Electrostatic Potential and Capacitance — Revision Notes
Telangana Open School (TOSS) · Class 12 · Physics
Electrostatic Potential and Capacitance revision notes for Telangana Open School (TOSS) Class 12 Physics: 4 topics in quick points.
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Key Topics to Revise
Electric Potential and Potential Difference
- Electric potential at a point is the work done to bring a unit positive charge from infinity to that point against the electric field.
- Potential difference between two points is the work done per unit charge to move it from one point to another.
- Electric potential is a scalar quantity measured in volts (V).
Relation Between Electric Field and Potential
- Electric field is the negative gradient of electric potential: $ \vec{E} = -\frac{dV}{dr} $.
- The electric field points in the direction of decreasing potential.
- In a uniform electric field, $ E = \frac{V}{d} $, where d is the separation between plates.
Capacitance and Capacitors
- Capacitance is the ability of a conductor or system to store charge per unit potential difference.
- For a capacitor, $ C = Q/V $, where Q is charge on one plate and V is potential difference.
- Capacitance depends on geometry, size, and dielectric medium, not on charge or voltage.
Grouping of Capacitors and Energy Storage
- In parallel combination, voltage is same across all capacitors; total capacitance is sum of individual capacitances.
- In series combination, charge is same on all capacitors; reciprocal of total capacitance is sum of reciprocals.
- Energy stored in a capacitor is $ U = \frac{1}{2}CV^2 = \frac{1}{2}QV = \frac{Q^2}{2C} $.
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