assignment06

assignment06 - Massachusetts Institute of Technology...

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Massachusetts Institute of Technology Department of Physics Physics 8.022 - Fall 2002 Assignment #6 Spacetime in Special Relativity and review on Current, Resistance, Ohm's Law EMF, Circuits, Kirchhoff's Rules, RC Circuits Reading Purcell Chapter 4 and Appendix I (pages 451-458), handout on Special Relativity by Prof. Fisher. Problem Set #6 Work on all problems. Not all problems receive equal points. Total points for this set is 100. z (20 points) [1] RC circuit: qualitative analysis. Three resistors ( R 1 , R 2 and R 3 ), a capacitor C and an Emf E are connected as shown in the figure below. Let us denote V R 1 = V a - V b , V R 2 = V b - V d , V R 3 = V b - V e and V C = V e - V d . The capacitor is assumed uncharged at t=0 when we ``close'' the switch S . { Perform a qualitative analysis of the circuit and derive the values for V R 1 , V R 2 , V R 3 , V C as well as of the currents I R 1 , I R 2 , I R 3 flowing through the resistors for a time immediately after the switch S is closed, i.e. { ). Perform the same qualitative analysis of the circuit after infinite time elapses (i.e.,
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{ Plot the values of the above 7 quantities you have calculated at and and estimate their behaviour for the times t in between 0 and . { Following infinite time since we closed the switch
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