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Two long straight wires, carrying opposite uniform line

Chapter 3, Problem 40P

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QUESTION:

Problem 40P

Two long straight wires, carrying opposite uniform line charges ±λ, are situated on either side of a long conducting cylinder (Fig. 3.39). The cylinder (which carries no net charge) has radius R, and the wires are a distance a from the axis. Find the potential.

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QUESTION:

Problem 40P

Two long straight wires, carrying opposite uniform line charges ±λ, are situated on either side of a long conducting cylinder (Fig. 3.39). The cylinder (which carries no net charge) has radius R, and the wires are a distance a from the axis. Find the potential.

ANSWER:

Step 1 of 1

We have to find the potential  due two long straight wires, carrying opposite uniform line charges  situated on either side of a long conducting cylinder.

To find the potential , we place line charges at at and at as shown in figure below where  is the horizontal axis and  is the vertical axis

potential.PNG

The total potential is given by,

                           

             

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