Midterm1-sample.pdf - Midterm I SAMPLE Part I Concept...

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sphere 1 metal sphere 2 plastic R R R ε I 1 2 3 4 + _ I 6 Ω 6 Ω 12 μ F 12 V Midterm I SAMPLE Part I – Concept Questions (10 points each). 1. Consider 2 spheres on equal radius a, each carrying a total charge Q. Sphere 1 is made of metal and sphere 2 of plastic (uniformly distributed). (a) Whar are the electric fields inside both sphere ? (b) About outside the spheres ? (c) Explain your results in term of how charges behave. 2. Find C for a a cylindrical capacitor of length L inner radius a and outer radius b . (Hint: first, use gauss’s Law to get the electric field). 3. Consider the circuit on the right. (a) Draw the potential V from point1 to point 4. (b) Draw the current between 1 and 4. 4. We have two identical light bulbs. First I hook them up in series. Then I hook them up in parallel. In which case are the bulbs brighter? (The resistors represent light bulbs whose brightness is proportional to P = I 2 R through the resistor.). Please explain your answer. 5. Consider the circuit at right after the switch is closed (a) What is the initial current I? (b) What
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