Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The capacity of the conductor does not depend upon
Text Solution
Verified by ExpertsThe correct answer is:
A
The capacitance of a conductor is defined as the ability of the conductor to store electric charge per unit voltage, expressed mathematically as:
$$ C = \frac{Q}{V} $$
where $C$ is the capacitance, $Q$ is the charge stored, and $V$ is the voltage across the conductor.
From the formula, we can see that capacitance is directly related to the charge $Q$ and the voltage $V$. Additionally, the capacitance depends on the physical dimensions and nature of the material used for the conductor (such as dielectric properties). Hence, both charge and voltage affect capacitance.
Therefore, among the options given:
- Option A (Charge) affects capacitance.
- Option B (Voltage) also affects capacitance.
- Option C (Nature of the material) affects capacitance since different materials have different dielectric constants.
Hence, capacitance does not depend on a standalone charge or voltage but is defined by their relationship. The correct answer is:
Option A: Charge, as capacitance does indeed depend on the charge stored but is not solely defined by it.
$$ C = \frac{Q}{V} $$
where $C$ is the capacitance, $Q$ is the charge stored, and $V$ is the voltage across the conductor.
From the formula, we can see that capacitance is directly related to the charge $Q$ and the voltage $V$. Additionally, the capacitance depends on the physical dimensions and nature of the material used for the conductor (such as dielectric properties). Hence, both charge and voltage affect capacitance.
Therefore, among the options given:
- Option A (Charge) affects capacitance.
- Option B (Voltage) also affects capacitance.
- Option C (Nature of the material) affects capacitance since different materials have different dielectric constants.
Hence, capacitance does not depend on a standalone charge or voltage but is defined by their relationship. The correct answer is:
Option A: Charge, as capacitance does indeed depend on the charge stored but is not solely defined by it.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The capacity of a parallel plate condenser is . When a glass plate is placed between the plates of…
A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then sli…
The energy of a charged capacitor is given by the expression ( $\alpha$ = charge on the conductor a…
The capacity of a condenser is $4 \times 10^{-6}$ farad and its potential is 100 volts . The energy…
The insulated spheres of radii $R_1$ and $R_2$ having charges $Q_1$ and $Q_2$ respectively are conn…
In a charged capacitor, the energy resides