Capacitance of Spherical Capacitor Calculator

Calculate Capacitance







Formula

The formula to calculate the capacitance of a spherical capacitor is:

\[ C = \frac{\epsilon_r \cdot R_s \cdot a_{\text{shell}}}{[\text{Coulomb}] \cdot (a_{\text{shell}} - R_s)} \]

Where:

Definition

Capacitance is the ability of a system to store electric charge, typically measured in farads, and is a crucial concept in electrostatics.

Relative permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics.

The radius of the sphere is the radius of a sphere in electrostatics, used to calculate the electric field and potential at a point in space.

The radius of the shell is the distance from the center of the nucleus to the outermost electron in an atom, representing the outer boundary of an electron shell.

Example Calculation

Let's assume the following values:

Using the formula:

\[ C = \frac{4.5 \cdot 12,400,000 \cdot 27,600,000}{8.9875 \times 10^9 \cdot (27,600,000 - 12,400,000)} \approx 0.0113 \, \text{Farad} \]

The capacitance is approximately 0.0113 Farad.

Conversion Chart

Relative Permittivity Radius of Sphere (meters) Radius of Shell (meters) Capacitance (Farad)
4 12000000 27000000 0.0096
4 12000000 27100000 0.0096
4 12000000 27200000 0.0096
4 12000000 27300000 0.0095
4 12000000 27400000 0.0095
4 12000000 27500000 0.0095
4 12000000 27600000 0.0094
4 12000000 27700000 0.0094
4 12000000 27800000 0.0094
4 12000000 27900000 0.0094
4 12000000 28000000 0.0093
4 12100000 27000000 0.0098
4 12100000 27100000 0.0097
4 12100000 27200000 0.0097
4 12100000 27300000 0.0097
4 12100000 27400000 0.0096
4 12100000 27500000 0.0096
4 12100000 27600000 0.0096
4 12100000 27700000 0.0096
4 12100000 27800000 0.0095
4 12100000 27900000 0.0095
4 12100000 28000000 0.0095
4 12200000 27000000 0.0099
4 12200000 27100000 0.0099
4 12200000 27200000 0.0098
4 12200000 27300000 0.0098
4 12200000 27400000 0.0098
4 12200000 27500000 0.0098
4 12200000 27600000 0.0097
4 12200000 27700000 0.0097
4 12200000 27800000 0.0097
4 12200000 27900000 0.0096
4 12200000 28000000 0.0096
4 12300000 27000000 0.0101
4 12300000 27100000 0.0100
4 12300000 27200000 0.0100
4 12300000 27300000 0.0100
4 12300000 27400000 0.0099
4 12300000 27500000 0.0099
4 12300000 27600000 0.0099
4 12300000 27700000 0.0098
4 12300000 27800000 0.0098
4 12300000 27900000 0.0098
4 12300000 28000000 0.0098
4 12400000 27000000 0.0102
4 12400000 27100000 0.0102
4 12400000 27200000 0.0101
4 12400000 27300000 0.0101
4 12400000 27400000 0.0101
4 12400000 27500000 0.0101
4 12400000 27600000 0.0100
4 12400000 27700000 0.0100
4 12400000 27800000 0.0100
4 12400000 27900000 0.0099
4 12400000 28000000 0.0099
4 12500000 27000000 0.0104
4 12500000 27100000 0.0103
4 12500000 27200000 0.0103
4 12500000 27300000 0.0103
4 12500000 27400000 0.0102
4 12500000 27500000 0.0102
4 12500000 27600000 0.0102
