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When an alternating current given by I 10sin 12... - JAMB Physics 2003 Question

When an alternating current given by I = 10sin (120π)t passes through a 12Ω resistor, the power dissipated in the resistor is
A
1200W
B
600W
C
120W
D
30W
correct option: a
An a.c current is usually expressed as I = Io sin wt; and comparing this with the given current I = 10sin (120π)t, => Io = 10.
and power in an a.c circuit is given as:
P = I2R
= (102 x 12)
= 1200W
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