Electrostatics Question 604

Question: Consider a parallel plate capacitor of 10μF (micro-farad) with air filled in the gap between the plates. Now one half of the space between the plates is filled with a dielectric of dielectric constant 4, . The capacity of the capacitor changes to [AFMC 2001; MP PET 2001]

Options:

A) 25μF

B) 20μF

C) 40μF

D) 5μF

Show Answer

Answer:

Correct Answer: A

Solution:

C1=ε0(A4)d,C2=Kε0(A2)d,C3=ε0(A4)d

Ceq=C1+C2+C3=(K+12)ε0Ad

=(4+12)×10=25μF



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