Problem: The figure (Figure 1) shows a thin rod of length L with total charge Q. Find an expression for the electric field E at distance X from the end of the rod. Give your answer in component form. Express your answer in terms of the variables Q, L, X, unit vectors i, j, and appropriate constants.

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FREE Expert Solution

We consider a small element of length dl with a charge dq since the charge is uniformly distributed on the rod.

The electric field at point P due to charge element, dq is:

E=dq4πε0r3r

The charge element, dq is expressed as:

dq=QLdl

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Problem Details

The figure (Figure 1) shows a thin rod of length L with total charge Q. Find an expression for the electric field E at distance X from the end of the rod. Give your answer in component form. Express your answer in terms of the variables Q, L, X, unit vectors i, j, and appropriate constants.

The figure (Figure 1) shows a thin rod of length L

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Field concept. You can view video lessons to learn Electric Field. Or if you need more Electric Field practice, you can also practice Electric Field practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Perry's class at TEXAS.