Answer to Question #308738 in Electric Circuits for stuti

Question #308738

Find out the inductor current equation for an RL circuit with step response, assume the initial current through the inductor is 𝐼0.


1
Expert's answer
2022-03-13T18:49:49-0400

Circuit equation


0=iR+Ldidt0=iR+L\frac{di}{dt}

Solution to this equation


i=Aeβˆ’t/Ο„i=Ae^{-t/\tau}

Where Aβˆ’constant,Ο„=L/RA - constant, \tau = L/R

Initial conditions t=0; i=I0

Then A=I0A=I_0

Answer


i=I0eβˆ’tΟ„i=I_0e^{-\frac{t}{\tau}}

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