A rod with a continuous charge extending from x=2.00m to x=3.00m has a charge density lambda=3x^2.(adsbygoogle = window.adsbygoogle || []).push({});

a.)What is the charge on the rod?

b.)What is the Electric potential of the rod at the origin?

c.)What is the Electric field at the origin.

This was a test question that I totally messed up....

How do I find the charge of the rod? Everything I did wrong stemmed off that first part of the question.

For part a I totally messed up, I'm sure it was extremely easy, but I ended up integrating from 2 to 3 dq/r^2 only to realize with no time left that I'm finding the E field of rod, not the charge...[b(] Thinking about it now, should I have treated it as a guassian surface and found the charge by q_in / epsilon knot ?

When finding the electric potential I used V = Kq/r because I figured since it was the origin it was defined as V=0 and R_a = infinity.

When finding the E field at the origin I again treated the origin as a point and used E = kq/r^2 but then after the test realized I probably should have used E=int Kdq/r^2 and integrated from 0 to 3..

Should I of?

Any help is greatly appreciated

Thanks

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# Homework Help: Continuous Charge

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