Question

(a) A circular disk of 10 cm radius is charged uniformly with a total charge of Q
coul. Find the electric field intensity at a point 20 cm away from the disk,
along its axis.
(b) Consider a uniformly charged right circular cylindrical shell having total
charge Q, radius R, and height h. Determine the electric field at a point a
distance d from the right side of the cylinder, as shown in Fig. 3. (Hint: treat
the cylinder as a collection of ring charges.)
(c) Consider now a solid cylinder with the same dimensions and carrying the
same charge, which is uniformly distributed through its volume. Find the
field it creates at the same point. (Hint: treat the cylinder as a collection of
disk charges.)

Answer 1

N/C

Solution. If the charge at the sphere is distributed uniformly, for r>R the electric

field created by it is the same as the electric field of the same amount of point

charge located at the center of the sphere (Shell Theorem)..

9 12

2 2 2

7

8.99*10 6.3*10 /

(10*10 )

q

E k N C

r

−

= = =

Answer A.

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