4 12500000 27700000 0.0101
4 12500000 27800000 0.0101
4 12500000 27900000 0.0101
4 12500000 28000000 0.0100
4 12600000 27000000 0.0105
4 12600000 27100000 0.0105
4 12600000 27200000 0.0104
4 12600000 27300000 0.0104
4 12600000 27400000 0.0104
4 12600000 27500000 0.0103
4 12600000 27600000 0.0103
4 12600000 27700000 0.0103
4 12600000 27800000 0.0103
4 12600000 27900000 0.0102
4 12600000 28000000 0.0102
4 12700000 27000000 0.0107
4 12700000 27100000 0.0106
4 12700000 27200000 0.0106
4 12700000 27300000 0.0106
4 12700000 27400000 0.0105
4 12700000 27500000 0.0105
4 12700000 27600000 0.0105
4 12700000 27700000 0.0104
4 12700000 27800000 0.0104
4 12700000 27900000 0.0104
4 12700000 28000000 0.0103
4 12800000 27000000 0.0108
4 12800000 27100000 0.0108
4 12800000 27200000 0.0108
4 12800000 27300000 0.0107
4 12800000 27400000 0.0107
4 12800000 27500000 0.0107
4 12800000 27600000 0.0106
4 12800000 27700000 0.0106
4 12800000 27800000 0.0106
4 12800000 27900000 0.0105
4 12800000 28000000 0.0105
4 12900000 27000000 0.0110
4 12900000 27100000 0.0110
4 12900000 27200000 0.0109
4 12900000 27300000 0.0109
4 12900000 27400000 0.0108
4 12900000 27500000 0.0108
4 12900000 27600000 0.0108
4 12900000 27700000 0.0107
4 12900000 27800000 0.0107
4 12900000 27900000 0.0107
4 12900000 28000000 0.0106
4 13000000 27000000 0.0112
4 13000000 27100000 0.0111
4 13000000 27200000 0.0111
4 13000000 27300000 0.0110
4 13000000 27400000 0.0110
4 13000000 27500000 0.0110
4 13000000 27600000 0.0109
4 13000000 27700000 0.0109
4 13000000 27800000 0.0109
4 13000000 27900000 0.0108
4 13000000 28000000 0.0108
4.1 12000000 27000000 0.0099
4.1 12000000 27100000 0.0098
4.1 12000000 27200000 0.0098
4.1 12000000 27300000 0.0098
4.1 12000000 27400000 0.0097
4.1 12000000 27500000 0.0097
4.1 12000000 27600000 0.0097
4.1 12000000 27700000 0.0097
4.1 12000000 27800000 0.0096
4.1 12000000 27900000 0.0096
4.1 12000000 28000000 0.0096
4.1 12100000 27000000 0.0100
4.1 12100000 27100000 0.0100
4.1 12100000 27200000 0.0099
4.1 12100000 27300000 0.0099
4.1 12100000 27400000 0.0099
4.1 12100000 27500000 0.0099
4.1 12100000 27600000 0.0098
4.1 12100000 27700000 0.0098
4.1 12100000 27800000 0.0098
4.1 12100000 27900000 0.0097
4.1 12100000 28000000 0.0097
4.1 12200000 27000000 0.0102
4.1 12200000 27100000 0.0101
4.1 12200000 27200000 0.0101
4.1 12200000 27300000 0.0101
4.1 12200000 27400000 0.0100
4.1 12200000 27500000 0.0100
4.1 12200000 27600000 0.0100
4.1 12200000 27700000 0.0099
4.1 12200000 27800000 0.0099
4.1 12200000 27900000 0.0099
4.1 12200000 28000000 0.0099
4.1 12300000 27000000 0.0103
4.1 12300000 27100000 0.0103
4.1 12300000 27200000 0.0102
4.1 12300000 27300000 0.0102
4.1 12300000 27400000 0.0102
4.1 12300000 27500000 0.0102
4.1 12300000 27600000 0.0101
4.1 12300000 27700000 0.0101
4.1 12300000 27800000 0.0101
4.1 12300000 27900000 0.0100
4.1 12300000 28000000 0.0100
