- Consider a circular disc of radius ‘a’ which carries a uniform surface charge density ρs , C /m2.
- Say the disk lies on x - y plane (or z = 0 plane) with its axis along the z axis as shown in the figure.
- We need to find out electric potential (V) due to a circular disk at a point P (0, 0, h) on the z axis (z > 0).
- Electric potential (V) at a point due to any surface charge (ρs) is given as:
- In this case,
ds = ρ dρ dφ
(Since it’s a disc, the varying terms are radius ρ and angle φ)
R = (ρ2 + h2)1/2
- Hence electric potential (V) is given as:
- On solving further the equation becomes
- As a → 0, electric potential (V) also tends to zero i.e. V → 0.
- Hence the electric potential at point (0, 0, h) is given as:
- Gauss's Law - Theory.
- Gauss's Law - Application To a Point charge.
- Gauss's Law - Application To An Infinite Line Charge.
- Gauss's Law - Application To An Infinite Sheet Charge.
- Gauss's Law - Application To a Uniformly Charged Sphere.
- Numericals / Solved Examples - Gauss's Law.
- Scalar Electric Potential / Electrostatic Potential (V).
- Relationship Between Electric Field Intensity (E) and Electrostatic Potential (V).
- Electric Potential Due To a Circular Disk.
- Electric Dipole.
- Numericals / Solved Examples - Electric Potential and Electric Dipole.
- Energy Density In Electrostatic Field / Work Done To Assemble Charges.
- Numericals / Solved Examples - Electrostatic Energy and Energy Density.
- Numericals / Solved Examples - Gauss's law...
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