Q1:a) Discuss the effect of earth on the capacitance of a line :b) Derive in expression for the capacitance to neutral per phase per Km of a single phase overhead transmission line, taking into account the effect of earth.c) Derive in expression for the capacitance to neutral per phase per Km of a 3- phase overhead transmission line when conductors are of equilateral spacing.

Question
Asked Apr 28, 2019
770 views

Q1:

a) Discuss the effect of earth on the capacitance of a line :

b) Derive in expression for the capacitance to neutral per phase per Km of a single phase overhead transmission line, taking into account the effect of earth.

c) Derive in expression for the capacitance to neutral per phase per Km of a 3- phase overhead transmission line when conductors are of equilateral spacing.

check_circle

Expert Answer

Step 1

(a) The earth can be considered as a conducting infinite equipotential plane. The electric flux lines of the conductors are forced to cut the surface of the earth orthogonally. And the positive charge on the conductor will induce negative charge on the earth surface. To show this effect, we can assume the presence of an imaginary conductor of opposite charge of the actual conductor, below the surface of the earth at a depth equal to the height of the actual conductor above the surface of the earth. Thus, for the calculation of capacitance, the earth can be replaced by a fictitious charged conductor and this imaginary conductor is called the image of the actual conductor.

fullscreen
Step 2

(b) Let us say that the conductors a and b constitute the transmission line and the conductors a′ and b′ their corresponding images as shown below. The derivation of the expression for the capacitance to neutral per phase per Km of a single-phase overhead transmission line, considering the effect of earth is shown below:

fullscreen
Step 3

(c) The derivation is...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Electrical Engineering

Related Electrical Engineering Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: please help me with the question 8M

A: We can start with the truth table for input. The ASCII code corresponding to each letter from A to J...

question_answer

Q: In the following circuit, use either differential equation approach or the step by step method to fi...

A: Figure 1 shows the modified circuit when t < 0.

question_answer

Q: For the circuit below, use superposition to find i. Calculate the power delivered to the 3-Ω resisto...

A: According to superposition theorem, the total current across any element due to all the sources is e...

question_answer

Q: .il Verizon LTE 7:42 PM 100%- Done 2- In the following circuit find ve) and i(t) given; y(1)-240 V ,...

A: We have been given with below values: -v1(t) = 240V, v2(t) = 120V, L=1H, C = (1/16) F and R=2 Ohm fo...

question_answer

Q: 2Ω 4Ω 1H3%(t)に0 - 2A

A: When t < 0, the inductor acts as a short circuit. Let us say that current through the inductor is...

question_answer

Q: 15.3 Determine the erection sag and tension of a transmission line at 65°C in still air. The line ha...

A: It is given that:

question_answer

Q: At which times will Q be high? clk A) T1, T2, T3, T4 B) T2, T5 C)ll times C) D) T1 , T3, T4 Ti T23T4...

A: 1) JK flip flop truth table is given as:JKQ+00Q(no change)01010111Q’

question_answer

Q: Problem 2 question 2

A: In this problem, It is said that the value of R1, R2 and C should be physically realistic value such...

question_answer

Q: In the following circuit, use two different methods (Nodal Analysis, Mesh Analysis, or using Theveni...

A: Let us find the Nortons's Current (Isc) :