4.1 12400000 27000000 0.0105
4.1 12400000 27100000 0.0104
4.1 12400000 27200000 0.0104
4.1 12400000 27300000 0.0104
4.1 12400000 27400000 0.0103
4.1 12400000 27500000 0.0103
4.1 12400000 27600000 0.0103
4.1 12400000 27700000 0.0102
4.1 12400000 27800000 0.0102
4.1 12400000 27900000 0.0102
4.1 12400000 28000000 0.0102
4.1 12500000 27000000 0.0106
4.1 12500000 27100000 0.0106
4.1 12500000 27200000 0.0106
4.1 12500000 27300000 0.0105
4.1 12500000 27400000 0.0105
4.1 12500000 27500000 0.0105
4.1 12500000 27600000 0.0104
4.1 12500000 27700000 0.0104
4.1 12500000 27800000 0.0104
4.1 12500000 27900000 0.0103
4.1 12500000 28000000 0.0103
4.1 12600000 27000000 0.0108
4.1 12600000 27100000 0.0107
4.1 12600000 27200000 0.0107
4.1 12600000 27300000 0.0107
4.1 12600000 27400000 0.0106
4.1 12600000 27500000 0.0106
4.1 12600000 27600000 0.0106
4.1 12600000 27700000 0.0105
4.1 12600000 27800000 0.0105
4.1 12600000 27900000 0.0105
4.1 12600000 28000000 0.0105
4.1 12700000 27000000 0.0109
4.1 12700000 27100000 0.0109
4.1 12700000 27200000 0.0109
4.1 12700000 27300000 0.0108
4.1 12700000 27400000 0.0108
4.1 12700000 27500000 0.0108
4.1 12700000 27600000 0.0107
4.1 12700000 27700000 0.0107
4.1 12700000 27800000 0.0107
4.1 12700000 27900000 0.0106
4.1 12700000 28000000 0.0106
4.1 12800000 27000000 0.0111
4.1 12800000 27100000 0.0111
4.1 12800000 27200000 0.0110
4.1 12800000 27300000 0.0110
4.1 12800000 27400000 0.0110
4.1 12800000 27500000 0.0109
4.1 12800000 27600000 0.0109
4.1 12800000 27700000 0.0109
4.1 12800000 27800000 0.0108
4.1 12800000 27900000 0.0108
4.1 12800000 28000000 0.0108
4.1 12900000 27000000 0.0113
4.1 12900000 27100000 0.0112
4.1 12900000 27200000 0.0112
4.1 12900000 27300000 0.0112
4.1 12900000 27400000 0.0111
4.1 12900000 27500000 0.0111
4.1 12900000 27600000 0.0110
4.1 12900000 27700000 0.0110
4.1 12900000 27800000 0.0110
4.1 12900000 27900000 0.0109
4.1 12900000 28000000 0.0109
4.1 13000000 27000000 0.0114
4.1 13000000 27100000 0.0114
4.1 13000000 27200000 0.0114
4.1 13000000 27300000 0.0113
4.1 13000000 27400000 0.0113
4.1 13000000 27500000 0.0112
4.1 13000000 27600000 0.0112
4.1 13000000 27700000 0.0112
4.1 13000000 27800000 0.0111
4.1 13000000 27900000 0.0111
4.1 13000000 28000000 0.0111
4.2 12000000 27000000 0.0101
4.2 12000000 27100000 0.0101
4.2 12000000 27200000 0.0100
4.2 12000000 27300000 0.0100
4.2 12000000 27400000 0.0100
4.2 12000000 27500000 0.0099
4.2 12000000 27600000 0.0099
4.2 12000000 27700000 0.0099
4.2 12000000 27800000 0.0099
4.2 12000000 27900000 0.0098
4.2 12000000 28000000 0.0098
4.2 12100000 27000000 0.0102
4.2 12100000 27100000 0.0102
4.2 12100000 27200000 0.0102
4.2 12100000 27300000 0.0102
4.2 12100000 27400000 0.0101
4.2 12100000 27500000 0.0101
4.2 12100000 27600000 0.0101
4.2 12100000 27700000 0.0100
4.2 12100000 27800000 0.0100
4.2 12100000 27900000 0.0100
4.2 12100000 28000000 0.0100
