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The current in amperes, flowing through an ac (alternating current) circuit at t

ID: 2919895 • Letter: T

Question

The current in amperes, flowing through an ac (alternating current) circuit at time t, in seconds, is given below. What is the period? What is the amplitude? What is the phase shift? Graph this function over two periods l(t) = 120 sin|20xtTI, t20 What is the period? (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) What is the amplitude? (Simplify your answer. Type an exact answer, using 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 as needed. Use integers or fractions for any numbers in the expression.) Choose the correct graph below B. OC. 3/10 1/16 G 3/10 1/16 12 12 12 12 1/4 7/20 1/80 9/80 1/4 7/20 1/80 9/80

Explanation / Answer

l(t) = 120 sin ( 20 pi t - pi/4 )

period of the function is

2pi/ 20pi = 1/10

b) amplitude = 120

c) phase shift = c/b

= pi/4 / 20pi

= 1/80

d) option b graph is correct

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