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Electrostatics — Easy JEE physics MCQ

An electric dipole of moment \(\vec{p}\) is placed in a non-uniform electric field \(\vec{E} = E_0 x\hat{i}\), where \(E_0\) is a constant. If the dipole is aligned along the x-axis with its center at the origin, the net force on the dipole is:
  1. A. \(pE_0\)
  2. B. \(2pE_0\)
  3. C. \(\frac{pE_0}{2}\)
  4. D. Zero

Solution

For a dipole in a non-uniform electric field, the net force is: \[ F = p\frac{dE}{dx} \] Given \(E = E_0 x\): \[ \frac{dE}{dx} = E_0 \] Therefore: \[ F = p \cdot E_0 = pE_0 \] So the correct option is A.

PHYSICS

easy • PYQ Reworded
Question
Read carefully, then pick the best option.
An electric dipole of moment p⃗\vec{p} is placed in a non-uniform electric field E⃗=E0xi^\vec{E} = E_0 x\hat{i}, where E0E_0 is a constant. If the dipole is aligned along the x-axis with its center at the origin, the net force on the dipole is:
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