ww R1
An inductor with inductance L = 0.200 H and negligible resistance is connected to a battery, a switch S, and two resistors, R1 = 8.00 Ω and R2 = 6.00 Ω. The battery has emf 48.0 V and negligible internal resistance. S is closed at t = 0
. (a) What are the currents i1, i2, and i3 just after S is closed?
(b) What are i1, i2, and i3 after S has been closed a long time?
(c) Apply Kirchhoff’s rules to the circuit and obtain a differential equation for i31t2. Integrate this equation to obtain an equation for i3 as a function of the time t that has elapsed since S was closed.
(d) Use the equation that you derived in part (c) to calculate the value of t for which i3 has half of the final value that you calculated in part (b).
(e) When i3 has half of its final value, what are i1 and i2?
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