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

NetherCraft 0

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?

2 Answers

  • 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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