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Chapter 6: Q. 88 (page 411)

Alternating Current (ac) Circuits The current I, in amperes, flowing through an ac (alternating current) circuit at time t in seconds, is

I(t)=120sin(30蟺t)t鈮�0

What is the period? What is the amplitude? Graph this function over two periods.

Short Answer

Expert verified

Period and amplitude of the given function T=115andA=120respectively

Graph of the given function

Step by step solution

01

Step 1.Given information

The given functionI(t)=120sin(30蟺迟)

02

Step 2.Find the period and amplitude of the given function

For the given current function I(t)=120sin(30蟺迟), we can find the amplitude and period by comparing it with y=Asin(蝇t)So, A=120and蝇=120蟺 and hence we can find the period

T=2蟺蝇=2蟺30蟺=115

Thereforerole="math" localid="1646391797078" T=115andA=120

03

Step 3.Plot the graph by using period and amplitude


The required graph of the given function

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