Q.

A parallel plate capacitor has unequal charges +2Q and -Q as shown in the figure. If the capacitance of the capacitor is C and P is a point outside of the capacitor, then (d is the distance between the plates)
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a

a point charge at point P will not experience any electric force due to capacitor plates 

b

the potential difference between the plates will be 3Q2C

c

the energy stored in the electric field in the region between the plates is 9Q28C

d

the force on one plate due to the other plate is Q22πε0d2

answer is C, B.

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Detailed Solution

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Charges on various faces of the plates will be as shown in the figure.

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EP=Q4Aε0+Q4Aε0=Q2Aε00. Hence a point charge kept at P will
experience a non-zero force     Option (a) is wrong.
Electric field between the plates, E=3Q2Aε0
Potential difference between the plates,  V=Ed=3Q2Aε0d
But C=Aε0d

V=3Q2C                      Option (b) is correct
The energy stored in the electric field in the region between the plates is
 U=12CV2=12C3Q2C2=9Q28C              Option (c) is correct.
The force on one plate due to the other plate is

F=electric  field  on  the  platecharge   on  plate

F=E23Q2=3Q4Aε03Q2=9Q28Aε0         Option (d) is wrong.

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