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Torque on a dipole in a uniform field (tau = pE sin theta)

This type of question, asked 4 times: 10 May 2024 S1, 21 Apr 2025 S1, 16 Apr 2026 S2, 17 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    10 May 2024 S1

    33
    An electric dipole consisting of two opposite charges of 2×10−62 \times 10^{-6} C separated by a distance of 3 cm is placed in an electric field of 2×1052 \times 10^{5} N/C. The maximum torque acting on the dipole is

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  2. Question 2

    21 Apr 2025 S1

    42
    An electric dipole having each charge of magnitude 2μC2\mu C is placed in an electric field of intensity 8×104 N/C8\times10^{4}\text{ }N/C. If the maximum torque acting on the dipole is 4×10−3 N−m4 \times10^{- 3}\text{ }N - m, the length of the dipole is

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  3. Question 3

    16 Apr 2026 S2

    126
    An electric dipole of length 0.5 μm0.5\ \mu\mathrm{m} is placed with its axis making an angle of 30∘30^\circ with uniform electric field 10410^4 V/m. If it experiences a torque of 5×10−95 \times 10^{-9} Nm, the magnitude of the charge on the dipole is (sin⁡30∘=0.5)(\sin 30^\circ = 0.5)

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  4. Question 4

    17 Apr 2026 S1

    126
    An electric dipole of length 3cm is placed with its axis making an angle of 60∘60^\circ with a uniform electric field of 5×1045 \times 10^4 N/C. It experiences a torque of 939\sqrt{3} Nm. The magnitude of charge on the dipole is (sin⁡60∘=32)\left(\sin 60^\circ = \dfrac{\sqrt{3}}{2}\right)

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