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You have a 240-? resistor and a 0.370-H inductor. Suppose you take the resistor

ID: 1378950 • Letter: Y

Question

You have a 240-? resistor and a 0.370-H inductor. Suppose you take the resistor and inductor and make a series circuit with a voltage source that has a voltage amplitude of 33.0V and an angular frequency of 240rad/s .

Part A

What is the impedance of the circuit?

Part B

What is the current amplitude?

Part C

What is the voltage amplitude across the resistor?

Part D

What is the voltage amplitudes across the inductor?

Part E

What is the phase angle ? of the source voltage with respect to the current?

Part F

Does the source voltage lag or lead the current?

Part G

Construct the phasor diagram.

Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded.

Explanation / Answer

A) R = 240 ohm

Xl = jwL = j(240*.37) = j88.8 ohm

Impedance = R + jwL = 240 + j 88.8 ohm

Z = 255.9 /_30.3degree

B) I = V/Z = 33/255.9 = 0.129 A

C) Vr = 0.129*240 = 30.95 v

D) Vl = 0.129*88.8 = 11.4 v

E) 30.3 degree

F) lead

I = V/Z = 33 (0) /255.9(30.3) = 0.129 /_(-30.3degree) A


G) draw volage in horizental & draw current lag by 30.3 degree

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