Question

There are n infinite metal plates arranged parallel to each other as shown. q1, q2 , ...., qn are respective charges on these plates. Chargeq on the left surface of left most plate is ?1) (q1 + q2 +...+qn)/22) (q1 + q2 +---+qn)/n3) 04) none​

Answer 1

Answer:

Correct option is

D

(Q

1

−Q

2

)/(2C)

The potential difference between the two identical metal plates is given as

C=

d

ε

0

A

Let the surface charge density is given as

σ

1

=σ

21

=

A

Q

The net electric field is

E

net

=

2ε

0

σ

1

−σ

2

We know the potential difference is given as

V=E.d

By substituting the above values we get

V=

2C

Q

1

−Q

2