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A 46F capacitor is connected to a signal generator at 7 volts maximum, 25 Hz fre

ID: 1444431 • Letter: A

Question

A 46F capacitor is connected to a signal generator at 7 volts maximum, 25 Hz frequency.

1. The phase angle between the current and voltage across the capacitor is (approximately):

2. And the current  --- (leads) (is out of random phase with) (lags behind) (is in phase with) the voltage.

3.The magnitude of the maximum current in the circuit is

4.If the generator frequency is increased the maximum current  -------- and the phase shift between the current and the voltage across the capacitor  -------

5. If another capacitor of the same value is added to the circuit in parallel to the original capacitor, the maximum current through the circuit will

a. increase by X 2

b. increase because the current in second resistor will be slightly out of phase with the current through the first capacitor     

c. decrease because the current in second capacitor will be out of phase with the current through the first resistor

d. not change because AC current will not branch into second capacitor

e. decrease by X 2

f. not change because the current in second capacitor will be /2 out of phase with the current through the first capacitor

Explanation / Answer

1) 90 degrees

2) leads

3) reactance XC =1/wC

XC = 1/(2*3.14*25*46*10^-6)

XC = 138.5 ohms

V =iR

i = 7/138.5 = 0.051 A

4) increased, 90 degrees

5) C =C1+C2 = 2C1

XC new = XC/2

inew = 2i

Correct option is (a)

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