The capacitance of a spherical capacitor depends on which of the following? (201

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Question: The capacitance of a spherical capacitor depends on which of the following? (2019)

Options:

Correct Answer: Both radii

Exam Year: 2019

Solution:

The capacitance of a spherical capacitor depends on both the radius of the inner sphere and the outer sphere.

The capacitance of a spherical capacitor depends on which of the following? (2019)

The capacitance of a spherical capacitor depends on which of the following? (2019)

Step 1: Understand what a spherical capacitor is. It consists of two concentric spheres: an inner sphere and an outer sphere.
Step 2: Identify the two important measurements: the radius of the inner sphere (let's call it R1) and the radius of the outer sphere (let's call it R2).
Step 3: Recognize that the capacitance of a capacitor is a measure of its ability to store charge.
Step 4: Realize that for a spherical capacitor, the capacitance formula involves both R1 and R2.
Step 5: Conclude that the capacitance depends on both the radius of the inner sphere (R1) and the radius of the outer sphere (R2).

Capacitance of Spherical Capacitors – The capacitance of a spherical capacitor is determined by the radii of the inner and outer spheres, as well as the dielectric material between them.
Formula for Capacitance – The capacitance (C) of a spherical capacitor can be calculated using the formula C = 4πε₀ * (r₁ * r₂) / (r₂ - r₁), where r₁ is the radius of the inner sphere and r₂ is the radius of the outer sphere.