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Three charges, 1 nC, 3 nC and -2 nC are located in a two-dimensional plane with the following coordinates (in meters), respectively: (0,0), (3,0) and (3,4). Calculate the following: a. the resultant force at each of the charges b. the potential at pt. (0,4)

Three charges, 1 nC, 3 nC and -2 nC are located in a two-dimensional plane with the following coordinates (in meters), respectively: (0,0), (3,0) and (3,4). Calculate the following: a. the resultant force at each of the charges b. the potential at pt. (0,4)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. Three charges, 1 nC, 3 nC and -2 nC are located in a two-dimensional plane with the following coordinates (in meters), respectively: (0,0), (3,0) and (3,4). Calculate the following: a. the resultant force at each of the charges b. the potential at pt. (0,4) c. the electric field at pt. (0,4) 2. A 1.5-m wire measuring 1.5 m³ has a resistance of 0.955-µN at 20 °C. Calculate the resistance of the wire at 20 °C if the length is changed to 150-m and its area to 450-cm2. 3. A 1-km cable consists of 12 identical strands of aluminum, each 3mm in diameter. What is the resistance of the cable? (Hint: the 12 strands resemble 12 resistances in parallel, each resistance being the resistance of each strand). 4. A conductor has a resistance of 7-2 at 0°C. At 20 °C, its temperature coefficient is 0.00333. Find its resistance at 10 °C. 5. An electric heater takes 23.889 kcal in 20 minutes at 200 V. What is the current drawn by the heater? (Hint: 4.186 J = 1 cal) %3D 6. How many electrons pass in a given point in 40 seconds in a conductor carrying 10 Amperes? 7. Two resistors in series rated 4 Q and 6 Q are connected in parallel with a 10 Q resistor. The total parallel combination is connected in series with a 7 Q resistor and the whole circuit is supplied by a 12-V battery. Determine the following: a. The total resistance b. The total current
Transcribed Image Text:1. Three charges, 1 nC, 3 nC and -2 nC are located in a two-dimensional plane with the following coordinates (in meters), respectively: (0,0), (3,0) and (3,4). Calculate the following: a. the resultant force at each of the charges b. the potential at pt. (0,4) c. the electric field at pt. (0,4) 2. A 1.5-m wire measuring 1.5 m³ has a resistance of 0.955-µN at 20 °C. Calculate the resistance of the wire at 20 °C if the length is changed to 150-m and its area to 450-cm2. 3. A 1-km cable consists of 12 identical strands of aluminum, each 3mm in diameter. What is the resistance of the cable? (Hint: the 12 strands resemble 12 resistances in parallel, each resistance being the resistance of each strand). 4. A conductor has a resistance of 7-2 at 0°C. At 20 °C, its temperature coefficient is 0.00333. Find its resistance at 10 °C. 5. An electric heater takes 23.889 kcal in 20 minutes at 200 V. What is the current drawn by the heater? (Hint: 4.186 J = 1 cal) %3D 6. How many electrons pass in a given point in 40 seconds in a conductor carrying 10 Amperes? 7. Two resistors in series rated 4 Q and 6 Q are connected in parallel with a 10 Q resistor. The total parallel combination is connected in series with a 7 Q resistor and the whole circuit is supplied by a 12-V battery. Determine the following: a. The total resistance b. The total current
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