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  4. A condenser of 2 μ F capacitance is charged steadily from 0 to 5 C. Which of the following graph represents correctly the variation of potential difference (V) across it's plates with respect to the charge ( Q ) on the condenser?

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Q. A condenser of $2 \,\mu F$ capacitance is charged steadily from $0$ to $5 C$. Which of the following graph represents correctly the variation of potential difference $(V)$ across it's plates with respect to the charge $( Q )$ on the condenser?

JEE MainJEE Main 2022Electrostatic Potential and Capacitance

Solution:

$ Q = CV$
$V =\frac{1}{ C } Q$
Straight line with slope $=\frac{1}{ C }$
Slope $=\frac{1}{C}=\frac{1}{2 \times 10^{-6}}=5 \times 10^5$