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E&M Review AP Physics C 1. Describe Millikan’s Oil Drop experiment. What was the major conclusion? 2. Which is conclusive proof that an object has a net charge: that it is attracted to another object or that it is repelled by another object? Explain. 3. If a negative force is calculated between two charged objects, what can you say about the nature of the charge on each object? 4. Complete the following table: Name Formula Coulomb’s Law Electric Field 2 versions! Electric Potential Difference 2 versions! Electric Flux Gauss’ Law Units Description A 1/r2 law that describes the force between charged particles. E is the negative gradient of . 5. Draw the electric field for the arrangements below. Indicate the direction of force on the electron drawn. +Q y z σ x ∞ plane 6. Two point charges of unknown magnitude and sign are a certain distance apart. If the electric field is zero at a point to the right of them on the line joining them, you can draw what conclusions? 7. Derive an equation to calculate the acceleration of a charge in an electric field. 8. Draw 3 situations in which Gauss’ Law would be a good way to determine the net charge present or the value of the electric field. 9. Complete the following chart: Charge distribution Formula Δ charge Linear (λ) λ= Q/L dq= Surface ( ) dq = Volume ( ) dq = 10. Use Gauss’ law to find the electric field strength a distance r from an infinite line of positive charge. 11. Determine the electric field strength at a distance r from an infinite plane of charge. 12. Two hollow conducting spheres are concentric. The inner sphere has a net charge of +Q. The outer sphere is neutral. Draw the spheres, label the charge values on the inner and outer surfaces of each sphere, and draw any electric field lines that may be present. 13. If the spheres above have radii of a for the inner and b for the outer sphere, use Gauss’ Law to determine the electric field for r<a, a<r<b, and r>b. 14. What is measured with the electron-Volt? How is it related to the normal SI unit for this measurement? 15. How are equipotentials related to electric field lines? 16. Four charges (+q, +q, -q, -q) are arranged at the corners of a square. Calculate the magnitude of the electric field and the potential difference at the center of the square of side s. 17. Graph E vs. r and V vs. r for a hollow conducting sphere. 18. Define capacitance. Give the equation for the capacitance of a parallel plate capacitor. 19. Explain 3 ways to increase the capacitance of a capacitor. 20. Why is the energy stored in a capacitor less than the energy associated with moving the same amount of total charge through the same potential difference? 21. Calculate the potential difference and the charge on each capacitor in the circuit below. What is the equivalent capacitance? 3V 40 pF 20 pF 22. What factors affect the resistance of conductors? Explain their effects on resistance. 23. Analyze the circuit above. Label the current through each resistor as well as the potential difference across each resistor. 24. Explain how you would measure the current and voltage in a circuit. 25. What is a time constant in an RC circuit? (equation, symbol, meaning…) 26. Draw Q vs. t for a charging RC circuit. 27. Draw I vs. t for a discharging capacitor in an RC circuit. 28. A 2.4 microFarad capacitor is charged by a 2.0 V battery. When the capacitor discharges through an unknown resistor, the time constant is 15 ms. What is the value of the unknown resistor? What was the maximum charge on the capacitor? 29. What is the major implication of Gauss’ Law for magnetism? 30. A long wire carries a 2.5 A current horizontally North. Give the magnitude and direction of the magnetic field 10 cm away from the wire. 31. Calculate the force on the wire the right if the magnitude of B is segment to 1.5 Tesla. 32. A velocity selector is used to sort particles. What is the required velocity for a proton to pass undeflected through the following fields? B = 0.22 T; E = 3.3x104 N/C. 33. In a mass spectrometer, an electron moving speed of 1.0 x 108 m/s horizontally into a field of 5.0 x 10-3 T. What is the radius of the path? with a magnetic resulting 34. Electric and Magnetic fields can affect the motion of charged particles. Explain how the forces from each are similar and different. Include labeled diagrams and examples.