Vin For a source, Vin (t) = 10u(t) R8 www 1k L1 0.1 Vout a) Draw the t = 0 circuit, with the inductor at DC steady state

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Vin For A Source Vin T 10u T R8 Www 1k L1 0 1 Vout A Draw The T 0 Circuit With The Inductor At Dc Steady State 1 (79.16 KiB) Viewed 41 times

Vin For a source, Vin (t) = 10u(t) R8 www 1k L1 0.1 Vout a) Draw the t = 0 circuit, with the inductor at DC steady state. b) Determine the current through the inductor at t = 0. c) Draw the t = 0 circuit, enforcing current continuity for the inductor. (Replace the inductor with an appropriate circuit component). d) Determine the t=0* current through the inductor. e) Draw the t→→∞ circuit, with the inductor at DC steady state. f) Determine the t → ∞ current through the inductor. g) Determine the particular solution of the Problem 1, part 3 differential equation (your part f answer when the source is a step function.) h) Determine the differential equation for the inductor current in Problem 1, part 3. Using the same process we used for the RC circuit in class, determine the homogeneous solution of the inductor current, including the unknown coefficient. i) Apply the part c initial condition to the I(t) = In(t) + Ip(t) to determine the unknown coefficient of the homogeneous term. j) Write the expression for inductor current as a function of time, VL(t). k) Following the same procedure for solving first order differential equations (including finding the particular solution), for the same source, determine the inductor voltage as a function of time, IL(t).