Electrostatic Potential and Capacitance - Result Question 39

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41. In a parallel plate capacitor, the distance between the plates is $d$ and potential difference across the plates is V. Energy stored per unit volume between the plates of capacitor is

======= ####41. In a parallel plate capacitor, the distance between the plates is $d$ and potential difference across the plates is V. Energy stored per unit volume between the plates of capacitor is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/electrostatic-potential-and-capacitance/electrostatic-potential-and-capacitance—result-question-39.md (a) $\frac{Q^{2}}{2 V^{2}}$

(b) $\frac{1}{2} \varepsilon_0 \frac{V^{2}}{d^{2}}$

(c) $\frac{1}{2} \frac{V^{2}}{\varepsilon_0 d^{2}}$

(d) $\frac{1}{2} \varepsilon_0 \frac{V^{2}}{d}$

[2001]

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Answer:

Correct Answer: 41. (b)

Solution:

  1. (b) Energy stored per unit volume

$=\frac{1}{2} \varepsilon_0 E^{2}=\frac{1}{2} \varepsilon_0(\frac{V}{d})^{2}=\frac{1}{2} \varepsilon_0 \frac{V^{2}}{d^{2}}(\because E=\frac{V}{d})$