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The ratio of charge given to a conductor and potential raised due to this charge is called electric capacitance of the conductor.

From equation : C $=Vq $

Thus , the electric capacitance of a conductor is a constant. Its value depends upon the nature and area of the conductor and on the environment around the conductor and also on the other conductors placed near the conductor.

Again from $C$ $=Vq $ , if $V$ =1 volt, then $C=q$

i.e. the electrical capacitance of a conductor of a conductor is equal to charge of conductor when the applied potential on a conductor take as unity.

Unit and Dimensions:

$∵C=Vq $

$∴$ Unit of capacitance $=voltcoulomb =$ CV$_{−1}=$ Farad (F)

$∵$ 1CV $_{−1}=$ 1F

If q = 1C, V = 1 volt, then C = 1F

i.e., 'If on giving a charge of 1 C to a conductor its potential is increased by 1 volt, then the capacitance of the conductor will be 1F'.

Farad is a big unit of capacitance. In practice other small units e.g, $μ$F and $μμF$ or pF are used.

$1μ$F $=10_{−6}$F

and $1μμ$F = 1 pF = $10_{−12}$F

Dimensional formula:

$∵$ $C=Vq =qW q =Wq_{2} =Wi_{2}t_{2} $

$∴$ Dimensional formula of C $=M_{1}L_{2}T_{−2}[A_{2}T_{2}] $

$=[M_{−1}L_{−2}T_{4}A_{2}]$

Graph : If a graph is plotted between $q$ and $V$ , then the straight line is obtained.

The gradient of the graphical line $=tanθ=Vq =C$

i.e., the gradient of the graph provides the capacitance of the conductor.

i.e. the electrical capacitance of a conductor of a conductor is equal to charge of conductor when the applied potential on a conductor take as unity.

Unit and Dimensions:

$∵C=Vq $

$∴$ Unit of capacitance $=voltcoulomb =$ CV$_{−1}=$ Farad (F)

$∵$ 1CV $_{−1}=$ 1F

If q = 1C, V = 1 volt, then C = 1F

i.e., 'If on giving a charge of 1 C to a conductor its potential is increased by 1 volt, then the capacitance of the conductor will be 1F'.

Farad is a big unit of capacitance. In practice other small units e.g, $μ$F and $μμF$ or pF are used.

$1μ$F $=10_{−6}$F

and $1μμ$F = 1 pF = $10_{−12}$F

Dimensional formula:

$∵$ $C=Vq =qW q =Wq_{2} =Wi_{2}t_{2} $

$∴$ Dimensional formula of C $=M_{1}L_{2}T_{−2}[A_{2}T_{2}] $

$=[M_{−1}L_{−2}T_{4}A_{2}]$

Graph : If a graph is plotted between $q$ and $V$ , then the straight line is obtained.

The gradient of the graphical line $=tanθ=Vq =C$

i.e., the gradient of the graph provides the capacitance of the conductor.

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