Question

tions... And finally, Qa-F and ecr are not equal, and ehe I S ) The diagram shows a short rod (red) resting a distance a above and perpendicular to an infinite non-conducting sheet (green) with charge density The rod has a non-uniform charge density on it, and a total charge Qo Assuming that a small element of charge on the red rod is dq-An(r)dr, and given that its density is of the forn AR(r)-b sin(π,a), calculate the value of the constant b. (b) What is the electric field Esir) due to the green sheet of charge, evaluated at a distance r above it? e What is the small force dF on a short section dr of the rod at a distance r from the sheet charge, using the dq from part (a) and the Es from part (b)? Integrate dF to find the total force Fx on the rod Notes: Express all four answers (a, b, c & d) in terms of Qo, a, o and physical constants only. Do not evaluate any of the physical constants numerically leave them as algebraic entities only. Also, use the point on the sheet directly below the rod as the origin for all dr position measurements.] (t

Answer 1

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