An electric dipole consists of two point charges +1 C and −1 C, hel...

Question

An electric dipole consists of two point charges +1 C and −1 C, held 10 cm apart. It is subjected to a uniform electric field of 100 N/C. Calculate the amount of work done in turning the dipole from its position of stable equilibrium to the position of unstable equilibrium, in the field.

Accepted Answer

Dipole moment: $p=q	imes d=1	imes0.1=0.1$ C·m (using the given charge and separation values as stated) Work done in rotating dipole from stable equilibrium ($	heta=0°$) to unstable equilibrium ($	heta=180°$): $$W=pE(\cos	heta_1-\cos	heta_2)=pE(\cos0°-\cos180°)=pE(1-(-1))=2pE$$ $$W=2	imes0.1	imes100=20	ext{ J}$$

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