10.8 Conservation of Electric Energy

• Electric force is a conservative force.


  True
• What happens to electric potential energy when a positive charge is moved away from a negatively charged plate?

  Increases
• Gravitational potential energy depends on mass and height
• What happens to electric potential energy when the charge magnitude increases?

  Increases
• Bringing two positive charges closer together increases the system's potential
• Match the factor with its effect on electric potential energy:

  Charge Magnitude ↔️ Larger charge, more energy

  Electric Field Strength ↔️ Stronger field, more energy

  Distance ↔️ Greater distance, more energy
• Larger charges store more electric potential energy.


  True
• Match the type of potential energy with its dependence:

  Electric potential energy ↔️ Charge, electric field

  Gravitational potential energy ↔️ Mass, height
• Steps involved when a positive charge is moved near a larger positive charge:

  1️⃣ Charge gains electric potential energy

  2️⃣ Charge is moved away

  3️⃣ Potential energy converts to kinetic energy
• What effect does a stronger electric field have on electric potential energy?

  Increases it
• In electric systems, total energy is the sum of kinetic and electric potential energy
• What is electric potential energy?

  Energy due to charge position
• Moving a positive charge away from a larger positive charge converts potential energy to kinetic
• How does electric potential energy differ from gravitational potential energy?

  Deals with charged particles
• Order the steps to calculate electric potential energy:

  1️⃣ Identify the charges and their positions

  2️⃣ Apply the formula for electric potential energy

  3️⃣ Substitute the values into the formula

  4️⃣ Calculate the result
• How does distance affect electric potential energy?

  Increases with distance
• What is the electric potential energy of a charge of $2 \mu C$ located 0.5 meters from a fixed charge of $10 \mu C$?


  $0.36 J$
• Electric potential energy is measured in Joules
• Bringing two positive charges closer together increases the system's potential energy
• In electric fields, the electric force is conservative
• Electric potential energy is associated with conservative forces.


  True
• Conservation of mechanical energy states that the total mechanical energy of an isolated system remains constant
• What is the mathematical relationship between work and change in potential energy?

  $W =$$- \Delta U$
• What type of forces is electric potential energy associated with?

  Conservative forces
• Higher electric field strength increases electric potential energy
• What mathematical relationship describes the work done on a system in terms of its potential energy?

  $W =$$- \Delta U$
• In electric systems, total energy is conserved and includes kinetic and electric potential energy.


  True
• Steps to solve problems using the conservation of electric energy

  1️⃣ Identify energy types

  2️⃣ Define initial and final states

  3️⃣ Apply conservation law

  4️⃣ Solve for unknown
• Match the force with its potential energy:

  Electric ↔️ Electric Potential Energy

  Gravitational ↔️ Gravitational Potential Energy
• The work required to move a charge against an electric force is equal to the negative change in potential energy.


  True
• What is the electric potential energy of a charge of $2 \mu C$ located 0.5 meters from a fixed charge of $10 \mu C$?


  $0.36 J$
• A stronger electric field increases electric potential energy.

  True
• What does electric potential energy depend on in contrast to gravitational potential energy?

  Charge and electric field
• What is the electric potential energy of a charge $q =$$2 \mu C$ located 0.5 meters from a fixed charge of $Q =$$10 \mu C$?


  0.36 J
• What is the electric potential energy of a 3 μC charge placed 2 meters from a 5 μC charge?

  0.0674 J
• What is electric potential energy associated with in electric fields?

  Conservative forces
• What happens to the kinetic energy of a positive charge as it moves away from another positive charge?

  Increases
• What effect does increasing the separation between charges have on electric potential energy?

  Increases it
• Work done on a system is equal to the change in its potential energy.


  True
• If a positive charge moves away from a negative charge, its potential energy increases.


  True