Electrostatics Question 806

Question: A parallel plate capacitor with air between the plates is charged to a potential difference of 500 V and then insulated. A plastic plate is inserted between the plates filling the whole gap. The potential difference between the plates now becomes 75V. The dielectric constant of plastic is

Options:

A) 10/3

B) 5

C) 20/3

D) 10

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ V _{0}=\frac{q}{C _{0}} $

$ V=\frac{q}{C}\Rightarrow \frac{V}{V _{0}}=\frac{C _{0}}{C}\Rightarrow \frac{C _{0}}{C}=\frac{500}{75}=\frac{20}{3} $



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