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NCERT · Class 12 · Physics · Electrostatic Potential and CapacitanceA parallel plate capacitor has a capacitance $C$ in air. If a medium of dielectric constant $K$ is completely filled between its plates, what will be the new capacitance?

Step-by-Step Solution

The capacitance of a parallel plate capacitor with air medium is given by: $$C = \frac{\varepsilon_0 A}{d}$$ \nWhen a dielectric medium of dielectric constant $K$ is completely introduced between the plates, the new capacitance $C'$ becomes: $$C' = \frac{K \varepsilon_0 A}{d} = KC$$ \nTherefore, the capacitance increases by a factor of $K$. Hence, the correct option is $KC$.

Detailed Options Breakdown
Option : $C/K$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electrostatic Potential and Capacitance.

Option 1: $KC$ (Correct Answer)

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

Option 2: $C + K$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electrostatic Potential and Capacitance.

Option 3: $C - K$

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Electrostatic Potential and Capacitance.

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