When a $0.75 \mu \mathrm{F}$ capacitor is charged to a voltage of $20 \mathrm{~V}$, then the magnitude of…

When a $0.75 \mu \mathrm{F}$ capacitor is charged to a voltage of $20 \mathrm{~V}$, then the magnitude of charge on each plate is
  1. $15 \mu \mathrm{C}$
  2. $10 \mu \mathrm{C}$
  3. $20 \mu \mathrm{C}$
  4. $12 \mu \mathrm{C}$

Solution

Given that, capacitance of capacitor, $ C=0.75 \mu \mathrm{F} $ Voltage applied, $V=20 \mathrm{~V}$ Using an expression of charge stored on each plate of capacitor, $Q=C V$ Substituting the values, we get $ \begin{aligned} & Q=0.75 \times 10^{-6} \times 20=15 \times 10^{-6} \mathrm{C} \\ & Q=15 \mu \mathrm{C} \end{aligned} $ Hence, $15 \mu \mathrm{C}$ of charge stored on each plate of capacitor

Asked in: AP EAMCET 2021 (24 Aug Shift 1)

Practice more Electrostatics questions on Aicharya