An electric dipole of dipole moment vec p is placed in a uniform electric field vec E. Find the maximum torque experienced by the dipole.

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When an electric dipole of dipole moment vector p is placed in a uniform electric field vector E, it experiences a torque given by the formula:

τ = p × E

where τ is the torque vector, p is the dipole moment vector, and E is the electric field vector.

The magnitude of the torque is given by:

|τ| = p E sin θ

where θ is the angle between the dipole moment vector and the electric field vector.

The maximum torque occurs when the dipole moment vector is perpendicular to the electric field vector, i.e., when θ = 90 degrees. In this case, sin θ = 1, and the magnitude of the torque is:

|τ|max = p E

Therefore, the maximum torque experienced by the dipole is equal to the product of the dipole moment and the electric field strength.

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An electric dipole of dipole moment vec p is placed in a uniform electric field vec E. Find the maximum torque experienced by the dipole.

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An electric dipole of dipole moment vec p is placed in a uniform electric field vec E. Find the maximum torque experienced by the dipole.

CBSE CLASS XII Related Questions

2.Assertion : Photoelectric effect is a spontaneous phenomenon. Reason (R): According to the wave picture of radiation, an electron would take hours/days to absorb sufficient energy to overcome the work function and come out from a metal surface.

3.Assertion : In Young’s double-slit experiment, the fringe width for dark and bright fringes is the same. Reason (R): Fringe width is given by \( \beta = \frac{\lambda D}{d} \), where symbols have their usual meanings.

4.In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

5.The electric potential (V ) and electric field (⃗ E) are closely related concepts in electrostatics. The electric field is a vector quantity that represents the

6.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

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SUBSCRIBE TO OUR NEWS LETTER

2.
Assertion : Photoelectric effect is a spontaneous phenomenon. Reason (R): According to the wave picture of radiation, an electron would take hours/days to absorb sufficient energy to overcome the work function and come out from a metal surface.

3.
Assertion : In Young’s double-slit experiment, the fringe width for dark and bright fringes is the same. Reason (R): Fringe width is given by \( \beta = \frac{\lambda D}{d} \), where symbols have their usual meanings.

4.
In a Young's double-slit experiment, two waves each of intensity I superpose each other and produce an interference pattern. Prove that the resultant intensities at maxima and minima are 4I and zero respectively.

5.
The electric potential (V ) and electric field (⃗ E) are closely related concepts in electrostatics. The electric field is a vector quantity that represents the

6.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now: