Workshop Tutorials for Biological and Environmental Physics3.docx - Electricity and Magnetism Regular Electricity and Magnetism Worksheets and Solutions

Workshop Tutorials for Biological and Environmental Physics3.docx

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Electricity and Magnetism Regular Electricity and Magnetism Worksheets and Solutions ER1: Charge and Coulomb’s Law 3 ER2B: Electric Fields 7 ER2T: Electric Fields 11 ER3: Flux and Gauss’ Law 15 ER4B: Electric Potential 19 ER4T: Electric Potential 23 ER5B: Capacitance 27 ER5T: Capacitance 31 ER6: Circuits 35 ER7B: Magnetic Fields 39 ER7T: Magnetic Fields 43 ER8: Electromagnetic Induction 47 ER9: Applications of Electromagnetism 51 ER10: Circuits II 55 ER11: AC Circuits 59 2 Workshop Tutorials for Physics ER1: Charge and Coulomb’s Law A. Qualitative Questions: 1. Which of the following effects are fundamentally electrical in nature? Briefly discuss the origin of each effect. a. tension in a spring, b. “crackles” when you take clothes off, c. “crackles” from walking on dry leaves, d. the spiral structure of galaxies, e. nerve conduction, f. nuclear fission, g. the auroras, 1
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h. pressure in a gas. 2. In a simple (but not very accurate) model of the helium atom, two electrons (each of charge = - e) orbit a nucleus consisting of two protons (charge = +2 e ) and two neutrons (charge = 0). Is the magnitude of the force exerted on the nucleus by one of the electrons less than the force exerted on the electron by the nucleus? Explain your answer. B. Activity Questions: 1. Tape Charge Stick two strips of tape on the desk, then peel them off. Hang them close to each other and see what happens. Explain your observations. 2. Electroscope and electrophorus Charge up the plate using the electrophorus, by first rubbing the lower plate with the rubber glove, then placing the metal plate on the lower plate. Before the upper plate is removed, touch the top of the metal plate with your finger. Explain how the metal plate becomes charged. One can separate the electroscope leaves by both touching and not touching the electroscope with the metal plate. Explain how. 3. Charged rods Charge up the rods using different materials. How do the items get charged? Balance a charged rod on a watch glass. How can you accelerate it without touching or blowing on it? C. Quantitative Questions: 1. Newton’s law of gravitation says that the magnitude of the force between any two objects with mass is proportional to the masses of the objects and decreases with the square of the distance between them: Gm 1 m 2 F G = r 2 . a. How is Newton’s law of gravitation similar to Coulombs law? How is it different? In a simple (but not very accurate) model of the hydrogen atom, an electron orbits the nucleus at a mean distance of 5.29 × 10 -11 m. The nucleus (a proton) has a mass of 1.67 × 10 -27 kg and the electron has a mass of 9.11 × 10 -31 kg. b. What is the ratio of the gravitational force to the electrostatic force acting on the electron due to the nucleus? Data:
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G = 6.67 × 10 -11 N.m 2 .kg -2 ε 0 = 8.85 × 10 -12 N.m 2 .C -2 e = 1.6 × 10 -19 C 2. Rebecca and Brent are putting up their Christmas decorations ready for Christmas Eve. Brent hangs a pair of glass-ball Christmas tree decorations from a single 40 cm long thread looped over a pin as shown. Rebecca
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