write an expression for electric potential energy of an electric dipole in a uniform electric field . Also find the condition if the dipole is initially parallel to E and perpendicular to E
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12th
Physics
Electrostatic Potential and Capacitance
Potential Energy in an External Field
Derive the formula for the ...
PHYSICS
Derive the formula for the electric potential energy of an electric dipole in a uniform electric field.
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Potential energy of dipole in uniform electric field.
τ
=
p
×
E
work done in rotating dipole by small angle
dw=τdθ
=−pεsinθdθ
The change in potential energy
dU=−dW=pEsinθdθ
If θ→90
o
to θ
o
U(θ)−U(90
o
)=∫
90
o
0
o
Pεsinθdθ
=Pε[−cosθ]
90
0
=−
P
.
E
So
U(θ)=−
P
.
E
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