A thin wire, carrying a positive and uniform linear charge density λ, is bent into a quarter-circle with a radius R, as shown in the figure. (a) Derive the electric potential at the center of the circle. (b) USE the result in part (a), calculate the electric field at the center. (c) If the line is not thin, but has a finite width w (as shown in the second diagram), what would the electric potential at the center be? (d) Derive the electric field of this thick quarter-circle at the center, assuming the charge density is still uniform. 0 y R 20 X R b
A thin wire, carrying a positive and uniform linear charge density λ, is bent into a quarter-circle with a radius R, as shown in the figure. (a) Derive the electric potential at the center of the circle. (b) USE the result in part (a), calculate the electric field at the center. (c) If the line is not thin, but has a finite width w (as shown in the second diagram), what would the electric potential at the center be? (d) Derive the electric field of this thick quarter-circle at the center, assuming the charge density is still uniform. 0 y R 20 X R b
Related questions
Question
Plz solve this question completely within 30 minutes I have to submit it thanks, will give you positive feedback and upvote
Transcribed Image Text:A thin wire, carrying a positive and uniform linear
charge density λ, is bent into a quarter-circle with a
radius R, as shown in the figure. (a) Derive the electric
potential at the center of the circle. (b) USE the result
in part (a), calculate the electric field at the center. (c)
If the line is not thin, but has a finite width w (as
shown in the second diagram), what would the electric
potential at the center be? (d) Derive the electric field
of this thick quarter-circle at the center, assuming the
charge density is still uniform.
0
y
R
20
X
R
b
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
