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A rod with a continuous charge extending from x=2.00m to x=3.00m has a charge density lambda=3x^2.
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
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