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Standard XII

Physics

Torque on a Dipole

An electric d...

Question

An electric dipole with dipole moment $4 \times 10^{- 9}$ C m is aligned at $30^{\circ}$ with the direction of a uniform electric field of magnitude $5 \times 10^{4} N C^{- 1}$ . Calculate the magnitude of the torque acting on the dipole.

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Solution

Given, dipole moment, $\to p = 4 \times 10^{- 9} C - m$
Electric field, $\to E = 5 \times 10^{4} N / C$
Angle between them, $θ = 30^{\circ}$
Torque applied on a dipole in the electric field
$\to τ = \to p \times \to E \Rightarrow τ = p E s i n θ o r τ = 4 \times 10^{- 9} \times 5 \times 10^{4} s i n 30^{\circ} = \frac{20 \times 10^{- 5}}{2} = 10^{- 4} N - m$
The direction of torque is perpendicular to both electric field and dipole moment.

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Torque on a Dipole

Standard XII Physics

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An electric dipole with dipole moment 4×10–9 C m is aligned at 30∘ with the direction of a uniform electric field of magnitude 5×104NC–1. Calculate the magnitude of the torque acting on the dipole.

An electric dipole with dipole moment $4 \times 10^{- 9}$ C m is aligned at $30^{\circ}$ with the direction of a uniform electric field of magnitude $5 \times 10^{4} N C^{- 1}$ . Calculate the magnitude of the torque acting on the dipole.