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Figure 2 of 2
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. For the given circuit (Figure 1), assume the make-before-break switch has been up for a long time and moves down at t=0. Find the initial current through the inductor. Assume that Is?=77.0 mA,R1?=72.0k?,R2?=92.0k?, and L=75.0mH. The natural response of an RL circuit is the response of the indugtor cursent to the Express your answer to three significant figures and include the appropriate units. X Incorrect; Try Again; 2 attempts remaining It appears you have found the current through the resistor, R1?. Find the current through the resistor in series with the inductor. You may want to review Hint 3 . Find the symbolic expression for the current through R2? : - Part B - Find the time constant, t, after t=0 The diagram (Figure 2) shows the circuit the instant after t=0. Find the time constant, ?. Assume that Is?=77.0 mA,R1?=72.0k?,R2?=92.0k?, and L=75.0mH. Express your answer to three significant figures and include the appropriate units. - 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 Is?,R1?,R2?, and L.