The capacitance (C) of a parallel plate capacitor can be calculated using the formula:

C = ε0 * (A/d)

where:
- ε0 is the permittivity of free space, which is approximately 8.85 x 10^-12 F/m,
- A is the area of one of the plates, which can be calculated using the formula for the area of a circle (πr^2), and
- d is the separation between the plates.

Given that the radius of the plates (r) is 0.1 m and the separation (d) is 0.2 cm (or 0.002 m), we can substitute these values into the formulas to find the capacitance.

First, calculate the area of one of the plates:

A = πr^2
A = π * (0.1 m)^2
A = 0.0314 m^2

Then, substitute the values for ε0, A, and d into the formula for capacitance:

C = ε0 * (A/d)
C = (8.85 x 10^-12 F/m) * (0.0314 m^2 / 0.002 m)
C = 1.39 x 10^-12 F

So, the capacitance of the capacitor is approximately 1.39 x 10^-12 F, or 0.00000000000139 F.

Question

The capacitance (C) of a parallel plate capacitor can be calculated using the formula:

C = ε0 * (A/d)

where:
- ε0 is the permittivity of free space, which is approximately 8.85 x 10^-12 F/m,
- A is the area of one of the plates, which can be calculated using the formula for the area of a circle (πr^2), and
- d is the separation between the plates.

Given that the radius of the plates (r) is 0.1 m and the separation (d) is 0.2 cm (or 0.002 m), we can substitute these values into the formulas to find the capacitance.

First, calculate the area of one of the plates:

A = πr^2
A = π * (0.1 m)^2
A = 0.0314 m^2

Then, substitute the values for ε0, A, and d into the formula for capacitance:

C = ε0 * (A/d)
C = (8.85 x 10^-12 F/m) * (0.0314 m^2 / 0.002 m)
C = 1.39 x 10^-12 F

So, the capacitance of the capacitor is approximately 1.39 x 10^-12 F, or 0.00000000000139 F.

Knowee AI · Accepted Answer

The capacitance (C) of a parallel plate capacitor can be calculated using the formula:

C = ε0 * (A/d)

where:
- ε0 is the permittivity of free space, which is approximately 8.85 x 10^-12 F/m,
- A is the area of one of the plates, which can be calculated using the formula for the area of a circle (πr^2), and
- d is the separation between the plates.

Given that the radius of the plates (r) is 0.1 m and the separation (d) is 0.2 cm (or 0.002 m), we can substitute these values into the formulas to find the capacitance.

First, calculate the area of one of the plates:

A = πr^2
A = π * (0.1 m)^2
A = 0.0314 m^2

Then, substitute the values for ε0, A, and d into the formula for capacitance:

C = ε0 * (A/d)
C = (8.85 x 10^-12 F/m) * (0.0314 m^2 / 0.002 m)
C = 1.39 x 10^-12 F

So, the capacitance of the capacitor is approximately 1.39 x 10^-12 F, or 0.00000000000139 F.

A parallel plate capacitor has circular plate of 0.1m radius and 0.2cm separation. Calculate the capacitance1 point0.000000000139 F0.000000000159 F0.00000000139 F000000000139 F

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