First slide

Physical quantities and units

Question

Farad is not equivalent to

Moderate

A

$\frac{q}{V}$
B

$q V^{2}$
C

$\frac{q^{2}}{W}$
D

$\frac{W}{V^{2}}$

Solution

Capacitance $C = \frac{C h \arg e}{P o t e n t i a l} = \frac{q}{V}$
Also potential $= \frac{W o r k}{C h \arg e} (∵ V = \frac{W}{q})$
$∴ C = \frac{q^{2}}{W} a s w e l l a s C = \frac{W}{V^{2}}$
Thus, (a), (c), (d) are equivalent to farad but (b) is not equivalent to Farad.

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