31.5 A 5.06 H inductor with negligible resistance is connected across an ac sour

Question

31.5

A 5.06 H inductor with negligible resistance is connected across an ac source whose voltage amplitude is kept constant at 63.0 V but whose frequency can be varied.

Part A

Find the current amplitude when the angular frequency is 92.0 rad/s .

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Part B

Find the current amplitude when the angular frequency is 1100 rad/s .

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Part C

Find the current amplitude when the angular frequency is 9300.0 rad/s .

31.5

A 5.06 H inductor with negligible resistance is connected across an ac source whose voltage amplitude is kept constant at 63.0 V but whose frequency can be varied.

Part A

Find the current amplitude when the angular frequency is 92.0 rad/s .

I=   A  

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Part B

Find the current amplitude when the angular frequency is 1100 rad/s .

I=   A  

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Part C

Find the current amplitude when the angular frequency is 9300.0 rad/s .

I=   A

Explanation / Answer

A)w = 92 rad/s

XL = wL = 92 x 5.06 = 465.52 Ohm

I = V/Z = 63/465.52 = 0.135 A

Hence, I = 0.135 A

B)w = 1100 rad/s

XL = wL = 1100 x 5.06 = 5566 Ohm

I = 63/5566 = 0.0113 A

Hence, I = 0.0113 A

C)XL = 9300 x 5.06 = 47058 Ohm

I = 63/47058 = 0.00134 A

Hence, I = 0.00134 A

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