At what rate the potential difference between the plates of a cap… - Vidyadip

MCQ

At what rate the potential difference between the plates of a capacitor be changed to set up a displacement current of $1\, A$ in a capacitor of $2\,\mu F$ ?

A
${10^{ + 6}}\,V/s$
✓
$0.5 \times {10^{ + 6}}\,V/s$
C
${10^{ - 6}}\,V/s$
D
$0.5 \times {10^{ - 6}}\,V/s$

✓

Answer

Correct option: B.

$0.5 \times {10^{ + 6}}\,V/s$

b
$\mathrm{I}_{\mathrm{D}}=\frac{\mathrm{d} \mathrm{q}}{\mathrm{dt}}=\frac{\mathrm{d}}{\mathrm{dt}}(\mathrm{VC})=\mathrm{C} \frac{\mathrm{d} \mathrm{V}}{\mathrm{dt}}$

Here $\mathrm{I}_{\mathrm{p}}=1 \mathrm{\,A}, \mathrm{C}=2 \times 10^{-6} \mathrm{\,F}$

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