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SHM, Waves, Thermo, E&M Practice Problem Workbook

SHM, Waves, Thermo, E&M Practice Problem Workbook

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MECHANICS PRACTICE PROBLEM SETS 40<br />

10.3 ELECTRICITY REVIEW<br />

1. Two charges are separated by 3.0 cm. Object A has a charge of + 6.0µC while<br />

object B has a charge of +3.0µC. What is the force on object A<br />

Answer: 180 N away from B<br />

2. A sphere with charge + 6.0µC is located near two other charged spheres. A -<br />

3.0µC sphere is located 40.0cm to the right and a + 1.5µC sphere is located 30.0<br />

cm directly underneath. Determine the net force (magnitude and direction) on the<br />

+ 6.0µC charge. Answer: 1.35 N at 42°<br />

3. A negative charge of 2.0 x 10 -8 C experiences a force of 0.060 N to the right in an<br />

electric field. What is the field magnitude and direction<br />

Answer: 3 x 10 6 N/C, to the left<br />

4. What is the magnitude and direction of the electric field at a point midway<br />

between a - 8.0µC and a + 6.0µC that are 4.0 cm apart.<br />

Answer: 3.15 x 10 8 N/C toward negative<br />

5. An electron acquires 3.45 x 10 -16 J of kinetic energy when it is accelerated by an<br />

electric field in a computer monitor from plate A to plate B. What is the potential<br />

difference between the plates and which plate has a higher potential<br />

Answer: 2.15 x 10 3 V; Plate B is higher<br />

6. Two parallel plates are connected to a 100-V power supply and are separated by<br />

an air gap. How small can the gap be if the air is not to exceed its breakdown<br />

value of E = 3 x 10 6 V/m<br />

Answer: 3.3 x 10 -5 m<br />

7. An automobile headlight with a resistance of 30 Ω is placed across a 12-V<br />

battery. What is the current through the circuit Answer: 0.40 A<br />

8. A bird stands on an electric transmission line carrying 2500 A. The resistance per<br />

meter of the line is 2.5 x 10 -5 Ω/m. If the bird’s feet are 4.0 cm apart, what voltage<br />

does the bird feel<br />

Answer: 0.0025 V<br />

9. What is the diameter of a 1.00-m length of tungsten wire whose resistance is 0.22<br />

Ω The resistivity of tungsten is 5.6 x 10 -8 Ω•m. Answer: 5.7 x 10 -4 m<br />

10. Suppose the resistance in a copper wire with a diameter of 1.02 mm carrying 1.67<br />

A has a resistance of 1.05 Ω at 20°C. What is the resistance at 0°C and 100°C if<br />

the temperature coefficient for copper is 0.00393°C -1 Answer: 0.97 Ω; 1.38 Ω<br />

11. What is the maximum voltage that can be applied to a 2.7-kΩ resistor rated at<br />

0.25 Watts Answer: 26 V<br />

Gamzon & Gregorian-Michaelsen 6/13/12

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