MCQ
Dimension of Capacitance is
- A$MLA ^{-1} T ^{4}$
- B$ML ^{2} A ^{-2} T ^{-4}$
- ✓$M ^{-1} L ^{-2} A ^{2} T ^{4}$
- D$M ^{-1} L ^{-1} A ^{2} T ^{2}$
✓
Answer
Correct option: C.
$M ^{-1} L ^{-2} A ^{2} T ^{4}$
c
The expression for energy stored in the capacitor is given by,
The expression for energy stored in the capacitor is given by,
$U=\frac{q^{2}}{2 C}$
$=\frac{(I t)^{2}}{2 C}$
Substitute the dimension of each term.
$M ^{1} L ^{2} T ^{2}=\frac{[ AT ]^{2}}{C}$
$C=\frac{[ AT ]^{2}}{ M ^{1} L ^{2} T ^{-2}}$
$= M ^{-1} L ^{-2} A ^{2} T ^{4}$
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