Scribd
Upload
33 views3 pages

Tutorial 1 Question

This document outlines a tutorial for Electrical Principle II, focusing on sinusoids and phasors. It includes various problems related to AC electric circuits, such as expressing sinusoidal functions as cosine functions, analyzing phase angles, and calculating impedance and current in given circuits. The tutorial aims to enhance students' understanding and application of fundamental AC circuit laws and analysis methods.

Uploaded by

smytaa05
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
33 views3 pages

Tutorial 1 Question

This document outlines a tutorial for Electrical Principle II, focusing on sinusoids and phasors. It includes various problems related to AC electric circuits, such as expressing sinusoidal functions as cosine functions, analyzing phase angles, and calculating impedance and current in given circuits. The tutorial aims to enhance students' understanding and application of fundamental AC circuit laws and analysis methods.

Uploaded by

smytaa05
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 3

ELECTRICAL PRINCIPLE II (BNR10303)

Tutorial 1: Sinusoids and Phasors

CLO ATTAINMENT
CLO1 - Apply the fundamental laws and elements of AC electric circuits in circuit theory
analysis. (LOD1, PLO1, C3, SK2, SK3, SK4, SP1, SP2, SP3)
CLO2 - Analyze and solve AC electrical circuit problems using basic electrical laws and
method of analysis. (LOD2, PLO2, C4, SK2, SK3, SK4, SP1, SP2, SP3)

1. Express the following as cosine functions (C1) (3 Marks)


(a) 5 sin(2𝜋𝑡)

(b) 4.3 sin(𝜔𝑡 − 47𝑜 )

(c) 𝜋
2 sin (𝜔𝑡 − )
2

2. Given 𝑣1 = 20 𝑠𝑖𝑛(𝜔𝑡 + 60𝑜 ) and 𝑣2 = 60𝑐𝑜𝑠(𝜔𝑡 − 10𝑜 ). Determine (2 Marks)


the phase angle between two sinusoids and analyze lagging condition of
the sources. (C2)

3. Determine the steady state value of 𝑉𝑐 (𝑡) when 𝑖𝑐 (𝑡) = 5 sin(1000𝑡) 𝐴 (3 Marks)
for circuit shown in Figure 1(C3)

Figure 1
4. Calculate the instantaneous voltage across a 2𝜇𝐹capacitor when the (3 Marks)
current through it is 𝑖 = 4 sin(106 𝑡 + 25𝑜 )𝐴 (C3)

5. Determine the current I as shown in Figure 2, if 𝜔 = 10 𝑟𝑎𝑑/𝑠 (C4) (4 Marks)

Figure 2
Solution:

6. Determine 𝐼𝑜 in the circuit shown in Figure 3 (C4) (9 Marks)

Figure 3

7. Calculate the value of impedance 𝑍𝑎𝑏 in the network shown in Figure 4 (9 Marks)
(C4)

Figure 4
8. By referring to the Figure 5 (you may refer to Example 9.13 in the text
book)

Figure 5
(a) Calculate the phase shift (output with respect to the input) of the (9 Marks)
circuit if 𝑉𝑖 = 1∠0𝑜 (C4)

(b) State whether the phase shift is leading or lagging (C3) (1 Mark)

(c) Determine the magnitude of the output when the input is 120V (2 Marks)
(C2)

9. The circuit shown in Figure 6 is used to make a simple low-pass filter. (7 Marks)
An important part of choosing the appropriate value of C is to determine
the highest frequency to be passed and then choose a value of C such that
the output voltage is 1/√2 times the magnitude of the input at that
frequency. Determine the value of C to make a low pass filter for
frequencies from 0 Hz to 1000 Hz? (C4)

Figure 6

10. The circuit in Figure 7 is used in the television receiver. Determine the (3 Marks)
total impedance of this circuit. (C4)

Figure 7

You might also like