An electric dipole consists of two unlike charges of magnitude 2 × 10

1.	An electric dipole consists of two unlike charges of magnitude 2 × 10-6 C separated by 4 cm. The dipole is placed in an external field of 105 N/C. Find the work done by an external agent to turn the dipole through 180°.
Answer» Data: q = 2 × 10^-6, 2l = 4cm = 4 × 10^-2 m. E = 10⁵ N/C, θ = 180° + θ₀ Let us assume the dipole is initially aligned parallel to the field, i.e., θ₀ = 0. Then, θ = 180°. The work done by an external agent, W = pE(1 – cos θ) = q (2l) E(1 – cos 180°) = (2 × 10^-6 C)(4 × 10^-2m)(10⁵ N/C) [1 – (-1)] = 16 × 10^-3 J

An electric dipole consists of two unlike charges of magnitude 2 × 10-6 C separated by 4 cm. The dipole is placed in an external field of 105 N/C. Find the work done by an external agent to turn the dipole through 180°.

Answer»

Data: q = 2 × 10^-6,

2l = 4cm = 4 × 10^-2 m.

E = 10⁵ N/C,

θ = 180° + θ₀

Let us assume the dipole is initially aligned parallel to the field, i.e., θ₀ = 0.

Then, θ = 180°.

The work done by an external agent,

W = pE(1 – cos θ)

= q (2l) E(1 – cos 180°)

= (2 × 10^-6 C)(4 × 10^-2m)(10⁵ N/C) [1 – (-1)]

= 16 × 10^-3 J

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An electric dipole consists of two unlike charges of magnitude 2 × 10-6 C separated by 4 cm. The dipole is placed in an external field of 105 N/C. Find the work done by an external agent to turn the dipole through 180°.

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