2. a) Calculate the potential of inhomogeneously charged finite rod of length 2a with (y) K|y|, where K is a positive real constant. For this goal, you have to adapt the following integral to this problem: = kdq V = r Notice that dq = Ads = X(y')dy' here (y') is a function of the position, and r is given in the picture. A final remark, remember the absolute value function: = y for positive y, and y| = -y for negative y. This will help you during y'-integration over the interval [-a,+a]. b) If you found V(x), then calculate the electric field from the relation E(x)=-dV/dx. c) Plot both functions V(x) and E(x) only for positive x. У dq Ads - y' r = 8
2. a) Calculate the potential of inhomogeneously charged finite rod of length 2a with (y) K|y|, where K is a positive real constant. For this goal, you have to adapt the following integral to this problem: = kdq V = r Notice that dq = Ads = X(y')dy' here (y') is a function of the position, and r is given in the picture. A final remark, remember the absolute value function: = y for positive y, and y| = -y for negative y. This will help you during y'-integration over the interval [-a,+a]. b) If you found V(x), then calculate the electric field from the relation E(x)=-dV/dx. c) Plot both functions V(x) and E(x) only for positive x. У dq Ads - y' r = 8
Chapter7: Electric Potential
Section: Chapter Questions
Problem 97AP: (a) Find x L limit of the potential of a finite uniformly charged rod and show that it coincides...
Related questions
Question
![2. a) Calculate the potential of inhomogeneously charged finite rod of length
2a with (y) K|y|, where K is a positive real constant.
For this goal, you
have to adapt the following integral to this problem:
=
kdq
V =
r
Notice that dq = Ads = X(y')dy' here (y') is a function of the position, and r
is given in the picture. A final remark, remember the absolute value function:
= y for positive y, and y| = -y for negative y. This will help you during
y'-integration over the interval [-a,+a].
b) If you found V(x), then calculate the electric field from the relation
E(x)=-dV/dx.
c) Plot both functions V(x) and E(x) only for positive x.
У
dq Ads
-
y'
r =
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f053fb9-f9e7-48c5-bece-1afd6b12c0b9%2F5fdb1f65-c63e-4acb-b402-fbbfe72ec821%2F3hz5ea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. a) Calculate the potential of inhomogeneously charged finite rod of length
2a with (y) K|y|, where K is a positive real constant.
For this goal, you
have to adapt the following integral to this problem:
=
kdq
V =
r
Notice that dq = Ads = X(y')dy' here (y') is a function of the position, and r
is given in the picture. A final remark, remember the absolute value function:
= y for positive y, and y| = -y for negative y. This will help you during
y'-integration over the interval [-a,+a].
b) If you found V(x), then calculate the electric field from the relation
E(x)=-dV/dx.
c) Plot both functions V(x) and E(x) only for positive x.
У
dq Ads
-
y'
r =
8
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