PHY132_S10_M1_Solutions

PHY132_S10_M1_Solutions - ID Number: LAST Name: FIRST Name:...

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ID Number: LAST Name: FIRST Name: PHY 132 Midterm 1 Mar 1, 2010 Version Put ID and FULL NAME in BLOCK LETTERS on all sheets! Use the blue booklet for your calculations and mark your answers by circling the appropriate answer on this sheet. For numerical answers, give the an- swer in the units listed. If you modify your answer make it VERY clear what your intention is, or get a new sheet. This exam will last 90 minutes. Success! 1. Electric Field and Potential (40 points). a. A point charge of +Q is located at the center of a square. When a second point charge –Q is placed at the upper-left corner, the center charge feels a 2.0 N force. Calculate the magnitude of the net force acting on the center charge if a third charge –Q is placed at the lower-left corner. Circle the correct answer for the magnitude: zero 2.0 N 2.4 N 2.8 N 3.0 N 4.0 N 4.2 N 5.7 N 6.0 N Circle the correct answer for the direction: North N-E East S-E South S-W West N-W none of these b. A long hollow non-conducting cylinder of inner radius R 1 and outer radius R 2 car- ries a uniform charge of –8.85 μ C/m. Circle all correct answers for each of the four statements: The field for r <R 1 is … The field for r >R 2 is … The field for r >R 2 is … The field for R 1 < r<R 2 is … zero point- ing to- wards the axis point- ing away from the axis propor- tional to 1/ r 2 propor- tional to 1/ r con- stant zero point- ing to- wards the axis point- ing away from the axis zero point- ing to- wards the axis point- ing away from the axis c. Two large and thin conducting plates, each of area A= 0.40 m 2 and charged with + Q and – Q respectively ( Q= 3.0 μ C), are sandwiching a d= 0.20 mm thick insulating sheet with dielectric constant K= 4.0. Circle all correct answers, and give numerical results: The field in between the plates is … The field every- where else is … The capacitance is … The voltage difference be- tween the plates is … propor- tional to the Area A point- ing from the + Q plate to the – Q plate propor- tional to sepa- ration dis- tance d propor- tional to the charge Q approx prox- imately zero con- stant and non- zero 8 0 5 7.08 10 F 7.08 10 pF A CK d   pF 8 3.0 μ C 42.3 V Q V C V d. An uncharged solid conducting sphere of radius R contains an off-center cavity. A positive point charge +Q is placed somewhere inside the cavity, not touching the cavity wall; see the Figure.
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This note was uploaded on 04/11/2010 for the course PHY 131 taught by Professor Rijssenbeek during the Spring '03 term at SUNY Stony Brook.

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PHY132_S10_M1_Solutions - ID Number: LAST Name: FIRST Name:...

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