Question

The current i(t) in the circuit shown below is? (a) i(t)=(Vm/(R-jωL))e^tjω (b) i(t)=(Vm(R+jωL)) e^tjω (c) i(t)=(Vm(R-jωL)) e^tjω (d) i(t)=(Vm/(R+jωL)) e^tjω The question was asked during an interview. This interesting question is from Impedence Diagram in chapter Complex Impedence of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

Right choice is (d) i(t)=(Vm/(R+jωL)) e^tjω To explain: i(t)=Im e^tjω. Vm e^tjω=RIm e^tjω+L d/dt (Im e^tjω). Vme^tjω=RIm e^tjω+L Im(jω)e^tjω. Im = Vm/(R+jωL). i(t)=(Vm/(R+jωL)) e^tjω.