Q147 / 160 · AP EAMCET 2021 (24 Aug Shift 1) · Physics

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

  • Correct answer
    A
    $15 \mu \mathrm{C}$
  • B
    $10 \mu \mathrm{C}$
  • C
    $20 \mu \mathrm{C}$
  • D
    $12 \mu \mathrm{C}$

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.

Hence, the correct answer is option: 'A'.

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