$1$. Calculate the spring constant $K$: $F = Kx \Rightarrow K = F/x = 5000 / 0.2 = 25000\ N/m$.$2$. Calculate the potential energy stored in the sprin

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$1$. Calculate the spring constant $K$: $F = Kx \Rightarrow K = F/x = 5000 / 0.2 = 25000\ N/m$.$2$. Calculate the potential energy stored in the spring $U_{spring}$: $U_{spring} = (1/2) K x^2 = (1/2) \times 25000 \times (0.2)^2 = 12500 \times 0.04 = 500\ J$.$3$. Calculate the potential energy stored in the capacitor $U_{cap}$: $U_{cap} = (1/2) C V^2 = (1/2) \times (10 \times 10^{-6}) \times (10000)^2 = 5 \times 10^{-6} \times 10^8 = 500\ J$.$4$. Calculate the ratio: $U_{spring} / U_{cap} = 500 / 500 = 1$.

Class 12 Physics Electric Potential and Capacitance Mix Examples - Electric Potential and Capacitance

Medium

An automobile spring extends by $0.2\ m$ for a load of $5000\ N$. What is the ratio of the potential energy stored in the spring when it is compressed by $0.2\ m$ to the potential energy stored in a $10\ \mu F$ capacitor at a potential difference of $10000\ V$?

A
$0.25$
B
$1$
C
$1/4$
D
$2$

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Electric Potential and Capacitance

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Mix Examples - Electric Potential and Capacitance

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An automobile spring extends by $0.2\ m$ for a load of $5000\ N$. What is the ratio of the potential energy stored in the spring when it is compressed by $0.2\ m$ to the potential energy stored in a $10\ \mu F$ capacitor at a potential difference of $10000\ V$?

Similar Questions

Two particles of equal mass $m$ have charges $+q$ and $+4q$. If they are accelerated through the same potential difference $V$,the ratio of their velocities $\frac{v_A}{v_B}$ is:

Two identical charged spherical drops,each at a potential $V$,coalesce to form a single larger drop. If the capacitance of each small drop is $C$,find the potential of the larger drop.

If the potential of $A$ is $10\,V$,then the potential of $B$ is

When a potential difference of $10^{3} \, V$ is applied between $A$ and $B$, a charge of $0.75 \, mC$ is stored in the circuit. The value of $C$ is (in $\mu F$):

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