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Seatwork:
 1. Find the electric potential at (3.0m,3.0m) due to a point charge q =
    -2.0 C located at (-3.0m,3.0m)

 2. Find the electric potential at (-3.0m,-1.0m) due to three point
    charges:
     q1 = 2.0 C at (1.0m,0)
     q2 = -1.0 C at (0,0)
     q3 = -0.10 C at (-3.1m,-1.1m)

 3. A charge q = 1.0 C is placed at the origin. Find the electric
    potential at
   a. (1.0m,0 m)
   b. (0,1.0m)
   c. (0,-1.0m)
   d. (-1.0m,0)
   e. What do you notice in your answers from 3a to 3d.
Seatwork:
 4. From #3, draw a line connecting points with a potential of
   a. V = 9.0 x 109 Volts
   b. V = 5.0 x 109 Volts
   c. V = 1.0 x 109 Volts
   d. What can you conclude about the shape of the line?

 5. A spherical balloon contains a positive charge at its center. As the
    balloon is inflated to a greater volume, the electric potential on the
    surface
   a. increase
   b. decrease
   c. remains the same

 6. Intuition Test. A positive charge is under the influence of an
    electric potential. The charge will tend to
   a. go to regions of lower potential
   b. go to regions of higher potential
   c. stay in its original position
Seatwork:
 7. Two points A and B are located within a region in which there is an
    electric field. The potential difference ΔV = VB - VA is
   a. positive
   b. negative
   c. zero

 8. A negative charge is placed
    at A and moved to B. The
    change in potential energy
    of the charge-field system is
   a. positive
   b. negative
   c. zero
Seatwork:
 9. At a certain distance from a point charge, the magnitude of the
    electric field is 500 V/m and the electric potential is 3.00kV.
   a. What is the distance to the charge?
   b. What is the magnitude of the charge?

 10. Three charges are at the vertices of
     an isosceles triangle. Calculate the
     electric potential at the midpoint of
     the base with q = 7.00 µC.
 11. Show that the amount of work
     required to assemble four identical
     point charges of magnitude Q at the
     corners of a square of side s is
     5.41kQ2/s.
Seatwork:
                                                                                →
    12. A particle with a charge of +4.20 nC is in a uniform electric field E
directed to the left. It is released from rest and moves to the left; after is has
moved 6.00 cm, its kinetic energy is found to be +1.50 × 10− 6 J.
(a) What work was done by the electric force?
(b) What is the potential of the starting point with respect to the end point?
                               →
(c) What is the magnitude of E?

               Recall the formula for the conservation of energy:
                           1
                           2
                               2
                             mvi   + Ui = 1 mvf + Uf
                                          2
                                              2

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01 vectors and electric field (seatwork part)

  • 1. Seatwork: 1. Find the electric potential at (3.0m,3.0m) due to a point charge q = -2.0 C located at (-3.0m,3.0m) 2. Find the electric potential at (-3.0m,-1.0m) due to three point charges: q1 = 2.0 C at (1.0m,0) q2 = -1.0 C at (0,0) q3 = -0.10 C at (-3.1m,-1.1m) 3. A charge q = 1.0 C is placed at the origin. Find the electric potential at a. (1.0m,0 m) b. (0,1.0m) c. (0,-1.0m) d. (-1.0m,0) e. What do you notice in your answers from 3a to 3d.
  • 2. Seatwork: 4. From #3, draw a line connecting points with a potential of a. V = 9.0 x 109 Volts b. V = 5.0 x 109 Volts c. V = 1.0 x 109 Volts d. What can you conclude about the shape of the line? 5. A spherical balloon contains a positive charge at its center. As the balloon is inflated to a greater volume, the electric potential on the surface a. increase b. decrease c. remains the same 6. Intuition Test. A positive charge is under the influence of an electric potential. The charge will tend to a. go to regions of lower potential b. go to regions of higher potential c. stay in its original position
  • 3. Seatwork: 7. Two points A and B are located within a region in which there is an electric field. The potential difference ΔV = VB - VA is a. positive b. negative c. zero 8. A negative charge is placed at A and moved to B. The change in potential energy of the charge-field system is a. positive b. negative c. zero
  • 4. Seatwork: 9. At a certain distance from a point charge, the magnitude of the electric field is 500 V/m and the electric potential is 3.00kV. a. What is the distance to the charge? b. What is the magnitude of the charge? 10. Three charges are at the vertices of an isosceles triangle. Calculate the electric potential at the midpoint of the base with q = 7.00 µC. 11. Show that the amount of work required to assemble four identical point charges of magnitude Q at the corners of a square of side s is 5.41kQ2/s.
  • 5. Seatwork: → 12. A particle with a charge of +4.20 nC is in a uniform electric field E directed to the left. It is released from rest and moves to the left; after is has moved 6.00 cm, its kinetic energy is found to be +1.50 × 10− 6 J. (a) What work was done by the electric force? (b) What is the potential of the starting point with respect to the end point? → (c) What is the magnitude of E? Recall the formula for the conservation of energy: 1 2 2 mvi + Ui = 1 mvf + Uf 2 2