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A dipole is placed in a uniform electric field. What is the torque experienced b

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Question: A dipole is placed in a uniform electric field. What is the torque experienced by the dipole? (2023)

Options:

  1. pE
  2. pE sin(θ)
  3. pE cos(θ)
  4. Zero

Correct Answer: pE sin(θ)

Exam Year: 2023

Solution: 

The torque (τ) experienced by a dipole in a uniform electric field is given by τ = pE sin(θ), where p is the dipole moment and θ is the angle between p and E.

A dipole is placed in a uniform electric field. What is the torque experienced b

Practice Questions

Q1
A dipole is placed in a uniform electric field. What is the torque experienced by the dipole? (2023)
  1. pE
  2. pE sin(θ)
  3. pE cos(θ)
  4. Zero

Questions & Step-by-Step Solutions

A dipole is placed in a uniform electric field. What is the torque experienced by the dipole? (2023)
  • Step 1: Understand what a dipole is. A dipole consists of two equal and opposite charges separated by a distance.
  • Step 2: Know what an electric field is. A uniform electric field is a region where a charged particle experiences a constant force.
  • Step 3: Identify the dipole moment (p). The dipole moment is a vector quantity that represents the strength and direction of the dipole.
  • Step 4: Recognize the angle (θ). This is the angle between the dipole moment (p) and the electric field (E).
  • Step 5: Use the formula for torque (τ). The torque experienced by the dipole in the electric field is calculated using the formula τ = pE sin(θ).
  • Step 6: Substitute the values. If you know the values of p, E, and θ, you can plug them into the formula to find the torque.
  • Torque on a Dipole – The torque experienced by a dipole in an electric field depends on the dipole moment, the strength of the electric field, and the angle between them.
  • Dipole Moment – The dipole moment (p) is a vector quantity that represents the strength and direction of a dipole.
  • Electric Field – A uniform electric field (E) is a field where the electric force is constant in magnitude and direction throughout the region.
  • Angle Dependency – The torque is maximized when the angle (θ) between the dipole moment and the electric field is 90 degrees (sin(θ) = 1).
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