The current I, in amperes, flowing through an ac (alternating current) circuit a

Question

The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in seconds, is given below. What is the period? What is amplitude? What is the phase shift? Graph this function over two periods. (t) = 120 sin (30 pi t - pi/2), t greaterthanorequalto 0 What is the period? (simply your answer. Type an exact answer, using pi as needed. Use integers or fractions for numbers in the) What is the amplitude? (Simplify your answer. Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.) What is the phase shift? (Simplify your answer. Type an exact answer, using pi as needed. Use integers or fractions in the expression)

Explanation / Answer

Solution:

I = 120sin(30pi t - pi/2)

Period = 2*pi/(30*pi) = 1/15

Amplitude = 120

For Phase shift;

I = 120sin(30pi t - pi/2)

I = 120sin(30pi(t - 1/60))

So Phase shift = 1/60

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