Alternating Current with Peak Value

By Varadi Hema|Updated : July 26th, 2022

An alternating current with a peak value of 20√2 A is used to produce the required amount of heat across a resistor. What constant current is needed to produce the same amount of heat across the same resistance at the same time?

  1. 20√2 A
  2. 20 A
  3. 20/√2 A
  4. 40 A

Answer: B. 20 A

An alternating current with a peak value of 20√2 A is used to produce the required amount of heat across a resistor. The constant current needed to produce the same amount of heat across the same resistance at the same time is 20 A.

Solution:

An alternating current with a peak value of 20√2 A is used to produce the required amount of heat across a resistor.

The constant current is needed to produce the same amount of heat across the same resistance at the same time is equal to the R.M.S value of the given alternating current.

RMS current IRMS=peak value of the alternating current/√2=20√2/√2=20 A

Hence constant current is needed to produce the same amount of heat across the same resistance at the same time is 20 A.

Hence option B is the correct answer.

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