The voltage across a 72 H inductor is described by the equation v L =(25 V) cos(

Question

The voltage across a 72 H inductor is described by the equation vL =(25 V) cos(60t), where t is in seconds.

Part A

What is the voltage across the inductor at t =0.10 s?

Express your answer to two significant figures and include the appropriate units.

V=___V

Part B

What is the inductive reactance?

Express your answer to two significant figures and include the appropriate units.

XL=__ omega

Part C

What is the peak current?

Express your answer to two significant figures and include the appropriate units.

I=___A

Explanation / Answer

let,

L=72uH

W=60 rad/sec

a)

VL=25*cos(60*t)

at t=0.1 sec

VL=25*cos(60*0.1)

VL=24.86 V

b)

XL=W*L

=60*72*10^-6

=4.32*10^-3 ohms

c)

I_max=V_max/XL

=25/(4.32*10^-3)

=5787.04 A

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