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WorksheetsElectrostatics
Total questions: 20
Worksheet time: 20mins
Differential form of Gauss law
∮E.ds = ϵ0q
∇2V=−ϵ0ρ
∇.E =ϵ0ρ
Δ.E=ϵ0ρ
Unit of dipole moment
mC
Cm2
Cm
The electric field inside a conductor is
(a)
Electric field due to an infinite plane sheet of charge
E=2ϵ0q
E=2ϵ0σ
E=ϵ0σ
E=ϵ0ρ
Electric potential at an internal point due to a uniformly charged conducting sphere of radius R is
4πϵ01 R2q
4πϵ01 R3qR
4πϵ01 Rq
8πϵ01 R3qr
Potential due to an electric dipole consisting of two charges +q and -q separated by a distance 2d is
V=4πϵ01 r2psin θ
V=4πϵ01 r2p
V=4πϵ01 rpcos θ
V=4πϵ01 r2pcos θ
Capacitance of a spherical capacitor of radii a and b is
C=b−a4πϵ0b2
C=log (ab)2πϵ0l
C=b−a4πϵ0b
C=log (ab)2πϵ0
What is the expression for potential energy of a dipole in a uniform electric field?
− p.E
p ×E
qE
pE sin θ
Expression for capacitance in parallel
C11 + C21 +C31
C1+C2+C3
The capacitance of a parallel plate capacitor is 400 pico Farad and its plates are separated by 2 mm of air. What is the energy when it is charged to 1500 volts?
0.45×10−2J
4.5×10−4J
4.5×10−5J
2 charged objects both feel a force of 200 N. If q1 becomes 3 times bigger, what is the new force
203
600
66.7
1800
2 charges are 20 cm apart and feel a force of 500 N. if the distance between them becomes 60 cm, what is the new force
4500
540
1500
55.6
1 uF
3 uF
2 uF
1/4 uF
