Electrostatic Potential And Potential Energy - Electrostatic Potential Energy
Introduction to Electrostatic Potential Energy
Definition of Electrostatic Potential Energy
Formula for calculating Electrostatic Potential Energy
Relationship between Electrostatic Potential Energy and Work
Example: Calculating Electrostatic Potential Energy
Two point charges
Distance between the charges
Calculation steps
SI unit of Electrostatic Potential Energy
Difference between Electrostatic Potential and Electrostatic Potential Energy
Potential Energy of a System of Charges
Example: Potential Energy in a System of Charges
Electric Potential - Definition
Introduction to Electric Potential
Definition of Electric Potential
Difference between Electric Potential and Electrostatic Potential
Formula for calculating Electric Potential
Relationship between Electric Potential and Electric Field
Example: Calculating Electric Potential
Given electric field
Distance from the source charge
Calculation steps
SI unit of Electric Potential
Equipotential Surfaces
Example: Identifying Equipotential Surfaces
Relation between Electric Potential and Electric Field
Introduction to the relation between Electric Potential and Electric Field
Equation relating Electric Field and Electric Potential
Derivation of the equation
Relationship between the direction of Electric Field and Electric Potential
Example: Calculating Electric Potential from Electric Field
Given Electric Field
Distance from the source charge
Calculation steps
Relationship between the Gradient of Electric Potential and Electric Field
Equipotential Lines
Example: Drawing Equipotential Lines
Electric Potential Due to a Point Charge
Introduction to Electric Potential Due to a Point Charge
Formula for calculating Electric Potential Due to a Point Charge
Derivation of the formula
Example: Calculating Electric Potential Due to a Point Charge
Given charge magnitude
Distance from the charge
Calculation steps
Relationship between Electric Potential Due to a Point Charge and Electric Field Due to a Point Charge
Potential Energy of a System Due to a Point Charge
Example: Calculating Potential Energy in a System Due to a Point Charge
Potential at a Point in a Uniform Electric Field
Introduction to Potential at a Point in a Uniform Electric Field
Formula for calculating Potential at a Point in a Uniform Electric Field
Derivation of the formula
Example: Calculating Potential at a Point in a Uniform Electric Field
Given electric field strength
Distance from the field plates
Calculation steps
Relationship between Potential at a Point in a Uniform Electric Field and Electric Field Strength
Potential Energy of a System in a Uniform Electric Field
Example: Calculating Potential Energy in a System in a Uniform Electric Field
Capacitance of a System of Two Isolated Conducting Spheres (Derivation)
Introduction to Capacitance of a System of Two Isolated Conducting Spheres
Derivation of the formula for Capacitance
Assumptions made in the derivation
Example: Calculating the Capacitance of a System of Two Isolated Conducting Spheres
Given radius of each sphere
Distance between the spheres
Calculation steps
Relationship between Capacitance and Electric Field
Parallel-Plate Capacitor
Energy Stored in a Capacitor
Introduction to Energy Stored in a Capacitor
Formula for calculating Energy Stored in a Capacitor
Derivation of the formula
Example: Calculating Energy Stored in a Capacitor
Given capacitance of the capacitor
Voltage across the capacitor
Calculation steps
Relationship between Energy Stored in a Capacitor and Electric Field
Relationship between Energy Stored in a Capacitor and Electric Potential Energy
Dielectrics and their effect on the Energy Stored in a Capacitor
Combination of Capacitors
Introduction to Combination of Capacitors
Series Combination of Capacitors
Formula for calculating the equivalent capacitance in series
Parallel Combination of Capacitors
Formula for calculating the equivalent capacitance in parallel
Example: Calculating the equivalent capacitance in a combination of capacitors
Given capacitance values
Calculation steps
Applications of Combination of Capacitors
Principle of Conservation of Energy
Introduction to the Principle of Conservation of Energy
Statement of the Principle of Conservation of Energy
Derivation of the equation using electric potential energy and work
Example: Applying the Principle of Conservation of Energy
Given initial and final positions of the charged particles
Calculation steps
Applications of the Principle of Conservation of Energy in Physics
Limitations of the Principle of Conservation of Energy
Electric Potential - Definition
Introduction to Electric Potential
Definition of Electric Potential
Difference between Electric Potential and Electrostatic Potential
Formula for calculating Electric Potential
Relationship between Electric Potential and Electric Field
Example: Calculating Electric Potential
Given electric field
Distance from the source charge
Calculation steps
Case 1: Electric field is constant
Case 2: Electric field varies with position
SI unit of Electric Potential
Explanation of SI unit of Electric Potential
Definition of Volt (V)
Conversion between different units of Electric Potential
Relation between Electric Potential and Potential Difference
Example: Calculating Potential Difference using Electric Potential
Equipotential Surfaces
Introduction to Equipotential Surfaces
Definition of Equipotential Surfaces
Properties of Equipotential Surfaces
Examples of Equipotential Surfaces
Relationship between Electric Field and Equipotential Surfaces
Example: Identifying Equipotential Surfaces
Given electric field lines
Using the properties of Equipotential Surfaces
Calculation steps
Identifying the Equipotential Surfaces
Potential Energy of a System of Charges
Introduction to Potential Energy of a System of Charges
Definition of Potential Energy of a System of Charges
Calculation of Potential Energy for a system of charges
Example: Calculating Potential Energy for a system of charges
Relationship between Potential Energy and Work Done
Example: Potential Energy in a System of Charges
Given charges and their positions
Calculation steps
Identifying the system of charges
Calculation of Potential Energy for the system of charges
Comparison with different configurations of charges
Electric Potential Due to a Point Charge
Introduction to Electric Potential Due to a Point Charge
Definition of Electric Potential Due to a Point Charge
Calculation of Electric Potential Due to a Point Charge
Example: Calculating Electric Potential Due to a Point Charge
Relationship between Electric Potential Due to a Point Charge and Electric Field Due to a Point Charge
Potential Energy of a System Due to a Point Charge
Introduction to Potential Energy of a System Due to a Point Charge
Definition of Potential Energy of a System Due to a Point Charge
Calculation of Potential Energy for a system due to a point charge
Example: Calculating Potential Energy for a system due to a point charge
Relationship between Potential Energy and Work Done in a System
Potential at a Point in a Uniform Electric Field
Introduction to Potential at a Point in a Uniform Electric Field
Definition of Potential at a Point in a Uniform Electric Field
Calculation of Potential at a Point in a Uniform Electric Field
Example: Calculating Potential at a Point in a Uniform Electric Field
Relationship between Potential at a Point in a Uniform Electric Field and Electric Field Strength
Potential Energy of a System Due to a Point Charge (Contd.)
