Physics Exam  >  Physics Questions  >  The conductor in a .75 km long two wire condu... Start Learning for Free
The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is?
Most Upvoted Answer
The conductor in a .75 km long two wire conduction line are seperated ...
Calculation of Capacitance in a Two-Wire Conduction Line

Given:
- Length of the conduction line (L) = 0.75 km = 750 m
- Center-to-center distance between the conductors (d) = 0.2 m
- Diameter of each conductor (D) = 4 cm = 0.04 m

Step 1: Calculating the Radius of the Conductor
The radius (r) of the conductor can be calculated using the formula:
r = D/2 = 0.04 m / 2 = 0.02 m

Step 2: Calculating the Permittivity of Free Space
The permittivity of free space (ε₀) is a physical constant and is given by:
ε₀ = 8.854 x 10^(-12) F/m

Step 3: Calculating the Capacitance per Unit Length
The capacitance per unit length (C') of the two-wire conduction line can be calculated using the formula:
C' = (πε₀) / ln(d/r)

Using the given values, we can substitute them into the formula:
C' = (π x 8.854 x 10^(-12) F/m) / ln(0.2 m / 0.02 m)

Step 4: Calculating the Total Capacitance
The total capacitance (C) of the two-wire conduction line can be calculated by multiplying the capacitance per unit length (C') by the length of the line (L):
C = C' x L

Substituting the values, we get:
C = (C' x 750 m)

Step 5: Evaluating the Capacitance
Evaluate the expression for C to find the capacitance of the two-wire conduction line.

Final Answer:
The capacitance of the two-wire conduction line is equal to the evaluated value of C.

Explanation:
The capacitance of a two-wire conduction line can be calculated using the formula C' = (πε₀) / ln(d/r), where C' is the capacitance per unit length, ε₀ is the permittivity of free space, d is the center-to-center distance between the conductors, and r is the radius of the conductor. By substituting the given values into the formula, we can calculate C'. Multiplying C' by the length of the line gives us the total capacitance, C. Finally, evaluating the expression for C yields the capacitance of the two-wire conduction line.
Explore Courses for Physics exam

Similar Physics Doubts

The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is?
Question Description
The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is?.
Solutions for The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is? in English & in Hindi are available as part of our courses for Physics. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is? defined & explained in the simplest way possible. Besides giving the explanation of The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is?, a detailed solution for The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is? has been provided alongside types of The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is? theory, EduRev gives you an ample number of questions to practice The conductor in a .75 km long two wire conduction line are seperated by a centre to centre distance of 0.2 m. If each conductor has a diameter of 4cm then the capacitance of the line is? tests, examples and also practice Physics tests.
Explore Courses for Physics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev