Electric Force, Field, and Potential unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
Why a charged rod attracts neutral paper
Electric field
Charge concentrates at sharp points
Electroscope behavior
The classic midpoint result
Why equipotentials are perpendicular to field lines
Coulomb's law
Electric potential
Charge in a uniform field is a projectile problem
Conduction versus induction versus polarization
Superposition of fields
Electron-volt as an energy
Short answer 1. Define or explain: When gravity matters
3 ptsShort answer 2. Define or explain: Acceleration of a charge in a field
3 ptsShort answer 3. Define or explain: Charge is conserved and quantized
3 ptsShort answer 4. Define or explain: Fields add as vectors, potentials as scalars
3 ptsFree response
8 ptsQUALITATIVE/QUANTITATIVE TRANSLATION (Question 4, 8 points). Equipotential lines for a region with an electric field are shown: from left to right they are labeled −3V0, −2V0, −V0, 0, +V0, and +2V0, with the +x-direction pointing right. Point S lies on the −2V0 equipotential and Point T on the +V0 equipotential. A small sphere (not shown) with positive charge +Q has initial speed vS in the +x-direction and kinetic energy KS at Point S. It moves to Point T, with the electric force the only force acting. At T it has speed vT and kinetic energy KT. For C: a new sphere of the same mass but negative charge −Q starts at S with the same initial speed vS in the +x-direction, again with only the electric force acting, and has kinetic energy Knew at T.
A. Indicate whether vT is greater than, less than, or equal to vS, and justify with conceptual reasoning beyond algebraic solutions.
B. Derive an expression for KT in terms of V0, Q, KS, and physical constants, as appropriate.
C. Indicate whether Knew is greater than, less than, or equal to KT, and briefly justify by referencing your derivation in part B.