What is the capacitance of a spherical capacitor with inner radius a and outer r
Practice Questions
Q1
What is the capacitance of a spherical capacitor with inner radius a and outer radius b? (2023)
4πε₀ab/(b-a)
4πε₀/(1/a - 1/b)
4πε₀/(a+b)
4πε₀/(b-a)
Questions & Step-by-Step Solutions
What is the capacitance of a spherical capacitor with inner radius a and outer radius b? (2023)
Step 1: Understand what a spherical capacitor is. It consists of two concentric spherical conductors: one with radius 'a' (inner) and the other with radius 'b' (outer).
Step 2: Know that capacitance (C) is a measure of how much electric charge a capacitor can store per unit voltage.
Step 3: Recall the formula for the capacitance of a spherical capacitor: C = 4πε₀ab/(b-a).
Step 4: Identify the variables in the formula: ε₀ is the permittivity of free space, 'a' is the inner radius, and 'b' is the outer radius.
Step 5: Plug in the values of 'a' and 'b' into the formula to calculate the capacitance.
