCQmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  The current in a circuit varies with time as i = I₀ sin²ωt. Calculate its RMS value over one complete period.

  Options

  • Option A

    I₀/2

  • Option B

    I₀/√2

  • Option C

    I₀√(3/8)

  • Option D

    √3 I₀/2

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• A/RmediumAC CircuitsAverage Value, RMS Value, Power and AC Instruments

  Read the following assertion and reason and choose the correct option.

  Assertion

  Assertion (A): A hot-wire instrument can measure both alternating current and direct current.

  Reason

  Reason (R): Its deflection depends on the heating effect produced by the current, which is proportional to the mean value of i².

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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