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cheatsheet for electrostatics
Basic notations
K of vacuum |
9 x 109 |
E |
electric field |
q |
charge |
r |
distance between 2 charges |
a |
radius of circle |
V |
electrical potential due to a point charge |
U |
electric potential energy |
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Electric field due to point charge
E due to a spherical shell of charge
When point is outside the shell |
E = Kq/r2 |
When point is inside the shell |
E = 0 |
When point is on the surface |
E max = Kq/a2 |
here r is the distance between the centre of the circle and a point outside it
E due to a nonconducting charged sphere
When point is outside the shell |
E = Kq/r2 |
When point is inside the shell |
E = Kqr/a3 |
When point is on the surface |
E max = Kq/a2 |
here r is the distance between the centre of the circle and a point outside it
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Electrical potential due to point charge
V due to conducting charged sphere
When point is outside the shell |
V = Kq/r |
when point is inside the shell |
V = Kq/a |
when point is on the surface |
V = Kq/a |
U of a system of charges
1. 2 point charges -
U = Kq1q2/r12
2. 3 point charges -
U = K (q1q2/r12 + q2q3/r23 + q1q3/r13) |
r12, r23, r13 are all distances between the corresponding charges
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