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Electrostatic Potential & Capacitance in One Shot - 2 Video Lecture - One-Shot

FAQs on Electrostatic Potential & Capacitance in One Shot - 2

1. What is electrostatic potential?
Ans. Electrostatic potential at a point in an electric field is defined as the amount of work done in bringing a unit positive charge from infinity to that point without any acceleration. It is a scalar quantity and is measured in volts (V). The formula for electrostatic potential (V) due to a point charge (Q) at a distance (r) from the charge is given by V = kQ/r, where k is Coulomb's constant.
2. How is capacitance defined, and what factors affect it?
Ans. Capacitance is defined as the ability of a system to store electric charge per unit voltage. It is given by the formula C = Q/V, where C is the capacitance, Q is the charge stored, and V is the potential difference across the capacitor. Factors affecting capacitance include the surface area of the plates, the distance between the plates, and the dielectric material used between the plates.
3. What is the role of a dielectric in a capacitor?
Ans. A dielectric is an insulating material placed between the plates of a capacitor that increases its capacitance by reducing the electric field strength between the plates. This allows the capacitor to store more charge for a given voltage. The capacitance with a dielectric is given by C = kC₀, where C₀ is the capacitance without the dielectric and k is the dielectric constant of the material.
4. Explain the concept of equipotential surfaces in electrostatics.
Ans. Equipotential surfaces are surfaces on which the electrostatic potential is constant. No work is required to move a charge along an equipotential surface, as the potential difference is zero. These surfaces are always perpendicular to electric field lines, which indicates that the electric field does not do any work when moving charges along these surfaces.
5. How do you calculate the energy stored in a capacitor?
Ans. The energy (U) stored in a capacitor can be calculated using the formula U = ½ CV², where C is the capacitance and V is the voltage across the capacitor. Alternatively, it can also be expressed as U = ½ QV, where Q is the charge stored in the capacitor. This energy is stored in the electric field created between the capacitor's plates.
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