Q.

An electric dipole consists of two equal and opposite charges placed 2 cm apart. When the dipole is placed in a uniform electric field of strength 105 NC-1 , it experiencesa maximum torque of 0.2 × 10-3 Nm. Find the magnitude of each charge.

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a

20 μC

b

10 μC

c

15 μC

d

40 μC

answer is B.

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Detailed Solution

Here, 2a=2 cm=0.02 m,τmax=0.2×10-3Nm  and E=105NC-1  Now, maximum torque on the dipole,  τmax=pE=q(2a)×E ∴  q=τmax(2a)E=0.2×10-30.02×105=10-7C=10μC
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An electric dipole consists of two equal and opposite charges placed 2 cm apart. When the dipole is placed in a uniform electric field of strength 105 NC-1 , it experiencesa maximum torque of 0.2 × 10-3 Nm. Find the magnitude of each charge.