Question

(written portion due 5/7/2019) Inductor and a Resistor in parallel A circuit with two resistors has one junction in it. The split has a resistor on one side and an inductor on the other a) Show a sketch of what the current in the inductor as a function of time and propose an equation that fits the plot. The solution should have a signature time in it. b) Using the junction rule, plot a sketch of what the current in R2 as a function of time. The solution should include the signature time proposed in part a) c) Also using the junction rule, what is the current in Rı as a function of time (use the guesses fronm a) and b) to build the function of current in Ri)? d) Using the loop rule, give an expression for the relationship between the voltage drops across Ri and R2

Answer 1

As per given data here at have to sketch the current in the inductor as a function of time and propose an equation the & it�s the plot, By observing given data at t = 0, we can voltage if applied then I(0) = V/R_1 + R_2 and at t = infinity, then I(infinity) = V/R_1 So Inductor 0 current is given by I_f(t) = I_2(0) (1 - e^-t/2) I_f(t) = V/R_1 (1 - e^-t/2) this expression and fig 1.0 shows the result of equation - (1) \r\n Now2 we need to plot a sketch the current in (2) r_2 as a fraction of time here we can find the initial current through R_2 at t = 0 t5han l^1_R_2 (0) = V/R_1 + R_2 and current through R_2 at to infinity, then l^1 r_2(infinity) = 0 then the l^1_R_2 (t) = V/r_1 + R_2) e^- t/2 - (2) similar from expression (1) here the pot of current in R_2 as a