Electrical Circuit Quizzes and Answer: Phasor Diagram.
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Course
Electrical Circuit
Institution
Electrical Circuit
There are 10 questions about variations regarding phasor diagram material in electrical circuits along with answers. Starting from time forms to case studies.
Electrical Circuit (Phasor Diagram) Quizzes and Answer
Arya Bagas
Department of Energy
Problem 1:
If the voltage 𝑉1 = 12 Cos (60t + 45°)V is applied to a 50 Micro Farad capacitor,
determine the current flowing through the capacitor?
Solution 1:
1. Determine the parameter:
𝑉1 = 12 Cos (60t + 45°)V; C = 50 Micro Farad; ω = 60t; V = 12∟45°
2. Calculate the ω with capacity of capacitor:
(50x10−6 ) . (60𝐽) = 0,003J
3. Polarize the J0,003:
4. Calculate the current:
I = V . JωC = (12∟45°) . (0,003∟90°) = 0,036∟135°A
5. Change to time form:
I(t) = 0,036 Cos (60t + 135°)
Problem 2:
If the source voltage Vs = 20 Sin (10t + 30º) V, is applied to a resistor with a
resistance of 4 Ohms and is placed in series with the inductor of 0.2 H. Determine
the voltage v(t) and current i(t) in the time domain, and prove that:
a. 8,944 sin (10t + 93,43) V
b. 4,472 Sin (10t + 3,43) A
Solution 2:
1. Determine the parameter:
V = 20∟30º ; ω = 10t ; Z = ?
2. Find Z value:
, Z = R + jωL = 4 + j10 . 0,2 = 4 + j2
3. Polarize the 4 + j2 value using r and θ:
5. Calculate the voltage:
V = I . jωL = (4,472∟3,43°) . (2∟90°) = 8,944∟93,43°V
6. Convert them into the time form:
I(t) = 4,472 Sin (10t + 3,43°)A
V(t) = 8,944 Sin (10t + 93,43°)V
Problem 3:
Prove that the capacitor voltage 𝑉0 (t) in the circuit below is 𝑉0 = 14.14 Cos (10t
- 35°)V, V= 20 Cos (10t + 100°).
Solution 3:
1. Determine the parameter:
1
V = 20 Cos (10t + 100°); ω = 10(t); C = 𝐹; V = 20∟100°;
20
3. Calculate 𝑍2 value and find 𝑍3 :
𝑍2 = jωL = j10 . 0,5 = j5 Ohm- and 𝑍3 = 10 Ohm
4. Calculate the total of impedance:
𝑍𝑇 = (𝑍2 ||𝑍3 ) + 𝑍1 = (j5||10) + (-j2) = 2 + j2
5. Polarize the total of impedance using r and θ:
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