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Physics 1 Problem Solutions 257

# Physics 1 Problem Solutions 257 - Chapt 33 Alternating...

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Chapt. 33 Alternating Current or AC 253 a) Draw a diagram. In the main circuit branch, there is a current I . In the resistor branch, there is a current I 1 . In the inductor branch, there is a current I 2 . In the capacitor branch, there is a current I 3 . The currents are considered unknowns in this problem. The other quantities are considered knowns. b) Solve for the resistor current I 1 in terms of the given knowns E 0 , ω , R , L , and C . No differentiation or integration symbols should remain in the formula for I 1 . What is the current amplitude and phase angle? HINT: Recall that if potential drop across a device is proportional to cos( ωt ), then the phase angle φ of the current is when current is expressed in terms of cos( ωt φ ). c) Solve for the inductor current I 2 in terms of the given knowns E 0 , ω , R , L , and C . No differentiation or integration symbols should remain in the formula for I 2 . What is the current amplitude and phase angle? HINT: Constants of integration vanish because one can assume that all currents time average to zero.
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