THE PROBLEM A cylinder of radius R-1.1 cm and length L-51 cm has charge Q-2 2 IC
ID: 1661340 • Letter: T
Question
THE PROBLEM A cylinder of radius R-1.1 cm and length L-51 cm has charge Q-2 2 IC spread uniformly along its surface (and not on its flat ends) (a) Calculate the electric field strength a distance 5mm from the cylinder's surface (not near either end). (b) Calculate the electric field strength a distance D-22 m from the rod. PAPER SOLUTION INTERPRET DEVELOP If needed, please use k rather than Eo (a) Derive a simple practical algebraic expression for the field strength at d (b) Derive a simple practical algebraic expression for the field strength at DExplanation / Answer
R = radius of cylinder = 1.1cm
Q = charge on cylinder = 22 C
L = length of cylinder = 51cm
d = distance from the Cylinder( 5mm in part (a) and 22m in Part (b))
k = 1/4
The electric field of an infinite cylindrical conductor with a uniform linear charge density can be obtained by using Gauss' law. Considering a Gaussian surfacein the form of a cylinder at radius r > R, the electric field has the same magnitude at every point of the cylinder and is directed outward. The electric flux is then just the electric field times the area of the cylinder.
= E * 2RL = L/, where = charge per unit Length = Q/L
Hence, E = /(2R)
Using the above relations, one can obtain the desired values.
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