Question

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Find out the dimensions of capacitance?
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Answer 1

$\huge\underline\mathfrak\purple{Answer}$

Unit of capacitance

Coulomb / Volt

(Coulomb)^2 / Joule

(Amp-sec)^2 /

(Amp)^2 (sec)^4

Dimensional formula of capacitance is

M^(-1) * L^(-2) * T^4 * A^2.

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Answer 2

Explanation:

we know that

$q \: = CV \\ \\ c \: = \frac{q}{V} \\ \\ c \: = \frac{ {q}^{2} }{W} \: \: \: \: \: (W \: = \frac{W}{q} \: ) \\ \\ c \: = \frac{ [{A}^{2} {T}^{2}] }{[M {L}^{2} {T}^{ - 2}] } \\ \\ dimensional \: formula \: = \: [{M}^{ - 1} {L}^{ - 2} {T}^{4} {A}^{ - 2}]$

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