The Question is from neet-physics electrostatics different-types-of-capacitor, and it was created by the author SUBHANI

Question

Which of the following is NOT a factor affecting the capacitance of a capacitor?

SUBHANI · Accepted Answer

## CORE INFORMATION
✓ **Answer**: D
## CONCEPT FRAMEWORK
 **Primary Concept**: Capacitance of a capacitor
 **Related Topics**: Electric field, dielectric materials
 **Prerequisites**: Understanding of electric fields, charge, and permittivity.
## SOLUTION PATHWAY
**Given Information**:
The question asks to identify the factor that does NOT affect the capacitance of a capacitor.
**Method & Steps**:
The capacitance (C) of a parallel plate capacitor is given by the formula:
1. $C = \frac{εA}{d}$ 
where:
* $ε$ is the permittivity of the dielectric material between the plates
* $A$ is the area of the plates
* $d$ is the distance between the plates
From the formula, it's clear that the capacitance is directly proportional to the area of the plates ($A$) and the permittivity ($ε$), and inversely proportional to the distance between the plates ($d$).  The charge stored ($Q$) on the plates is related to the capacitance and voltage ($V$) by the equation $Q = CV$.  Therefore, the charge stored is a consequence of the capacitance, not a factor determining it.
2. Analyzing each option:
    * A. Area of the plates: Directly affects capacitance (larger area, larger capacitance).
    * B. Distance between the plates: Inversely affects capacitance (smaller distance, larger capacitance).
    * C. Dielectric constant of the material between the plates: Directly affects capacitance (higher dielectric constant, larger capacitance).  The permittivity (ε) is related to the dielectric constant (κ) by ε = κε₀, where ε₀ is the permittivity of free space.
    * D. Charge stored on the plates: Does not affect the capacitance. Capacitance is a geometrical property of the capacitor itself. The charge stored depends on the capacitance and the applied voltage.
3. Conclusion:
The charge stored on the plates ($Q$) is a consequence of the capacitance, voltage, and not a determining factor of the capacitance itself. 
## OPTION ANALYSIS
A :x: Area of the plates directly affects capacitance.
B :x: Distance between the plates inversely affects capacitance.
C :x: Dielectric constant directly affects capacitance.
D ✓: Charge stored on the plates does not affect the inherent capacitance of the capacitor. 
## LEARNING AIDS
 **Common Mistakes**:
  1.Confusing capacitance with charge: Capacitance is a property of the capacitor itself, while charge is the amount of electricity stored in the capacitor.
  2.Ignoring the dielectric constant: The material between the plates significantly influences the capacitance.
 **Quick Tips**:
  1.Remember the formula $C = \frac{εA}{d}$ to quickly identify the factors affecting capacitance.
  2.Capacitance is a measure of a capacitor's ability to store charge, not the amount of charge it currently holds.

SUBHANI · Answer

Area of the plates

SUBHANI · Answer

Distance between the plates

SUBHANI · Answer

Dielectric constant of the material between the plates

SUBHANI · Answer

The correct Option is "Charge stored on the plates"

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