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Torque on an electric dipole in a uniform field

This type of question, asked 5 times: 28 Jul 2022, 13 Apr 2023, 27 Jan 2024, 4 Apr 2025, 7 Apr 2025. All 5 questions below, oldest first.

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  1. Question 1

    28 Jul 2022

    26
    Two electric dipoles of dipole moments 1.2×10−30 cm1.2 \times10^{- 30}\text{ }cm and 2.4×10−30 cm2.4 \times10^{- 30}\text{ }cm are placed in two different uniform electric fields of strengths 5×104NC−15 \times10^{4}NC^{- 1} and 15×104NC−115 \times10^{4}NC^{- 1} respectively. The ratio of maximum torque experienced by the electric dipoles will be 1x\frac{1}{x}. The value of xx is
  2. Question 2

    13 Apr 2023

    10
    Two charges each of magnitude 0.01C0.01C and separated by a distance of 0.4 mm0.4\text{ }mm constitute an electric dipole. If the dipole is placed in an uniform electric field ' E→\overrightarrow{E} ' of 10 dyne/C making 30∘30^{\circ} angle with E→\overrightarrow{E}, the magnitude of torque acting on dipole is:

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  3. Question 3

    27 Jan 2024

    112
    Two charges of −4μC- 4\mu C and +4μC+ 4\mu C are placed at the points A(1,0,4)mA(1,0,4)m and B(2,−1,5)mB(2, - 1,5)m located in an electric field E→=0.20i^V/cm\overrightarrow{E}= 0.20\widehat{i}V/cm. The magnitude of the torque acting on the dipole is 8α×10−5Nm8\sqrt{\alpha}\times10^{- 5}Nm, Where α=\alpha = . ________
  4. Question 4

    4 Apr 2025

    19
    Two small spherical balls of mass 10 g each with charges −2μC- 2\mu C and 2μC2\mu C, are attached to two ends of very light rigid rod of length 20 cm . The arrangement is now placed near an infinite nonconducting charge sheet with uniform charge density of 100μC/m2100\mu C/m^{2} such that length of rod makes an angle of 30∘30^{\circ} with electric field generated by charge sheet. Net torque acting on the rod is: (Take ε0\varepsilon_{0} : 8.85×10−12C2/Nm28.85 \times10^{- 12}C^{2}/Nm^{2} )

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  5. Question 5

    7 Apr 2025

    85
    A dipole with two electric charges of 2μC2\mu C magnitude each, with separation distance 0.5μ m0.5\mu\text{ }m, is placed between the plates of a capacitor such that its axis is parallel to an electric field established between the plates when a potential difference of 5 V is applied. Separation between the plates is 0.5 mm . If the dipole is rotated by 30∘30^{\circ} from the axis, it tends to realign in the direction due to a torque. The value of torque is:

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