Day 16: Potential of Continuous Charge Distribution

  This is the equation we found for the electric potential energy.

  Then we used same equation V=kq/r found another potential energy. One is on top and the other one is at the middle of the ring.

  There are the three equations for theta.

  We found a new equation V=kqcostheta/x.

  We used Excel to found the total potential energy by using the equation V=kq/r.

  We found the total potential energy which match our excel answer.

  We used the potential energy V to find the electric field.

  Then we use intregration to found the change of the potential energy V.

  We calculate the potential electric energy of a point.

  We used the equation on the top to found the potential electric energy.

  We used Excel to the potential electric energy, the answer on the Excel is same as our calculate.

  There is a particle has positive charge. We draw the points which have the same potential electric energy.

  We have positive charge on the left and negative charge on the right.We draw the surface that has same potential electric energy.

  There is a electric dipole that draw on the surface.

  We used power supply, voltmeter and conductive paper to found different distant.

  We use Excel to found different voltage and change of V/x.

Conclusion:
  At beginning of the class, we found three ways to found potential difference at two points. Then we calculate the potential from a charge ring using the intregration. The equipotential surface is very important to analyze potential. Also, we did some exercises to found potential and used Excel to verify our answer.