Relationship between Potential Energy of a System Due to a Point Charge and Electric Field
Calculation of Potential Energy for a system due to multiple point charges
Example: Calculating Potential Energy for a system due to multiple point charges
Given charges and their positions
Calculation steps
Potential Energy Stored in a System of Charges
Example: Calculating Potential Energy Stored in a System of Charges
Potential at a Point in a Uniform Electric Field (Contd.)
Relationship between Potential at a Point in a Uniform Electric Field and Electric Field Strength
Calculation of Potential at a Point in a Non-Uniform Electric Field
Example: Calculating Potential at a Point in a Non-Uniform Electric Field
Given electric field expression
Distance from the origin
Calculation steps
Relationship between Electric Potential Gradient and Electric Field
Electric Potential Due to an Infinite Line of Charge
Example: Calculating Electric Potential Due to an Infinite Line of Charge
Electrostatic Potential of an Infinite Plane Sheet of Charge
Introduction to Electrostatic Potential of an Infinite Plane Sheet of Charge
Equation for calculating Electric Potential of an Infinite Plane Sheet of Charge
Derivation of the equation
Example: Calculating Electric Potential Due to an Infinite Plane Sheet of Charge
Given charge density of the sheet
Distance from the sheet
Calculation steps
Relationship between Electric Potential of an Infinite Plane Sheet of Charge and Electric Field
Potential Energy of a System Due to an Infinite Plane Sheet of Charge
Example: Calculating Potential Energy of a System Due to an Infinite Plane Sheet of Charge
Electrostatic Potential of a Uniformly Charged Sphere
Introduction to Electrostatic Potential of a Uniformly Charged Sphere
Equation for calculating Electric Potential of a Uniformly Charged Sphere
Derivation of the equation
Example: Calculating Electric Potential Due to a Uniformly Charged Sphere
Given charge of the sphere
Distance from the center
Calculation steps
Relationship between Electric Potential of a Uniformly Charged Sphere and Electric Field
Potential Energy of a System Due to a Uniformly Charged Sphere
Example: Calculating Potential Energy of a System Due to a Uniformly Charged Sphere
Electrostatic Potential due to a Solid Sphere
Introduction to Electrostatic Potential due to a Solid Sphere
Equation for calculating Electric Potential due to a Solid Sphere
Derivation of the equation
Example: Calculating Electric Potential Due to a Solid Sphere
Given charge of the sphere
Distance from the center
Calculation steps
Relationship between Electric Potential due to a Solid Sphere and Electric Field
Potential Energy of a System Due to a Solid Sphere
Example: Calculating Potential Energy of a System Due to a Solid Sphere
Electrostatic Potential of a Spherical Shell
Introduction to Electrostatic Potential of a Spherical Shell
Equation for calculating Electric Potential of a Spherical Shell
Derivation of the equation
Example: Calculating Electric Potential Due to a Spherical Shell
Given charge of the shell
Distance from the center
Calculation steps
Relationship between Electric Potential of a Spherical Shell and Electric Field
Potential Energy of a System Due to a Spherical Shell
Example: Calculating Potential Energy of a System Due to a Spherical Shell
Electrostatic Potential of a Non-Conducting Solid Sphere
Introduction to Electrostatic Potential of a Non-Conducting Solid Sphere
Equation for calculating Electric Potential of a Non-Conducting Solid Sphere
Derivation of the equation
Example: Calculating Electric Potential Due to a Non-Conducting Solid Sphere
Given charge density of the sphere
Distance from the center
Calculation steps
Relationship between Electric Potential of a Non-Conducting Solid Sphere and Electric Field
Potential Energy of a System Due to a Non-Conducting Solid Sphere
Example: Calculating Potential Energy of a System Due to a Non-Conducting Solid Sphere
Capacitance of a System of Parallel Plate Capacitors
Introduction to Capacitance of a System of Parallel Plate Capacitors
Equation for calculating Capacitance of a System of Parallel Plate Capacitors
Derivation of the equation
Example: Calculating Capacitance of a System of Parallel Plate Capacitors
Given capacitance of each capacitor
Calculation steps
Relationship between Capacitance and Electric Field
Combination of Capacitors with Different Capacitance Values
Example: Calculating the equivalent capacitance in a combination of capacitors with different capacitance values