MCQPhysics

CBSE · Class 12 · Physics · Electric Charges and FieldsTwo point charges of $+1\ \mu\text{C}$ and $-1\ \mu\text{C}$ are separated by a distance of $2\text{ cm}$. What is the magnitude of the electric dipole moment of this system?

Step-by-Step Solution

The electric dipole moment ($p$) is given by the product of the magnitude of either charge ($q$) and the dipole length ($2a$):

$$p = q \times (2a)$$

Given:

  • Charge, $q = 1\ \mu\text{C} = 1 \times 10^{-6}\text{ C}$
  • Separation distance, $2a = 2\text{ cm} = 2 \times 10^{-2}\text{ m}$

Calculation: $$p = (1 \times 10^{-6}\text{ C}) \times (2 \times 10^{-2}\text{ m}) = 2 \times 10^{-8}\text{ C}\cdot\text{m}$$ \nTherefore, the correct option is $2 \times 10^{-8}\text{ C}\cdot\text{m}$.

Detailed Options Breakdown
Option : $2 \times 10^{-8}\text{ C}\cdot\text{m}$ (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 1: $1 \times 10^{-8}\text{ C}\cdot\text{m}$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electric Charges and Fields.

Option 2: $2 \times 10^{-6}\text{ C}\cdot\text{m}$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electric Charges and Fields.

Option 3: $4 \times 10^{-8}\text{ C}\cdot\text{m}$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electric Charges and Fields.

💡 Study Guide: This question tests core syllabus concepts from Electric Charges and Fields. For formulas, key summaries, and mock exam reference guides, read the full Electric Charges and Fields Revision Notes.
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