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Question : 9
Total: 9
A 100 µ F parallel plate capacitor having plate separation of 4 mm is charged by 200 V dc. The source is now disconnected. When the distance between the plates is doubled and at dielectric slab of thickness 4 mm and dielectric constant 5 is introduced between the plates, how will
(i) its capacitance,
(ii) the electric field between the plates, and
(i) its capacitance,
(ii) the electric field between the plates, and
Solution:
(iii) energy density of the capacitor get affected? Justify your answer in each case.
(i) Change in Capacitance
(ii) Change in Electric field
(iii) Change in Energy density
Dielectric slab of thickness4 mm =
mm
= 0.8 mm
Effective (air) plate separation
= ( 4 + 0.8 ) mm = 4.8 mm
(i) Effective new capacitance
C ′ = 100 µ F ×
=
µ F
Change on capacitor remains same
Q = C × V = 100 × 10 − 6 × 200 = 2 × 10 − 2 C
New p.d.V ′ =
=
= 2.4 × 10 − 6 volt
(ii) Effective new Electric Field,
E ′ =
= 5 × 10 − 8 Vm − 1
(iii)
=
=
= 0.8
New energy density will be( 0.8 ) of the original density.
(i) Change in Capacitance
(ii) Change in Electric field
(iii) Change in Energy density
Dielectric slab of thickness
Effective (air) plate separation
(i) Effective new capacitance
Change on capacitor remains same
New p.d.
(ii) Effective new Electric Field,
(iii)
New energy density will be
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