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The capacitance of an isolated conductin...

The capacitance of an isolated conducting sphere of radius R is proportional to

A

`R^(-1)`

B

`R^(2)`

C

`R^(-2)`

D

`R`

Text Solution

Verified by Experts

The correct Answer is:
D
The capacity of an isolated spherical conductor of radius R is `4pi epsilon_(0)R.`
`therefore" "C prop R`
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Knowledge Check

  • The capacity of an isolated conducting sphere of radius R is proportional to

    A
    `R^2`
    B
    `1/R^2`
    C
    `1/R`
    D
    R

  • The capacitance (C ) for an isolated conducting sphere of radius (a) is given by 4pi epsilon_(0)a . If the sphere is enclosed with an earthed concentric sphere. The ratio of the radii of the sphere being (n)/((n-1)) then the capacitance of such a sphere will be increased by a factor

    A
    `n`
    B
    `(n)/((n-1))`
    C
    `((n-1))/(n)`
    D
    `a.n.`

  • The capacity of an isolated sphere of radius 9 cm is C. When it is connected to an earthed concentric thin hollow sphere of radius R, the capacity becomes 10 C. Then the value of R is

    A
    9cm
    B
    10 cm
    C
    90 cm
    D
    100 cm

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