Slide 1

  • Topic: Potential Due To Different Charge Distributions - Concept of Electrical Breakdown
  • Introduction to the concept of electrical breakdown and its importance.
  • Definition of electrical breakdown.
  • Explanation of electrical breakdown in insulators and conductors.
  • Importance of understanding electrical breakdown in various applications.

Slide 2

  • Review of electric potential.
  • Definition of electric potential and its units.
  • Explanation of how electric potential is related to electric field.
  • Examples illustrating the concept of electric potential.

Slide 3

  • Potential due to point charge.
  • Derivation of the expression for potential due to a point charge.
  • Explanation of the scalar nature of electric potential.
  • Example problem calculating the potential due to a point charge.

Slide 4

  • Potential due to a system of charges.
  • Explanation of superposition principle.
  • Calculation of potential due to a system of point charges.
  • Example problem calculating the potential due to multiple point charges.

Slide 5

  • Potential due to a continuous charge distribution.
  • Introduction to the concept of charge density.
  • Explanation of how to calculate the potential due to a charge distribution using integration.
  • Example problem calculating the potential due to a charged rod.

Slide 6

  • Equipotential surfaces.
  • Definition of equipotential surfaces.
  • Explanation of how electric field lines are perpendicular to equipotential surfaces.
  • Examples illustrating the concept of equipotential surfaces.

Slide 7

  • Relationship between electric field and potential.
  • Derivation of the relationship between electric field and potential.
  • Explanation of how electric field is related to the gradient of potential.
  • Example problem calculating the electric field from a given potential.

Slide 8

  • Potential energy of a system of charges.
  • Definition of potential energy.
  • Derivation of the expression for potential energy of a system of charges.
  • Explanation of how potential energy is related to work done.
  • Example problem calculating the potential energy of a system of charges.

Slide 9

  • Conductors and insulators.
  • Explanation of the difference between conductors and insulators.
  • Examples of common conductors and insulators.
  • Discussion on the behavior of electric potential in conductors and insulators.

Slide 10

  • Electrical breakdown.
  • Definition and explanation of electrical breakdown.
  • Factors affecting the breakdown voltage.
  • Examples of electrical breakdown in different applications.

Slide 11

  • Dielectric breakdown.
  • Definition and explanation of dielectric breakdown.
  • Factors affecting the breakdown voltage in dielectrics.
  • Examples of dielectric breakdown in different applications.

Slide 12

  • Capacitors and their potential.
  • Introduction to capacitors and their role in storing electrical potential energy.
  • Explanation of how potential is related to the charge and capacitance of a capacitor.
  • Derivation of the formula for potential in terms of charge and capacitance.
  • Example problem calculating the potential of a capacitor.

Slide 13

  • Potential due to a capacitor.
  • Explanation of how to calculate potential due to a capacitor using the formula derived earlier.
  • Illustration of how potential varies across different parts of a capacitor.
  • Example problem calculating the potential at different points in a capacitor.

Slide 14

  • Equipotential surfaces of a capacitor.
  • Explanation of how equipotential surfaces are formed in a capacitor.
  • Illustration of the shape of equipotential surfaces in a parallel-plate capacitor.
  • Discussion on the uniform electric field between the plates of a capacitor.

Slide 15

  • Energy stored in a capacitor.
  • Definition of the energy stored in a capacitor.
  • Derivation of the formula for energy stored in terms of capacitance and potential difference.
  • Explanation of how the energy stored in a capacitor can be calculated.
  • Example problem calculating the energy stored in a capacitor.

Slide 16

  • Potential due to a uniformly charged ring.
  • Derivation of the formula for potential due to a uniformly charged ring along its axis.
  • Explanation of the variables involved in the formula, such as charge, radius, and distance.
  • Example problem calculating the potential due to a charged ring at a given point.

Slide 17

  • Potential due to a uniformly charged disk.
  • Derivation of the formula for potential due to a uniformly charged disk along its axis.
  • Explanation of the variables involved in the formula, such as charge density, radius, and distance.
  • Example problem calculating the potential due to a charged disk at a given point.

Slide 18

  • Potential due to a uniformly charged sphere.
  • Derivation of the formula for potential due to a uniformly charged sphere.
  • Explanation of how the potential varies both inside and outside the sphere.
  • Example problem calculating the potential due to a charged sphere at a given point.

Slide 19

  • Potential due to an infinite line of charge.
  • Derivation of the formula for potential due to an infinite line of charge.
  • Explanation of how potential varies as distance from the line of charge changes.
  • Example problem calculating the potential due to an infinite line of charge at a given point.

Slide 20

  • Potential due to a finite line segment of charge.
  • Explanation of how to calculate potential due to a finite line segment of charge using integration.
  • Derivation of the formula for potential due to a finite line segment of charge.
  • Example problem calculating the potential due to a finite line segment of charge at a given point.

Slide 21

  • Electric potential due to a cylindrical shell of charge.
  • Derivation of the formula for potential due to a cylindrical shell of charge.
  • Explanation of how the potential varies inside and outside the cylindrical shell.
  • Example problem calculating the potential due to a charged cylindrical shell at a given point.

Slide 22

  • Potential due to a non-uniformly charged rod.
  • Explanation of how to calculate potential due to a non-uniformly charged rod using integration.
  • Derivation of the formula for potential due to a non-uniformly charged rod.
  • Example problem calculating the potential due to a non-uniformly charged rod at a given point.

Slide 23

  • Potential due to a non-uniformly charged disk.
  • Explanation of how to calculate potential due to a non-uniformly charged disk using integration.
  • Derivation of the formula for potential due to a non-uniformly charged disk.
  • Example problem calculating the potential due to a non-uniformly charged disk at a given point.

Slide 24

  • Potential due to a non-uniformly charged sphere.
  • Explanation of how to calculate potential due to a non-uniformly charged sphere using integration.
  • Derivation of the formula for potential due to a non-uniformly charged sphere.
  • Example problem calculating the potential due to a non-uniformly charged sphere at a given point.

Slide 25

  • Potential due to a uniformly charged cone.
  • Derivation of the formula for potential due to a uniformly charged cone.
  • Explanation of how the potential varies both inside and outside the cone.
  • Example problem calculating the potential due to a charged cone at a given point.

Slide 26

  • Electric breakdown in gases.
  • Explanation of how electrical breakdown occurs in gases.
  • Factors affecting the breakdown voltage in gases.
  • Examples of electrical breakdown in gases in different applications.

Slide 27

  • Electrical breakdown in vacuum.
  • Explanation of how electrical breakdown occurs in vacuum.
  • Factors affecting the breakdown voltage in vacuum.
  • Examples of electrical breakdown in vacuum in different applications.

Slide 28

  • Dielectric strength.
  • Definition of dielectric strength.
  • Explanation of how dielectric strength is related to electrical breakdown.
  • Factors affecting the dielectric strength of materials.

Slide 29

  • Applications of electrical breakdown.
  • Discussion on the various applications of electrical breakdown, such as lightning, spark gaps, and breakdown in electronic devices.
  • Importance of understanding electrical breakdown for safe operation and design of electrical systems.

Slide 30

  • Summary and recap.
  • Recap of the main concepts covered in the lecture.
  • Emphasis on the relationship between electric potential and electric field.
  • Importance of understanding potential due to different charge distributions and electrical breakdown.
  • Encouragement for further exploration and study in the field of electrical potential.