How to calculate capacitance of a spherical capacitor?

The capacitance of a spherical capacitor is calculated using the formula capacitance = dielectric constant * radius * radius / (Coulomb * (radius1 - radius2)), where radius1 (a) is the radius of the conducting sphere and radius2 (b) is the radius of the concentric conducting spherical shell. Capacitance of a Spherical Capacitor calculator uses this method to calculate the Capacitance.

What is a spherical capacitor calculator?

This spherical capacitor calculator will help you to find the optimal parameters for designing a spherical capacitor with a specific capacitance. Unlike the most common parallel-plate capacitor, spherical capacitors consist of two concentric spherical conducting shells separated by a dielectric.

How do you find the capacitance of a spherical sphere?

The capacitance for spherical or cylindrical conductors can be obtained by evaluating the voltage difference between the conductors for a given charge on each. By applying Gauss' law to an charged conducting sphere, the electric field outside it is found to be Does an isolated charged sphere have capacitance? Isolated Sphere Capacitor?

How do you find the capacitance of a capacitor?

To find the capacitance of a spherical capacitor, first, note down the inner and outer radii. Next, calculate the product of the relative permittivity, vacuum permittivity constants, and 4π. Then, subtract the reciprocal of the outer radius from the reciprocal of the inner radius of the sphere. Finally, divide the product by the subtracted value to obtain the capacitance.

How do you find the capacitance of a spherical conductor?

To find the capacitance of a spherical conductor, the voltage difference between the conductors for a given charge on each must be evaluated. This can be achieved by applying Gauss's law to a charged conducting sphere and integrating the electric field along a radial line to find the voltage between the spheres.

How to calculate specific capacitance?

The specific capacitance (C m) of the device is calculated using the equation: Cm = 4 I Δ t m Δ V. Here, I is the current density (A), Δt is the discharge time (sec), m is the active mass (g), and ΔV is the potential difference (V). The CV and GCD curves of the device at various scan rates and current densities are also provided.