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Find v(1) and i(t) in the circuit shown in

Find v(1) and i(t) in the circuit shown in

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Find v(1) and i(t) in the circuit shown in olution: on the voltage source 10 cos 4r, w = 4. V. = 10/0°V impedance is Z=5+ ence the current jwC V = IZC + 10/0° Z 5 - j2.5 = 1.6 + j0.8 = he voltage across the capacitor is I jwC 1 j4 x 0.1 E 1.789/26.57° j4 x 0.1 1.789/26.57° 0.4/90° and 10(5 + £2.5) 5² +2.5² 1.789/26.57° A 5-j2.50 nverting I and V in Eqs. i(t) 1.789 cos(41+ 26.57°) A u(t) = 4.47 cos(41- 63.43°) V 4-10 cos 4r ice that i(t) leads vir) by 90° as expected. 4.47/-63.43° V to the time domain, we get a prime video X 502 ww 0.1 F + 8
Transcribed Image Text:Find v(1) and i(t) in the circuit shown in olution: on the voltage source 10 cos 4r, w = 4. V. = 10/0°V impedance is Z=5+ ence the current jwC V = IZC + 10/0° Z 5 - j2.5 = 1.6 + j0.8 = he voltage across the capacitor is I jwC 1 j4 x 0.1 E 1.789/26.57° j4 x 0.1 1.789/26.57° 0.4/90° and 10(5 + £2.5) 5² +2.5² 1.789/26.57° A 5-j2.50 nverting I and V in Eqs. i(t) 1.789 cos(41+ 26.57°) A u(t) = 4.47 cos(41- 63.43°) V 4-10 cos 4r ice that i(t) leads vir) by 90° as expected. 4.47/-63.43° V to the time domain, we get a prime video X 502 ww 0.1 F + 8
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