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An electric dipole is placed at an angle of 30° with an electric field intensity of 2 × 105 N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm

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प्रश्न

An electric dipole is placed at an angle of 30° with an electric field intensity of 2 × 105 N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is ______.

विकल्प

  • 7 μC

  • 8 mC

  • 2 mC

  • 5 mC

MCQ
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उत्तर

An electric dipole is placed at an angle of 30° with an electric field intensity of 2 × 105 N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is 2 mC.

Explanation:

We know,

τ = pE.sinθ

∴ p = `tau/("E".sintheta)`

q × 2l = `4/(2 xx 10^5 xx 0.5)` ............(∵ p = q × 2l)

∴ q = `4/(2 xx 10^5 xx 0.5 xx 0.02)` ....(∵ 2l = 0.02m given)

= 2 × 10-3 C

q = 2 mC

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