1. In the figure below, them are two fixed charges +Q, and a movable charge of +q shown at point A. Consider three possible ways you could move the charge at point A: from A to B. from A to C or from A to D Rank these three moves in order of the most amount of work you'd have to do for that move down to the least. Make sure to take sign into account - a negative work is less than a positive work, no Matter the number. Show your work to receive full credit.
2. Eleven point charges of magnitude +q are arranged in a circle as shown in the figure below. They are evenly space as the numbers on a 12-hour clock, with the charge at 10 o'clock missing. The circle has radius K.. Dour answers should be in terms of ct, R, and k.)
a. What is electric potential at the center of the circle?
b. What is the electric field (magnitude and direction) at the center of the circle?
3. The permanent electric dipole moment of the water molecule (H2O) is 6.2 x 10-30 Cm. What is the maximum torque on a water molecule in an 8.74 x 107 N/C electric field? Draw the electric field and the dipole moment vector with the correct relative directions when the torque is at its maximum.
4. The figure below shows three Gaussian surfaces enclosing different combinations of three charges. Given the three fluxes below, what are q1, q2 and 13 (in terms of the charge q given in the fluxes)?
5. A uniform electric field of 5.34kN/C is produced between two appositely charged parallel plates separated by 0.600m.
a. How large is the potential difference between the plates?
b. What is the charge density on each of the plates (they have the same charge density)?
6. The figure below shows a charged, hollow conducting sphere (of charge -Q) and a grounded conducting plate.
a. Draw the electric field lines in this region. A more complete picture gets your more credit. You should draw about 8 electric field lines.
b. Draw at least 3 equipotential lines on your diagram in dashed lines.
7. Find the electric field and the electric potential due to a ring of charge at a point P; a distance d above the plane of the ring, P is on the axis going through the center of the ring. Take the ring to haves radius R and a total charge Q.
8. An object of mass 0.012 kg (big enough to consider gravity!) is in a constant downward electric field of 3.31 x 104 N/C. It has a total downward acceleration of 2.20 m/s2 and is released from rest.
a. Draw a free body diagram of the charge. Sum the forces on the charge.
b. How much charge is on the object? Give magnitude and also whether it is positive or negative.
c. How last is the charge going after it has fallen 2.00 m?
d. How much have the following forms of energy changed in that 2.00m fall? (Be sure to watch your signs.)
d. Electric potential energy
e. Gravitational potential energy
f. Kinetic energy
g. Total energy