Problem Set 12 Solutions

Problem Set 12 Solutions - MASSACHUSETTS INSTITUTE OF...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2007 Turn in at your table during class labeled with your name and group (e.g. L01 4A) Problem Set 12 Due: Wednesday, November 28 th at class beginning (before 10:15/12:15) This problem set focuses on material from week 12. Textbook references can be found at the top of the summaries from these days. Warm Up Problem 1: LC Circuit (a) Initially, the capacitor in a series LC circuit is charged. A switch is closed, allowing the capacitor to discharge, and after time T the energy stored in the capacitor is one- quarter its initial value. Determine L if C and T are known. (b) A capacitor in a series LC circuit has an initial charge and is being discharged. Find, in terms of L and C , the flux through each of the N turns in the coil at time t , when the charge on the capacitor is Q ( t ). 0 Q (c) An LC circuit consists of a 90.0-mH inductor and a 1.000- F μ capacitor. If the maximum instantaneous current is 0.100 A, what is the greatest potential difference across the capacitor? Sample Exam Problem… Problem 2: Solenoid Consider a long solenoid of length D and radius a with N turns, placed along the z-axis (it is centered at z=0). It is hooked in series with a capacitor C , a resistor R , and a power supply that is driving the circuit on resonance. At time t = 0 the current flowing through the solenoid is a maximum, I 0 . (a) At this moment (t = 0), calculate the magnetic field B 0 everywhere inside the solenoid. Show your work. (b) Calculate the self inductance L of the solenoid. Show your work. (c) Write an equation for the time dependence of the magnetic field
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Problem Set 12 Solutions - MASSACHUSETTS INSTITUTE OF...

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