4.2 12200000 27000000 0.0104
4.2 12200000 27100000 0.0104
4.2 12200000 27200000 0.0103
4.2 12200000 27300000 0.0103
4.2 12200000 27400000 0.0103
4.2 12200000 27500000 0.0102
4.2 12200000 27600000 0.0102
4.2 12200000 27700000 0.0102
4.2 12200000 27800000 0.0102
4.2 12200000 27900000 0.0101
4.2 12200000 28000000 0.0101
4.2 12300000 27000000 0.0106
4.2 12300000 27100000 0.0105
4.2 12300000 27200000 0.0105
4.2 12300000 27300000 0.0105
4.2 12300000 27400000 0.0104
4.2 12300000 27500000 0.0104
4.2 12300000 27600000 0.0104
4.2 12300000 27700000 0.0103
4.2 12300000 27800000 0.0103
4.2 12300000 27900000 0.0103
4.2 12300000 28000000 0.0103
4.2 12400000 27000000 0.0107
4.2 12400000 27100000 0.0107
4.2 12400000 27200000 0.0106
4.2 12400000 27300000 0.0106
4.2 12400000 27400000 0.0106
4.2 12400000 27500000 0.0106
4.2 12400000 27600000 0.0105
4.2 12400000 27700000 0.0105
4.2 12400000 27800000 0.0105
4.2 12400000 27900000 0.0104
4.2 12400000 28000000 0.0104
4.2 12500000 27000000 0.0109
4.2 12500000 27100000 0.0108
4.2 12500000 27200000 0.0108
4.2 12500000 27300000 0.0108
4.2 12500000 27400000 0.0107
4.2 12500000 27500000 0.0107
4.2 12500000 27600000 0.0107
4.2 12500000 27700000 0.0106
4.2 12500000 27800000 0.0106
4.2 12500000 27900000 0.0106
4.2 12500000 28000000 0.0106
4.2 12600000 27000000 0.0110
4.2 12600000 27100000 0.0110
4.2 12600000 27200000 0.0110
4.2 12600000 27300000 0.0109
4.2 12600000 27400000 0.0109
4.2 12600000 27500000 0.0109
4.2 12600000 27600000 0.0108
4.2 12600000 27700000 0.0108
4.2 12600000 27800000 0.0108
4.2 12600000 27900000 0.0107
4.2 12600000 28000000 0.0107
4.2 12700000 27000000 0.0112
4.2 12700000 27100000 0.0112
4.2 12700000 27200000 0.0111
4.2 12700000 27300000 0.0111
4.2 12700000 27400000 0.0111
4.2 12700000 27500000 0.0110
4.2 12700000 27600000 0.0110
4.2 12700000 27700000 0.0110
4.2 12700000 27800000 0.0109
4.2 12700000 27900000 0.0109
4.2 12700000 28000000 0.0109
4.2 12800000 27000000 0.0114
4.2 12800000 27100000 0.0113
4.2 12800000 27200000 0.0113
4.2 12800000 27300000 0.0113
4.2 12800000 27400000 0.0112
4.2 12800000 27500000 0.0112
4.2 12800000 27600000 0.0112
4.2 12800000 27700000 0.0111
4.2 12800000 27800000 0.0111
4.2 12800000 27900000 0.0111
4.2 12800000 28000000 0.0110
4.2 12900000 27000000 0.0115
4.2 12900000 27100000 0.0115
4.2 12900000 27200000 0.0115
4.2 12900000 27300000 0.0114
4.2 12900000 27400000 0.0114
4.2 12900000 27500000 0.0114
4.2 12900000 27600000 0.0113
4.2 12900000 27700000 0.0113
4.2 12900000 27800000 0.0112
4.2 12900000 27900000 0.0112
4.2 12900000 28000000 0.0112
4.2 13000000 27000000 0.0117
4.2 13000000 27100000 0.0117
4.2 13000000 27200000 0.0116
4.2 13000000 27300000 0.0116
4.2 13000000 27400000 0.0116
4.2 13000000 27500000 0.0115
4.2 13000000 27600000 0.0115
4.2 13000000 27700000 0.0114
4.2 13000000 27800000 0.0114
4.2 13000000 27900000 0.0114
4.2 13000000 28000000 0.0113
