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

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

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...

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