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The values of the circuit parameters are notspecified , except that E = 81 V. In

ID: 1674924 • Letter: T

Question

The values of the circuit parameters are notspecified, except that E = 81 V.

In the circuit above, the switch S is initially open. Att = 0, S is closed. At t = 1 ms, the currentthrough the battery is I = 6 A . After a long time, thiscurrent reaches a steady-state value I = 12 A.

(a) Find the time constant for this circuit.

t = s     *
.00144   OK

HELP:  When the switch is closed, itestablishes the "textbook-standard current-buildup" RL circuit.(This is a direct analog to the "textbook-standard charge buildup"RC circuit.) The mathematical form for the current in theRL case is identical to that for the charge in the RCcase. (Consult your textbook or lecture notes.) Write down themathematical form of the current-buildup equation for arbitraryt treating the maximum current and time constant asalgebraic parameters to be determined.

(b) Find the value of R.

R = W     *
6.75   OK

(c) Find the value of L.

L = H    
4.69E3   NO

HELP:  Recall the expression for thetime constant in terms of R and L.
HELP:  Solve for L , using thevalues of R1 and t found in parts (b) and (a),respectively.

Explanation / Answer

= L/R L = .R = 9.72E-3