1. For the circuit in Figure 1: a) What is the RMS-value, zero-phase angle and frequency of voltage source e(t)? b) What is the total impedance of the circuit? c) Calculate frequency domain voltage Uc and current lot. (present solution in po- lar form x 2 yº). d) Calculate time domain voltage uc(t) and current itot(t) (present solution as sine- wave function of time) ) = 170 sin (100πt + 25° ) V, R₁ = 10 £2, C = 15 μF swers: Ztor=212.4 £ z -87.3°, Itot = 0.57 A ≤ 112.3°, itot(t) = 0.8 sin(100nt + 112.3°)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.3P: The instantaneous voltage across a circuit element is v(t)=400sin(t+30)volts, and the instantaneous...
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1. For the circuit in Figure 1:
a) What is the RMS-value, zero-phase angle and frequency of voltage source e(t)?
b) What is the total impedance of the circuit?
c) Calculate frequency domain voltage Uc and current tot. (present solution in po-
lar form x < yº).
d) Calculate time domain voltage uc(t) and current itot(t) (present solution as sine-
wave function of time)
e(t): = 170 sin (100πt +25°) V, R₁ = 102, C = 15 μF
Answers: Ztot 212.4 22-87.3°, Itot = 0.57 A 112.3°, itot(t) = 0.8 sin(100πt + 112.3°)
Transcribed Image Text:1. For the circuit in Figure 1: a) What is the RMS-value, zero-phase angle and frequency of voltage source e(t)? b) What is the total impedance of the circuit? c) Calculate frequency domain voltage Uc and current tot. (present solution in po- lar form x < yº). d) Calculate time domain voltage uc(t) and current itot(t) (present solution as sine- wave function of time) e(t): = 170 sin (100πt +25°) V, R₁ = 102, C = 15 μF Answers: Ztot 212.4 22-87.3°, Itot = 0.57 A 112.3°, itot(t) = 0.8 sin(100πt + 112.3°)
Calculate value of voltage e(t) and current itot(t) when t = 1s.
Extra points can be earned by solving this question, however it is not mandatory.
e(t)
Figure 1.
U
tot
R
U₁
с
HH
U₁
Transcribed Image Text:Calculate value of voltage e(t) and current itot(t) when t = 1s. Extra points can be earned by solving this question, however it is not mandatory. e(t) Figure 1. U tot R U₁ с HH U₁
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