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MHT CET 202626 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
26 April
Shift
Morning Shift
Subject
Physics
Chapter
Alternating Current

MHT CET 2026 · 26 April · Morning Shift · Physics · Alternating Current

In an AC circuit, the current is I = 100 (5t) A. The value of I_...

In an AC circuit, the current is I=100sin⁡(5t)I = 100 \sin (5t) A. The value of IrmsI_{rms} is

Options

  1. Azero A
  2. B50250\sqrt{2} A
  3. C2525 A
  4. D25225\sqrt{2} A

Correct answer

B. 50250\sqrt{2} A

Step-by-step solution

The given alternating current is I=100sin⁡(5t)I = 100 \sin(5t) A.

The peak value of the current is I0=100I_0 = 100 A.

The root mean square (rms) value of the current is given by Irms=I02I_{rms} = \dfrac{I_0}{\sqrt{2}}.

Substituting the value of I0I_0:

Irms=1002=502I_{rms} = \dfrac{100}{\sqrt{2}} = 50\sqrt{2} A.

Answer: 50250\sqrt{2} A
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