The current through a resistor in an a.c circuit is given as 2 sin wt….

The current through a resistor in an a.c circuit is given as 2 sin wt. Determine the d.c. equivalent of the current
  • A.
    A/√2
  • B.
    2/√A
  • C.
    2 A
  • D.
    √2 A
Correct Answer: Option B
Explanation

If I = 2 Sin wt; but in a.c. circuit current I = I0 Sin wt; thus comparing the two equations, it implies that I0 = 2A; Again, the root means square (I(rms)) of an a.c. current is the value of the d.c. current that will dissipate the same amount of heat in a given resistance as the a.c.
and I(rms) = I0/√2 = 2.0A/√2

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