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GUJCET · Physics · Electrostatic Potential and Capacitance
An electric dipole of dipole moment \(\vec{P}\) is placed parallel to the uniform electric field of intensity \(\vec{E}\). On rotating it through \(180^{\circ}\), the amount of work done is _________.
- A \(2 p E\)
- B zero
- C \(p E\)
- D \(-2 p E\)
Answer & Solution
Correct Answer
(A) \(2 p E\)
Step-by-step Solution
Detailed explanation
(A)
The work done to move an electric dipole in a uniform electric field from \(\theta_1\) to \(\theta_2\)
\(\begin{array}{l} W =p E \left(\cos \theta_1-\cos \theta_2\right) \\ W =p E \left(\cos 0^{\circ}-\cos 180^{\circ}\right) \\ W =p E [1-(-1)] \\ W =2 p E \end{array}\)
The work done to move an electric dipole in a uniform electric field from \(\theta_1\) to \(\theta_2\)
\(\begin{array}{l} W =p E \left(\cos \theta_1-\cos \theta_2\right) \\ W =p E \left(\cos 0^{\circ}-\cos 180^{\circ}\right) \\ W =p E [1-(-1)] \\ W =2 p E \end{array}\)
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