Chapter 23: Electric Potential

Electric Potential Energy

Electric potential energy is the energy stored due to the position of a charge in an electric field. It is analogous to gravitational potential energy, but involves electric forces instead of gravitational forces.

• Definition: The energy a charge possesses due to its location in an electric field.

• Formula (Gravitational Analogy):

• Formula (Electric):

• Work Done by Electric Field:

• Conservative Force: Electric force is conservative, meaning the work done is path-independent.

• Change in Potential Energy:

• Potential Energy per Unit Charge:

• Units: Joules (J) for energy, Volts (V) for potential ()

• Example: A charge moved a distance in a uniform electric field experiences a change in potential energy .

Potential Difference

Potential difference, also known as voltage, is the change in electric potential energy per unit charge between two points in an electric field.

• Definition: The work done per unit charge to move a charge between two points.

• Formula:

• Relation to Electric Field: In a uniform field,

• Units: Volts (V)

• Scalar Quantity: Unlike electric field (vector), potential is a scalar function.

• Example: Moving a charge through a potential difference of requires of work.

Electric Potential

Electric potential at a point is the electric potential energy per unit charge at that point. It is a measure of the ability of the electric field to do work on a charge.

• Definition:

• Units: Volts (V)

• Relation to Potential Energy:

• Example: If and , then .

Relationship Between Electric Field and Potential

The electric field is related to the rate of change of electric potential with respect to distance. The field points in the direction of decreasing potential.

• Formula:

• Direction: Electric field points from high potential to low potential.

• Positive Charge: Accelerates in the direction of decreasing potential.

• Negative Charge: Accelerates in the direction of increasing potential.

• Example: In a uniform field, if decreases by over , .

Units and Conversions

Understanding the units is essential for solving problems involving electric potential and energy.

• Potential Energy: Joules (J)

• Electric Potential: Volts (V)

• Conversion:

• Example: (Additional info: This likely refers to a conversion factor or a specific example; clarify in context.)

Summary Table: Key Quantities in Electric Potential

Additional info:

• Some handwritten notes were unclear; equations and relationships were inferred based on standard physics curriculum.

• "Salar funchon" refers to "scalar function" (potential is scalar, unlike electric field which is vector).

• "E points na. direckont where V decreases" means electric field points in the direction of decreasing potential.

• "KE increases and PE decreases" describes energy conversion when a charge is released from rest in an electric field.