pacitor is connected to an AC source. If the maximum current in the circuit is 0.460 A and the voltage from the AC source is given by  Δv = (87.4 V) sin[(82?)s−1t]

University Physics Volume 2
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Chapter15: Alternating-current Circuits
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Problem 50AP: A 700-pF capacitor is connected across an ac source with a voltage amplitude of 160 V and a...
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A capacitor is connected to an AC source. If the maximum current in the circuit is 0.460 A and the voltage from the AC source is given by 
Δv = (87.4 V) sin[(82?)s−1t], determine the following.
 
A capacitor is connected to an AC source. If the maximum current in the circuit is 0.460 A and the voltage from the AC source is given by Av = (87.4 V) sin[(82x)st], determine the following.
(a) the rms voltage (in V) of the source
61.79
V
(b) the frequency (in Hz) of the source
41
V Hz
(c) the capacitance (in µF) of the capacitor
How is the capacitive reactance related to the capacitance and frequency? How is the capacitive reactance related to the maximum current and voltage? See if you can combine these two
relationships to determine an expression for the capacitance in terms of known information. µF
Transcribed Image Text:A capacitor is connected to an AC source. If the maximum current in the circuit is 0.460 A and the voltage from the AC source is given by Av = (87.4 V) sin[(82x)st], determine the following. (a) the rms voltage (in V) of the source 61.79 V (b) the frequency (in Hz) of the source 41 V Hz (c) the capacitance (in µF) of the capacitor How is the capacitive reactance related to the capacitance and frequency? How is the capacitive reactance related to the maximum current and voltage? See if you can combine these two relationships to determine an expression for the capacitance in terms of known information. µF
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