v(t)=83cos(10t) V, R = 40 Ohm, C = 0,007 F, L = 5 H . a) Calculate impedances for the resistor, capacitor, and inductor in the circuit. b) Calculate the equivalent impedances (Z_eq) for the circuit. c) Find the amplitude of i(t) current (Im).
v(t)=83cos(10t) V, R = 40 Ohm, C = 0,007 F, L = 5 H . a) Calculate impedances for the resistor, capacitor, and inductor in the circuit. b) Calculate the equivalent impedances (Z_eq) for the circuit. c) Find the amplitude of i(t) current (Im).
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
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.21P
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Question
v(t)=83cos(10t) V, R = 40 Ohm, C = 0,007 F, L = 5 H .
a) Calculate impedances for the resistor, capacitor, and inductor in the circuit.
b) Calculate the equivalent impedances (Z_eq) for the circuit.
c) Find the amplitude of i(t) current (Im).
d) Find the amplitude of Vo voltage.
e) Phase difference (phi) between voltage source v(t) and the current i(t).
Select the correct answers for each question below.
a.
Z_eq=83,00+j50,00 Ohm
b.
Vo=83,03 V
c.
Phi=41,76 Degree
d.
Im=0,00 A
e.
Z_eq=5,00+j49,98 Ohm
f.
Vo=0,01 V
g.
Z_eq=83,00+j50,00 Ohm
h.
Im=1,55 A
i.
Vo=4,98 V
j.
Im=0,77 A
k.
Vo=77,39 V
l.
Im=2,32 A
m.
Z_res=40,00 Ohm, Z_inductor=j0,07 Ohm, Z_cap=-j14,29 Ohm
n.
Phi=20,88 Degree
o.
Z_eq=40,00+j35,71 Ohm
p.
Z_res=40,00 Ohm, Z_inductor=j830,00 Ohm, Z_cap=-j0,00 Ohm
q.
Phi=29,23 Degree
r.
Phi=62,64 Degree
s.
Z_res=40,00 Ohm, Z_inductor=j50,00 Ohm, Z_cap=-j14,29 Ohm
t.
Z_res=83,00 Ohm, Z_inductor=j50,00 Ohm, Z_cap=-j14,29 Ohm
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