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Question

an electric dipole of dipole momentpis placed in uniform electrostatic fieldE.

for what angle between p and E will potential energy of electric dipole be half of its maximum value. Explain.

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Solution

Potential energy of the dipole in the unifrom electric field is given by:
U = -P.EU = -PE cosθfor maximum energy , θ = 0oUmax = -PEfor half of the value U = -PE2cos θ = 12θ = 60o

where θ is the angle between P and E.

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