Electrostatics Question 275

Question: In the given circuit if point C is connected to the earth and a potential of +2000V is given to the point A, the potential at B is [MP PET 1997; Pb. PET 2003]

Options:

A) 3 : 1

B) 5 : 1

C) 3 : 5

D) 5 : 3

Show Answer

Answer:

Correct Answer: C

Solution:

Initially potential difference across both the capacitor is same hence energy of the system is U1=12CV2+12CV2=CV2 ..(i)

In the second case when key K is opened and dielectric medium is filled between the plates, capacitance of both the capacitors becomes 3C, while potential difference across A is V and potential difference across B is V3

hence energy of the system now is U2=12(3C)V2+12(3C)(V3)2

=106CV2 ..(ii) So, U1U2=35



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