# What is the phase angle for the source voltage relative to the current?

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A capacitor is connected across an ac source that has voltage amplitude 58.0 V and frequency 75.5 Hz.

Part A: What is the phase angle for the source voltage relative to the current?

Part B: Does the source voltage lag or lead the current?

Part C: What is the capacitance C of the capacitor if the current amplitude is 5.55 A?

• A) -90 degrees

B) lag

C) V=IZ Z= -j/wC

``  V=I ( -j/wC)``

c= I/Vw

C= 5.55/( 58 x 2 x pi x 75.5)

a way to remember the phase difference in capacitors and inductors is the phrase : ELI the ICE man

E(voltage) L(inductor) I(current ) voltage is before current (leads current in an inductor)

I(current) C(capacitance) E(voltage ) current is before voltage (leads voltage in a capacitor

• a,b) If the series resistance in the circuit is negligeable, the voltage lags the current by 90deg.

c) I = VB = VC2pi*f where B is the susceptance of the cap (reciprocal of reactance; B = 1/X)

C = I/(V*2*pi*f) = 302.7uF

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