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Unformatted text preview: 246 Chapt. 32 Inductance and Inductors b) At what time (in numerals) does the current reach half its final value (i.e., half its value at time infinity)? 032 qfull 00420 3 3 0 tough math: solving a DE for an RL circuit 1 3. Its about time youall solved a differential equation (DE). Consider the simple oneloop RL circuit DE with a constant driving emf E (i.e., an emf, resistor and inductor in series): LI + IR = E . a) Draw a diagram of the circuit. b) Its easier to solve a homogeneous DE than an inhomogeneous one. Differentiate the DE to get a DE for I . c) Solve the DE of part (b) for the solution for I and integrate it for the general solution for I . The solution should have two undetermined constants that set by boundary conditions of the problem. Define an efolding time (or time contant) to be used in simplifying the solution. d) What is the formula for the power outflow from the circuit to the inductor for the special case of our system. HINT: A negative power outflow is a power inflow.A negative power outflow is a power inflow....
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 Fall '06
 Buchler
 Physics, Current, Inductance

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