A dipole of moment p is placed in uniform electric field E then torque acting on it is given by : -
$\to τ = \to P \times \to E$
$\to τ = \to P \cdot \to E$
$\to τ = \to P + \to E$
$\to τ = \to P - \to E$

Question

A dipole of moment p is placed in uniform electric field E then torque acting on it is given by - -vectau-vec Ptimes vec Evectau-vec Pcdot vec Evectau-vec P- vec Evectau-vec P-vec E

Toppr Admin · Accepted Answer

Force on charge -q-FA-qE along direction of vector -x2192-E-xA0-Force on charge -x2212-q-FB-qE opposite to direction of-xA0-x2192-EAs there two forces are equal- they from a coupleTorque-x3C4-Force-xD7-Armofcouple-x3C4-F-xD7-ABsin-x3B8-x3C4-qE-xD7-ABsin-x3B8-x3C4-qE-xD7-2asin-x3B8-x3C4-q-xD7-2a-Esin-x3B8-x3C4-PEsin-x3B8-wherePindipolemovement-x3C4-P-xD7-E

A dipole of moment p is placed in uniform electric field E then torque acting on it is given by : -→τ=→P×→E→τ=→P⋅→E→τ=→P+→E→τ=→P−→E

Force on charge +q=FA=qE along direction of vector →E Force on charge −q=FB=qE opposite to direction of →EAs there two forces are equal, they from a coupleTorque(τ)=Force×Armofcoupleτ=F×ABsinθτ=qE×ABsinθτ=qE×2asinθτ=(q×2a)Esinθτ=PEsinθ,wherePindipolemovementτ=P×E

A dipole of moment p is placed in uniform electric field E then torque acting on it is given by : -
$\to τ = \to P \times \to E$
$\to τ = \to P \cdot \to E$
$\to τ = \to P + \to E$
$\to τ = \to P - \to E$