Question

On charging two spherical conductors of different radi
with equal charge, the ratio of potentials on their
surfaces is 1 : 2. What will be the ratio of their by V
capacitances?



​

Answer 1

Answer:

After connection, V

1

=V

2

⇒K

r

1

Q

1

=K

r

2

Q

2

⇒

r

1

Q

1

=

r

2

Q

2

The ratio of electric fields

E

2

E

1

=

K

r

2

2

Q

2

K

r

1

2

Q

1

⇒

E

2

E

1

=

r

1

2

Q

1

×

Q

2

r

2

2

⇒

E

2

E

1

=

r

1

2

×r

2

r

1

×r

2

2

⇒

E

2

E

1

=

r

1

r

2

=

1

2

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