3. Consider an insulating sphere with radius a·9 cm. A charge of -13.3 C is unif

Question

3. Consider an insulating sphere with radius a·9 cm. A charge of -13.3 C is uniformly distributed throughout this sphere. It is surrounded by a conducting shell. The charge on the inner surface of the shell is 92 and the charge on the outer surface of the shell is gs. The total charge q on the shell is 66.3 Find the charges q2 and q3. (Use Gauss's law) 72 ating conducting shell 4. A flat sheet of paper of area 0.1 m2 is oriented so that the normal to the sheet is at an angle of 60 uniform electric field of magnitude 14 N/C. to a (a) Determine the magnitude of the electric flux through the sheet (b) For what angle between the normal to the sheet and the electric field is the magnitude of the flux (i) largest (i) smallest?

Explanation / Answer

an equal and opposite charge of q2 is induced on inner surface

q2 = -q1 = +13.3 uC

total charge on shell

q = q2 + q3

given q = 66.3 uC

q3 = q - q2 = 13.3 - 66.3 = -53 uC

===================

(a)

Electric flux = E*A*costheta

flux = 14*0.1*cos60 = 0.7 Nm^2/C

(b)

(i)

for largest cosphi = 1

phi = 0

(ii)

for smallest

cosphi = 0

phi = 90

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