4.3 12000000 27000000 0.0103
4.3 12000000 27100000 0.0103
4.3 12000000 27200000 0.0103
4.3 12000000 27300000 0.0102
4.3 12000000 27400000 0.0102
4.3 12000000 27500000 0.0102
4.3 12000000 27600000 0.0102
4.3 12000000 27700000 0.0101
4.3 12000000 27800000 0.0101
4.3 12000000 27900000 0.0101
4.3 12000000 28000000 0.0100
4.3 12100000 27000000 0.0105
4.3 12100000 27100000 0.0105
4.3 12100000 27200000 0.0104
4.3 12100000 27300000 0.0104
4.3 12100000 27400000 0.0104
4.3 12100000 27500000 0.0103
4.3 12100000 27600000 0.0103
4.3 12100000 27700000 0.0103
4.3 12100000 27800000 0.0103
4.3 12100000 27900000 0.0102
4.3 12100000 28000000 0.0102
4.3 12200000 27000000 0.0106
4.3 12200000 27100000 0.0106
4.3 12200000 27200000 0.0106
4.3 12200000 27300000 0.0106
4.3 12200000 27400000 0.0105
4.3 12200000 27500000 0.0105
4.3 12200000 27600000 0.0105
4.3 12200000 27700000 0.0104
4.3 12200000 27800000 0.0104
4.3 12200000 27900000 0.0104
4.3 12200000 28000000 0.0103
4.3 12300000 27000000 0.0108
4.3 12300000 27100000 0.0108
4.3 12300000 27200000 0.0107
4.3 12300000 27300000 0.0107
4.3 12300000 27400000 0.0107
4.3 12300000 27500000 0.0106
4.3 12300000 27600000 0.0106
4.3 12300000 27700000 0.0106
4.3 12300000 27800000 0.0106
4.3 12300000 27900000 0.0105
4.3 12300000 28000000 0.0105
4.3 12400000 27000000 0.0110
4.3 12400000 27100000 0.0109
4.3 12400000 27200000 0.0109
4.3 12400000 27300000 0.0109
4.3 12400000 27400000 0.0108
4.3 12400000 27500000 0.0108
4.3 12400000 27600000 0.0108
4.3 12400000 27700000 0.0107
4.3 12400000 27800000 0.0107
4.3 12400000 27900000 0.0107
4.3 12400000 28000000 0.0106
4.3 12500000 27000000 0.0111
4.3 12500000 27100000 0.0111
4.3 12500000 27200000 0.0111
4.3 12500000 27300000 0.0110
4.3 12500000 27400000 0.0110
4.3 12500000 27500000 0.0110
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4.3 12500000 28000000 0.0108
4.3 12600000 27000000 0.0113
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4.3 12600000 27200000 0.0112
4.3 12600000 27300000 0.0112
4.3 12600000 27400000 0.0112
4.3 12600000 27500000 0.0111
4.3 12600000 27600000 0.0111
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4.3 12600000 27900000 0.0110
4.3 12600000 28000000 0.0110
4.3 12700000 27000000 0.0115
4.3 12700000 27100000 0.0114
4.3 12700000 27200000 0.0114
4.3 12700000 27300000 0.0114
4.3 12700000 27400000 0.0113
4.3 12700000 27500000 0.0113
4.3 12700000 27600000 0.0113
4.3 12700000 27700000 0.0112
4.3 12700000 27800000 0.0112
4.3 12700000 27900000 0.0112
4.3 12700000 28000000 0.0111
4.3 12800000 27000000 0.0116
4.3 12800000 27100000 0.0116
4.3 12800000 27200000 0.0116
4.3 12800000 27300000 0.0115
4.3 12800000 27400000 0.0115
4.3 12800000 27500000 0.0115
4.3 12800000 27600000 0.0114
4.3 12800000 27700000 0.0114
4.3 12800000 27800000 0.0113
4.3 12800000 27900000 0.0113
4.3 12800000 28000000 0.0113
4.3 12900000 27000000 0.0118
4.3 12900000 27100000 0.0118
