Question

The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL circuit is the response of the inductor current to the sudden removal of a DC source. When this occurs, the inductor releases the stored energy Part C - For the original circuit, find an expression for the inductor current, i(t), for t > 0 Enter an expression for the inductor current, i(t), for t > 0. Express your answer as an algebraic expression in terms of I., R1, R2, and L. View Available Hint(s) a ? V AC Iveco i(t) = 41.62–1.54•101mA Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Figure 1 of 2 > Part D - For the original circuit, find an expression for the resistor voltage, v(t). for t2 0+ t=0 What is the expression for the voltage v(t) in V across resistor R, for t > 01? Choose the correct answer. ► View Available Hint(s) + 1:01 R2 O L*((R1 + R2)/L)(R/(R+R) +1,)elt/(L/(R1+R2))) T O R2*(R1/(R1 + R2) *1.)elt/(L/(R+R))) v(t) =

Answer 1

at +=0 ; Note: At steady state (Inductor short tited) so izco)= 12 (0*)= (Is) (Ri) Ritra at f=of The following discharging circuit i(t) = { cot) et 7 = time constant = h her to the So fict) = (Es)(R) : Retrz