(33%) Problem i: A uniformly charged rod of length L-1.9 m lies along the x-axis
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(33%) Problem i: A uniformly charged rod of length L-1.9 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q 9.4 C, A pont p is located on the x-axis a distance a = 2.4 m to the right of the origin. - Ctheexpertta.com 25% Part (a) Consider a thin slice of the rod of thickness dr located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod? 25% Part (b) Write an equation for the electric field dE at point p due to the thin slide of the rod dr. Give your answers in terms of the variables Q.L, x, a, d, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod Grade Summary Deductions wae Late work % Late Potential 15% 15% dx Submissions 20 Attempts remaining (0% per attempt) detailed view Submit Hint Hints: 036 deduction per hint. Hints remaining Feedback: 0%deduction per feedback. 25% Part (c) Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P 25% Part (d) Calculate the magnitude of the electric field En kilonewtons per coulomb (kNC) at point p due to the charged rod.Explanation / Answer
Charge per unit length = Q / L
Charge on slice dx dq = dx
Electric field generated by slice dx
dE = kdq x 2
= k dx x 2
Electric field generated by charged rod E = k Z D + L D dx x 2
= k
1 x – D + L D
= k »
1 D 1 D + L –
= kQ D(D + L)
Limiting case of very short rod (L D): E kQ D 2
Limiting case of very long rod (L D): E k D
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