A small conducting spherical shell with inner radius a and outer radius b is con
ID: 1879590 • Letter: A
Question
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherial shell with inner radius c and outer radius d. The inner shell has a total charge of 2q and the outer shell has a total charge of +4q 2 Select True or False for the following statements. FalseThe total charge on the inner surface of the large shell is +2q, True The total charge on the outer surface of the large shell is +2q. False, The radial component of the electric field in the region cExplanation / Answer
f) For conductors net charge distributes on its surface hence
The total charge on inner surface of the small shell = qinner small = 0 C………………….True
e) qinner net = qinner small + qouter small
-2q = 0 + qouter small => qouter small = -2q ………………….False
g) Er<a = qinside/0 = 0/0
Er<a = 0 N/C ………………….False
a) For Gaussian surface c<r<d
net = 0
qnet = 0
qinner small + qinner large + qouter small = 0
0 + qouter large - 2q = 0
qouter large = 2q ………………….True
b)
For Gaussian surface r > d
qnet = 4q
qouter small + qouter large = 0
2q + qouter large = 4q
qouter large = (4q-2q)
qouter large = 2q ………………….True
c)
c<r<d = qinner large/0 = 2q/0
Ec<r<d =2q/4r20 ………………….False
c)
r>d = qouter large/0 = 2q/0
Er>d =2q/4r20………………….True