Electrostatic Potential And Potential Energy - Part 2

Slide 1:

• Recap: Electrostatic Potential and Potential Energy
• Relationship between potential difference and electric field
• Equipotential surfaces and their characteristics
• Definition of electric potential energy

Slide 2:

• Unit of Electric Potential Energy: Joules (J)
• Electric Potential Energy of a system of point charges
• Calculation using the formula: U = k * (q1 * q2) / r

Slide 3:

• Work done in bringing a test charge from infinity to a point
• Potential energy of the test charge at that point
• Calculation using the formula: U = q * V

Slide 4:

• Potential energy of a system of point charges
• Calculation using the formula: U = k * (q1 * q2) / r1 + k * (q1 * q3) / r2 + k * (q2 * q3) / r3

Slide 5:

• Principle of Superposition
• Adding individual potential energies to find total potential energy
• Example: System of three charges and calculating total potential energy

Slide 6:

• Energy conservation and potential energy
• Conversion between electrical potential energy and kinetic energy
• Example: Calculation of the speed of a charged particle

Slide 7:

• Potential energy of a dipole in an external electric field
• Calculation using the formula: U = -p * E * cos(theta)

Slide 8:

• Work done in rotating a dipole in an external electric field
• Relation between work done and potential energy
• Calculation using the formula: W = -delta U

Slide 9:

• Potential energy of a dipole in a uniform electric field
• Calculation using the formula: U = -p * E

Slide 10:

• Equipotential surfaces for a dipole in a uniform electric field
• Characteristics of equipotential surfaces for a dipole
• Example: Identifying equipotential surfaces visually

Slide 11:

• Electric potential energy of a system with continuous charge distribution
• Integration of electric potential energy equation: U = ∫ k * dq / r

Slide 12:

• Energy stored in a capacitor
• Relation between potential difference and charge stored
• Calculation using the formula: U = 1/2 * C * V^2

Slide 13:

• Dielectric materials and their effect on capacitors
• Dielectric constant (k) and its relation to capacitance
• Calculation using the formula: C’ = k * C

Slide 14:

• Calculation of energy stored in a capacitor with dielectric material
• Calculation using the formula: U’ = 1/2 * C’ * V^2

Slide 15:

• Parallel plate capacitor and its capacitance calculation
• Calculation using the formula: C = ε₀ * (A / d)

Slide 16:

• Calculation of energy stored in a parallel plate capacitor
• Calculation using the formula: U = 1/2 * C * V^2

Slide 17:

• Combination of capacitors in series
• Calculation of equivalent capacitance
• Calculation using the formula: 1/Ceq = 1/C1 + 1/C2 + 1/C3 + …

Slide 18:

• Combination of capacitors in parallel
• Calculation of equivalent capacitance
• Calculation using the formula: Ceq = C1 + C2 + C3 + …

Slide 19:

• Calculation of energy stored in a combination of capacitors
• Calculation using the formula: U = 1/2 * Ceq * V^2

Slide 20:

• Energy density of a capacitor
• Calculation using the formula: u = 1/2 * ε₀ * E^2

Slide 21:

• Potential energy of a charged particle in an electric field
• Calculation using the formula: U = q * V

Slide 22:

• Electric potential due to a continuous charge distribution
• Calculation using the formula: V = ∫ k * (dq / r)

Slide 23:

• Electric potential at a point due to a uniformly charged spherical shell
• Calculation using the formula: V = k * (Q / r)

Slide 24:

• Electric potential at a point due to a uniformly charged solid sphere
• Calculation using the formula: V = k * (3/2) * (Q / R) * (1 - (r^2 / R^2))

Slide 25:

• Electric potential due to a dipole
• Calculation using the formula: V = k * (p * cos(theta)) / r^2

Slide 26:

• Electric potential due to multiple point charges
• Calculation using the formula: V = k * (q1/r1 + q2/r2 + q3/r3 + …)

Slide 27:

• Potential gradient and electric field
• Relation between potential gradient and electric field
• Calculation using the formula: E = - dV/dr

Slide 28:

• Equipotential surfaces and electric field lines
• Relationship between equipotential surfaces and electric field lines
• Example: Identifying equipotential surfaces and field lines around a point charge

Slide 29:

• Example problems for calculating electric potential and potential energy in various scenarios
• Application of formulas and concepts learned in the lecture
• Practice questions for students to solve and discuss in class

Slide 30:

• Summary of key concepts covered in the lecture
• Importance of understanding electric potential and potential energy in analyzing electrical systems
• Encouragement for further exploration and practice of related problems and concepts