9.1 Electric Potential Energy

• Electric potential energy is measured in Joules
• The change in electric potential energy when a charge moves in an electric field equals the negative work done by the field.


  True
• What is electric potential energy (U)?

  Energy due to position in electric field
• What is the definition of electric potential (V)?

  Energy per unit charge
• What is the unit of electric potential?

  Volts
• Match the concept with its formula:

  Electric Potential Energy ↔️ U = qV

  Electric Potential ↔️ V = U/q
• What is the formula relating electric potential energy (U), charge (q), and electric potential (V)?

  U = qV
• What is the relationship between electric potential energy and the work done by the electric field?

  U = -W
• What is the formula for electric potential energy in a uniform electric field?

  U = -qE ⋅ Δl
• What is electric potential energy analogous to in mechanics?

  Gravitational potential energy
• What is electric potential energy defined as?

  Energy due to position
• What is the formula for electric potential energy?

  U = qV</latex>
• Match the quantity with its definition:

  Electric Potential Energy ↔️ Energy due to position in electric field

  Electric Potential ↔️ Energy per unit charge at a point
• The electric potential energy is the negative of the work done by the electric field.

  True
• A 2 μC charge in a 100 V electric field has an electric potential energy of 0.2 mJ.


  True
• What is the main difference between electric potential energy and electric potential?

  Dependence
• Electric potential energy is analogous to gravitational potential energy in mechanics.


  True
• Electric potential energy (U) is related to electric potential (V) by the formula U = qV
• Electric potential energy (U) is determined by the charge and the electric field
• The change in electric potential energy is equal to the negative work done by the electric field.


  True
• The electric force F is equal to the product of the charge q and the electric field E.


  True
• The electric potential energy for a point charge is calculated using the formula U = qV.


  True
• Electric potential energy depends on both the charge and the electric field.


  True
• The units of electric potential energy are Joules
• The electric potential energy of a charged particle is determined by its position in an electric field.
• The work done by the electric field is given by ∫ F ⋅ dl
• In a uniform electric field, the electric potential energy is given by -qE ⋅ Δl
• The electric potential energy of a 2 μC charge in a 100 V electric field is 0.2 mJ.
• Electric potential depends only on the electric field.


  True
• The total electric potential energy for multiple charges is given by ∑ (k q_i q_j / r_ij)
• Electric potential energy depends only on the electric field, not the charge of the particle.

  False
• The electric potential energy of a charged particle is determined by its position in an electric field
• Electric potential energy is the energy due to position in an electric field
• Electric potential energy is the negative of the work done by the electric field to bring the charge from infinity
• For a 2 μC charge in a 100 V electric field, the electric potential energy is 0.2 mJ.
• The change in electric potential energy when a charge moves from point A to point B is equal to the negative work done by the electric field
• Electric potential energy depends on both charge and electric field.

  True
• The change in electric potential energy equals the negative work done by the electric field.


  True
• What is the electric force on a charge q in an electric field E?

  F = qE</latex>
• What are the key steps in deriving the expression for electric potential energy?

  Work, substitution, negative work, simplification