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

Showing 1–10 of 26 questions

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

  A rectangular periodic current has a value of 10 A for one-fourth of each cycle and is zero for the remaining three-fourths. Determine its RMS value in ampere.

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

  An alternating current is represented by i = I₀(sinωt + cosωt). What is the RMS value of this current over a complete cycle?

  Options

  • Option A

    I₀/√2

  • Option B

    I₀

  • Option C

    √2 I₀

  • Option D

    2I₀

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

  A periodic current is described by i = I₀(1 + sinωt). Which of the following statements are correct when the current is observed over one complete cycle?

  Select all that apply

  • Option A

    The average current is I₀

  • Option B

    The RMS current is I₀√(3/2)

  • Option C

    The current never becomes negative

  • Option D

    The RMS current is equal to the average current

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

  A current i = 4 + 3√2 sinωt A flows through a 2 Ω resistor. Select all correct statements regarding the current and power dissipation.

  Select all that apply

  • Option A

    The average current is 4 A

  • Option B

    The RMS current is 5 A

  • Option C

    The average power dissipated is 50 W

  • Option D

    The sinusoidal component alone dissipates an average power of 18 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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• 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.

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

  A 20 Ω resistor carries the current i = 2 + 3√2 sinωt A. Calculate the average power dissipated in the resistor in watt.

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

  Match each periodic current in List 1 with its RMS value in List 2 and choose the correct option.

  List 1

  1. i = I₀ sinωt

  2. i = I₀ sin²ωt

  3. i = I₀ at all times

  4. i = I₀ for T/4 and zero for 3T/4

  List 2

  1. I₀/√2

  2. I₀√(3/8)

  3. I₀

  4. I₀/2

  Options

  • Option A

    P-1, Q-2, R-3, S-4

  • Option B

    P-2, Q-3, R-4, S-1

  • Option C

    P-3, Q-4, R-1, S-2

  • Option D

    P-4, Q-1, R-2, S-3

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