charge distribution on a metal body

Question 1

state the law of charge distribution on metal bodies

Answer 1

whenever charge is given to a metal body it distributes on the outer surface in such a manner to make net electric field inside the body equal to zero.

Question 2

electric field due to a large uniformly charged CONDUCTING sheet

Answer 2

σ/⋲o

(both surfaces add up)

Question 3

charge induction in metal bodies

Answer 3

if a metal body is placed in an electric field, induction on the body surface starts and continous flow of electrons in the body takes place till the net electric field inside the body becomes zero
E-Ei = 0

thus we can also say that when all charges in a metal body are at rest, net electric field at every interior point of body is zero as it balances the external field

Question 4

electric field due to uniformly charged CONDUCTING solid sphere

Answer 4

for x>R
E= KQ/x^2

for x=R
E= KQ/R^2

for x<R
E=0

Question 5

electric field strength due to uniformly charged CONDUCTING hollow sphere

Answer 5

same as conducting solid sphere

Question 6

electric field strength due to uniformly charged NON-CONDUCTING solid sphere

Answer 6

out- KQ/x^2
surface- KQ/x^2
inside-[ KQenclosed/x^2 - Kqx/R^3 or if volume charge density is given- ρx/3⋲o

x is distance from centre

Question 7

electric field due to a (long) uniformly charged CONDUCTING cylinder

Answer 7

outside- σR/x⋲o
surface- σ/⋲o
inside= 0

x is from centre

Question 8

electric field due to (long) uniformly charged NON-CONDUCTING cylinder

Answer 8

out- pR^2/2⋲ox
surface- pR/2⋲o
inside- px/2⋲o

p is volume charge density (rho)

x is from centre

Question 9

electric field due to thick large NON-CONDUCTING charged sheet

Answer 9

px/⋲o

p is volume charge density (rho)