COMEDK · Physics · 17. Electrostatics

Two-point charges of equal magnitude 0.01 C and opposite in sign are separated by 0.2mm, forming an electric dipole. The electric dipole moment of the dipole is:

A \(2 \times 10^{-6}\ Cm\) along the line joining the two charges and the direction of the dipole moment vector is from negative to positive 0.01 C
B \(4 \times 10^{-6}\ Cm\) along the line joining the two charges and the direction of the dipole moment vector is from positive to negative 0.01 C
C \(2 \times 10^{6}\ Cm\) along the line joining the two charges and the direction of the dipole moment vector is from positive to negative 0.01 C
D \(2 \times 10^{-3}\ Cm\) along the line joining the two charges and the direction of the dipole moment vector is from negative to positive 0.01 C

Verified Solution

Answer & Solution

Correct Answer

(A) \(2 \times 10^{-6}\ Cm\) along the line joining the two charges and the direction of the dipole moment vector is from negative to positive 0.01 C

Step-by-step Solution

Detailed explanation

Magnitude of charge, \(q = 0.01\text{ C} = 10^{-2}\text{ C}\) Separation between charges, \(d = 0.2\text{ mm} = 0.2 \times 10^{-3}\text{ m} = 2 \times 10^{-4}\text{ m}\) Electric dipole moment, \(p = q \times d\)…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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