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An alternating current in a circuit is given by I = 20 sin (100πt + 0.05π) A. The r.m.s. value and the frequency of current respectively are
  • a)
    10A & 100 Hz
  • b)
    10A & 50 Hz
  • c)
    10 2 A & 50Hz
  • d)
    10 2 A & 100 Hz
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An alternating current in a circuit is given by I = 20 sin (100πt +...
 I = 20sin (100 πt + 0.05π)
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Most Upvoted Answer
An alternating current in a circuit is given by I = 20 sin (100πt +...
T + π/4), where I is the current in amperes and t is the time in seconds.

The amplitude of the current is 20 amperes (the coefficient of sin).

The frequency of the current is 100 Hz (the coefficient of t in the argument of sin).

The phase angle of the current is π/4 radians (the constant term in the argument of sin).

The current is alternating because it varies sinusoidally with time.
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