Induced Voltages and Inductance19120.44The current in the RLcircuit at time tis (1tIeR)τε−=−. The potential difference across the resistor is ( )1tRVRIe−∆== −, and from Kirchhoff’s loop rule, the potential difference across the inductor is ( )11ttLRVVeeεε−−∆=−∆==(a) At 0t=, ( )()01RVe0−− = −=(b) At t=, ( )( )116.0 V10.3683.8 VR−− =−=(c) At 0t=, 06.0 VL−==(d) At t=, 16.0 V0.3682.2 VL−==20.45From ( )max1teII−, max1tIeI−If max0.900II=at , then 3.00 st=3.00 se−0.100=or 3.00 s1.30 sln 0.100−Since the time constant of an RLcircuit is =, the resistance is 2.50 H1.91.30 s=2
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