Question

Longer Questions LITTLE OR NO CREDIT MAY BE EARNED FOR ANSWERS THAT DO NOT SHOW HOW YOU GOT THEM. Be sure to show your work. I will try to give you partial credit for correct steps if I can follow your logic. 16. (8 points) Consider a circuit containing a battery of voltage E, a switch S, resistors of resistances Ri and Rs, and an inductor with inductance L, as shown below. The switch has been closed for a very long time st R; d (a) (2 points) What is the current flowing through the inductor! (b) (3 points) What is the voltage difference across R, right after the switch is opened? (e) (3 points) How much enery will be dissipated by the two resistors after the switch is opened? Expo in terms of Ry, Ry, L, and/or E. (d) (2 point) How would the amount of time it take for most of the energy to be dissipated by the to change if the resistance Ry were increased? (Would the time increase, decree, or remain the same?)

Answer 1

Am ERI Voltage difference across R = RE Stored energy in inductor magnetic field E = + LIL 11.12 LE2 2 R₂2 this energy dissipated in resistor R, and R2 Energes dissipated by two resistors 2 R₂2 An LE2 In ce Theo Rz when switch is opened inductor stored energy ñ dissipated in two resistors. t ILLt) = e é th. R2 2= time constant L Ritra ń dissipated consider most of energe ta PT. P = multiple of = 1,2,- PL RitR2 then en decreared R, is increased, so, t also decreased Am The amount of time decreased.