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A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system

(A)

Decreases by a factor of 2

(B)

Remains the same

(C)

Increases by a factor of 2

(D)

Increases by a factor of 4

NEET - Medical UG-2017 Easy

Answer & Solution:

\(\large{E=electrostatic~ energy\\Before ~battery ~is~ removed,\\E={\Large{ Q^2\over{2C}}}\\After ~battery ~is ~ removed~and ~connected~with ~similar ~uncharged ~capacitor,\\then, ~charge ~ is ~distributed~ equally~ on~ both~ of~ capacitor,\\Q_{new}={\Large{ Q\over{2}}}\\E_{total}={\Large{ Q^2\over{8C}}}+{\Large{ Q^2\over{8C}}}= {\Large{ Q^2\over{4C}}}\\It ~decreases~ by~ half }\)

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Other Questions of the same topic

Q1:

The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is

(A)

proportional to the square root of the distance between the plates

(B)

linearly proportional to the distance between the plates.
 

(C)

independent of the distance between the plates.

(D)

inversely proportional to the distance between the plates.
 

NEET - Medical UG-2018 Medium

Q2:

The diagrams below show regions of equipotentials.

 

A positive charge is moved from A to B in each diagram.

(A)

In all the four cases the work done is the same.

(B)

Minimum work is required to move q in figure (a).

(C)

Maximum work is required to move q in figure (b).

(D)

Maximum work is required to move q in figure (c).

NEET - Medical UG-2017 Easy

Q3:

A parallel plate capacitor of capacitance 20 \(\large \mu F\) is being charged by a voltage source whose potential is changing at the rate of 3 V/s. The conduction current through the connecting wires, and the displacement current through the plates of the capacitor, would be, respectively.

(A)

Zero, 60 \(\large \mu A\)

(B)

60 \(\large \mu A\), 60 \(\large \mu A\)

(C)

60 \(\large \mu A\), zero

(D)

Zero, zero

NEET - Medical UG-2019 Medium

Q4:

In a region the potential is represented by V(x, y, z) = 6x- 8xy -8y + 6yz, where Vis in volts and x, y, z, are in meters. The electric force experienced by a charge of 2 coulomb situated at point (1, 1,1) is :

(A)

\(\large 6\sqrt{5}N\)

(B)

30 N

(C)

24 N

(D)

\(\large 4\sqrt{35}N\)

NEET - Medical UG-2014 Easy

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