Decide whether each of these statements is True (T) or False
An alternating current i varies with time t and its variation is described by the equation i = 2 sin 500t.
(i) The average current over a cycle is 2 A.
(ii) The root-mean-square current is 1.41 A.
A) (i) T (ii) T
B) (i) T (ii) F
C) (i) F (ii) T
D) (i) F (ii) F

Question

Quizplus · Accepted Answer

(i) The average current over a cycle of an alternating current is 0 A, not 2 A. (ii) The root-mean-square (RMS) current of an AC current i = I_max sin(ωt) is I_max/√2. Given I_max = 2 A, the RMS current is 2/√2 = 1.41 A.

Decide Whether Each of These Statements Is True (T) or False