Force On Dipole

Question

An electric dipole of moment p is placed in a uniform electric field E. What is the maximum torque on it?

RankGuru · Accepted Answer

1. **Torque Vector**: $\vec{	au} = \vec{p} 	imes \vec{E}$.
2. **Magnitude**: $	au = pE \sin 	heta$.
3. **Maximization**: The sine function oscillates between $-1$ and $+1$. Its maximum value occurs when the angle $	heta = 90^\circ$ (or $270^\circ$).
4. **Calculation**: $	au_{max} = pE 	imes \sin(90^\circ) = pE 	imes 1 = pE$.
5. **Physical Meaning**: The torque attempts to align the dipole moment with the external electric field.

Rank Guru

Force On Dipole

Select the correct option:

Solution

🔒 Solution Hidden from View

About This Question

Solution