An electric dipole of moment vecp placed in a uniform electric field vecE has minimum potential energy when the angle between vecp and vecE is

Question

An electric dipole of moment vecp placed in a uniform electric field vecE has minimum potential energy when the angle between vecp and vecE is (A) zero (B) (π/2) (C) π (D) (3 π/2)

Tardigrade Admin · Accepted Answer

U=-p E cos θ It has minimum value when θ=0° i.e., (UP) min =-p E × cos 0°=-p E

Q. An electric dipole of moment $p$ placed in a uniform electric field $E$ has minimum potential energy when the angle between $p$ and $E$ is

zero

$\frac{π}{2}$

$π$

$\frac{3 π}{2}$

$U = - pE cos θ$
It has minimum value when $θ = 0^{\circ}$
i.e., $(U_{P})_{m i n} = - pE \times cos 0^{\circ} = - pE$

Q. An electric dipole of moment p​ placed in a uniform electric field E has minimum potential energy when the angle between p​ and E is

zero

2π​

π

23π​

U=−pEcosθ It has minimum value when θ=0∘ i.e., (UP​)min​=−pE×cos0∘=−pE

Q. An electric dipole of moment $p$ placed in a uniform electric field $E$ has minimum potential energy when the angle between $p$ and $E$ is

$\frac{π}{2}$

$π$

$\frac{3 π}{2}$

$U = - pE cos θ$
It has minimum value when $θ = 0^{\circ}$
i.e., $(U_{P})_{m i n} = - pE \times cos 0^{\circ} = - pE$