Question

. The capacity of a sphere in air 4uF. If it is placed in a liquid of S.I.
C. 4 then what will be its capacity ?​

Answer 1

Answer:

Capacity of spherical capacitor bounded by two spheres is given by:

C=

R

2

−R

1

4πϵ

0

R

1

R

2

------------(i)

Now, according to question:

C=1μF=10

−6

F

and R

2

−R

1

=1mm=10

−3

m

So, by putting the value in eq. (i), we get:

10

6

=

10

−3

m

4πϵ

0

R

1

R

2

⟹R

1

R

2

=

4πϵ

0

1

×10

−6

×10

−3

As we know, R

1

≈R

2

and

4πϵ

0

1

=9×10

9

So, R

2

2

=9×10

9

×10

−9

⟹R

2

=

9

=3m