Question:
The energy dissipated by a resistor is $10 \mathrm{~mJ}$ in $1 \mathrm{~s}$ when an electric current of $2 \mathrm{~mA}$ flows through it. The resistance is________$\Omega$
(Round off to the Nearest Integer)
Solution:
$(2500)$
$\mathrm{Q}=\mathrm{i}^{2} \mathrm{RT}$
$\mathrm{R}=\frac{\mathrm{Q}}{\mathrm{i}^{2} \mathrm{t}}=\frac{10 \times 10^{-3}}{4 \times 10^{-6} \times 1}=2500 \Omega$