The circuit shown is at steady state before the switch closes. The inductor currents are both zero before the switch closes (i1(0) = i2(0) = 0). The voltage across the 2H-inductor is 4e-5t V for t > 0, otherwise 0V for t < 0. (a) Determine the inductor currents i1(t) and i2(t) for t ≥ 0. (b) Determine the energy stored by each inductor 200ms after the switch closes. (c) In the equivalent inductor (for the parallel inductors) determine the (i) current and the (ii) energy stored for 200 ms after the switch closes. Answer: 0.4(1 − e−5t) A, 0.1(1 − e−5t) A, 16.0mJ, 63.9mJ, 316mA,
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
The circuit shown is at steady state before the switch closes. The inductor currents are both zero before the switch closes (i1(0) = i2(0) = 0). The voltage across the 2H-inductor is 4e-5t V for t > 0, otherwise 0V for t < 0. (a) Determine the inductor currents i1(t) and i2(t) for t ≥ 0. (b) Determine the energy stored by each inductor 200ms after the switch closes. (c) In the equivalent inductor (for the parallel inductors) determine the (i) current and the (ii) energy stored for 200 ms after the switch closes. Answer: 0.4(1 − e−5t) A, 0.1(1 − e−5t) A, 16.0mJ, 63.9mJ, 316mA, 79.9mJ
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