4.3 12900000 27200000 0.0117
4.3 12900000 27300000 0.0117
4.3 12900000 27400000 0.0117
4.3 12900000 27500000 0.0116
4.3 12900000 27600000 0.0116
4.3 12900000 27700000 0.0116
4.3 12900000 27800000 0.0115
4.3 12900000 27900000 0.0115
4.3 12900000 28000000 0.0114
4.3 13000000 27000000 0.0120
4.3 13000000 27100000 0.0120
4.3 13000000 27200000 0.0119
4.3 13000000 27300000 0.0119
4.3 13000000 27400000 0.0118
4.3 13000000 27500000 0.0118
4.3 13000000 27600000 0.0118
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4.3 13000000 27900000 0.0116
4.3 13000000 28000000 0.0116
4.4 12000000 27000000 0.0106
4.4 12000000 27100000 0.0105
4.4 12000000 27200000 0.0105
4.4 12000000 27300000 0.0105
4.4 12000000 27400000 0.0105
4.4 12000000 27500000 0.0104
4.4 12000000 27600000 0.0104
4.4 12000000 27700000 0.0104
4.4 12000000 27800000 0.0103
4.4 12000000 27900000 0.0103
4.4 12000000 28000000 0.0103
4.4 12100000 27000000 0.0107
4.4 12100000 27100000 0.0107
4.4 12100000 27200000 0.0107
4.4 12100000 27300000 0.0106
4.4 12100000 27400000 0.0106
4.4 12100000 27500000 0.0106
4.4 12100000 27600000 0.0105
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4.4 12100000 28000000 0.0104
4.4 12200000 27000000 0.0109
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4.4 12200000 27200000 0.0108
4.4 12200000 27300000 0.0108
4.4 12200000 27400000 0.0108
4.4 12200000 27500000 0.0107
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4.4 12300000 27200000 0.0110
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4.4 12300000 27400000 0.0109
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4.4 12400000 27000000 0.0112
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4.4 12400000 27200000 0.0112
4.4 12400000 27300000 0.0111
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4.4 12500000 27000000 0.0114
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4.4 12600000 27400000 0.0114
4.4 12600000 27500000 0.0114
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4.4 12800000 27000000 0.0119
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4.4 12800000 27200000 0.0118
4.4 12800000 27300000 0.0118
4.4 12800000 27400000 0.0118
4.4 12800000 27500000 0.0117
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4.4 12800000 27700000 0.0116
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4.4 12800000 27900000 0.0116
4.4 12800000 28000000 0.0115
4.4 12900000 27000000 0.0121
4.4 12900000 27100000 0.0121
4.4 12900000 27200000 0.0120
4.4 12900000 27300000 0.0120
4.4 12900000 27400000 0.0119
4.4 12900000 27500000 0.0119
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4.4 12900000 27900000 0.0117
4.4 12900000 28000000 0.0117
4.4 13000000 27000000 0.0123
4.4 13000000 27100000 0.0122
4.4 13000000 27200000 0.0122
4.4 13000000 27300000 0.0122
4.4 13000000 27400000 0.0121
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