9.2 Electric Potential

Cards (67)

  • What is electric potential defined as?
    Potential energy per unit charge
  • Electric potential and electric field are both scalar quantities.
    False
  • The electric field is the negative gradient of the electric potential.
  • What does electric potential quantify at a point in an electric field?
    Potential energy per unit charge
  • The electric field points in the direction of increasing potential.
    False
  • What is electric potential defined as?
    Potential energy per unit charge
  • The principle of superposition can be used to find the total electric potential due to multiple point charges.

    True
  • Why is no work done when moving a charge along an equipotential line?
    No change in potential energy
  • The work done by the electric field in moving a charge from point A to B is W_{AB} = - q \Delta V.
  • Electric potential is a scalar quantity.

    True
  • Electric potential difference is the energy needed to move a unit charge in an electric field.

    True
  • Electric potential is a scalar quantity.
  • Match the property with its corresponding value for electric potential and electric field:
    Definition of electric potential ↔️ Potential energy per unit charge
    Definition of electric field ↔️ Force per unit charge
    Electric potential quantity ↔️ Scalar
    Electric field quantity ↔️ Vector
  • What does the negative sign in the relationship between electric field and potential indicate?
    Field points toward decreasing potential
  • The formula relating electric potential, potential energy, and charge is V = U/q.
  • If the electric field is positive in the x direction, the electric potential decreases along the x axis.
  • The formula for electric potential is V = U/q where U is potential energy and q is charge.
  • The total electric potential due to multiple point charges is Vtotal=V_{total} =k∑i=1nqiri k \sum_{i = 1}^{n} \frac{q_{i}}{r_{i}}.
  • Equipotential lines are always perpendicular to the electric field lines.
  • What is the formula for the work done by the electric field in moving a charge from point A to B in terms of electric potential difference?
    WAB=W_{AB} =−qΔV - q \Delta V
  • What is the formula to calculate electric potential difference between two points A and B?
    ΔV=\Delta V =VB−VA V_{B} - V_{A}
  • What is the definition of electric potential at a single point in an electric field?
    Potential energy per unit charge
  • Match the property with its correct description:
    Electric potential ↔️ Potential energy per unit charge
    Electric field ↔️ Force per unit charge
  • The negative sign in the relationship E=E =−∇V - \nabla V indicates that the electric field points in the direction of decreasing potential.
  • Electric potential is measured in volts.
  • Coulomb's constant kk has a value of 8.99 \times 10^{9}</latex> N m²/C².
  • Equipotential lines are perpendicular to electric field lines.
    True
  • Point charges are used for the simplest charge arrangements
  • What is the definition of electric field lines?
    Lines indicating field direction
  • Equipotential lines help understand the potential energy of charges.

    True
  • What does qq represent in the formula for electric potential difference?

    Charge
  • The work done by the electric field is equal to the negative change in potential energy.

    True
  • The electric potential difference provides a measure of the energy required to move a charge between two points in an electric field.

    True
  • The work done by the electric field is given by W_{AB} ==−qΔV - q \Delta V
  • What unit is electric potential measured in?
    Volts (V)
  • What are the units of electric field?
    Newtons per Coulomb (N/C)
  • Match the electric field properties with their corresponding relationships:
    Positive in x direction ↔️ Decreases along x axis
    Negative in y direction ↔️ Increases along y axis
    Uniform ↔️ Constant
  • What is the mathematical relationship between electric field and electric potential?
    E=E =−∇V - \nabla V
  • Match the electric field direction with the change in electric potential:
    Positive in x direction ↔️ Decreases along x axis
    Negative in y direction ↔️ Increases along y axis
    Uniform field ↔️ Constant potential
  • What is the formula for electric potential due to a single point charge?
    V = \frac{kq}{r}</latex>