14 R. A thin semiring has a non-uniform linear charge density given by A= X(e) = A- cos(8) where A is a constant. You would like to compute the electric field E at the center of the semiring. Each electric field component can be written as an integral over the 0 variable, which is defined on the figure, where the integral looks like E - f:(0)de for an appropriate integrand f(0) and integration limits OLone and Origh A different integrand f,(0) has to be used for Ey. In this problem, you will find both integrands. (But, you will not be asked to integrate these.) (a) Write the integration limits. (Note: 0iou < Onigh) (Note: In this semester, I will never ask you to write units in the boxes. I will specify the units on the right side of the baxes.) rad Ohigh= rad (b) Find the integrand functions for both components in terms of 0, A Rand en Coding note: 0=theta, eg =epsilono. f.(0) f,(0) Check

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 73P: Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73....
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R.
A thin semiring has a non-uniform linear charge density given by A= X(e) = A- cos(0) where A is a constant. You would like to compute the electric field E at the center of the semiring. Each
electric field component can be written as an integral over the 0 variable, which is defined on the figure, where the integral looks like
E, = S f2(0)de
for an appropriate integrand f,(0) and integration limits Otone and Onigh A different integrand f,(0) has to be used for E,. In this problem, you will find both integrands. (But, you will not be
asked to integrate these.)
(a) Write the integration limits. (Note: Oiou < Onigh)
(Note: In this semester, I will never ask you to write units in the boxes. I will specify the units on the right side of the boxes.)
rad
Ohsoh =
rad
(b) Find the integrand functions for both components in terms of 0, A Rand en-
Coding note: 0=theta, eg =epsilon0.
f.(0)
f,(0)
Check
Transcribed Image Text:R. A thin semiring has a non-uniform linear charge density given by A= X(e) = A- cos(0) where A is a constant. You would like to compute the electric field E at the center of the semiring. Each electric field component can be written as an integral over the 0 variable, which is defined on the figure, where the integral looks like E, = S f2(0)de for an appropriate integrand f,(0) and integration limits Otone and Onigh A different integrand f,(0) has to be used for E,. In this problem, you will find both integrands. (But, you will not be asked to integrate these.) (a) Write the integration limits. (Note: Oiou < Onigh) (Note: In this semester, I will never ask you to write units in the boxes. I will specify the units on the right side of the boxes.) rad Ohsoh = rad (b) Find the integrand functions for both components in terms of 0, A Rand en- Coding note: 0=theta, eg =epsilon0. f.(0) f,(0) Check
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