SATHEE: Electrostatics Question 813

Electrostatics Question 813

Options:

A) $\frac{V_{0}}{V} - 1$

B) $\frac{V_{0}}{V} + 1$

C) $\frac{V}{V_{0}} - 1$

D) $\frac{V}{V_{0}} + 1$

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Answer:

Correct Answer: A

Solution:

[a] $C_{1} = C, V_{1} = V_{0}, C_{2} = K C, V_{2} = 0$

And $V_{c o m m o n} = V$

We know that $V_{c o m m o n} = \frac{C_{1} V_{1} + C_{2} V_{2}}{C_{1} + C_{2}}$

$∴ V_{c o m m o n} = \frac{C V_{0} + K C \times O}{C + K C}$

or $K = \frac{V_{0}}{V} - 1$

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Electrostatics Question 813

Question: An uncharged parallel plate capacitor having a dielectric of dielectric constant K is connected to a similar air cored parallel plate capacitor charged to a potential V0. The two share the charge, and the common potential becomes V. The dielectric constant K is

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Question: An uncharged parallel plate capacitor having a dielectric of dielectric constant K is connected to a similar air cored parallel plate capacitor charged to a potential $V_{0} .$ The two share the charge, and the common potential becomes V. The dielectric constant K is