CH: Transient in R-L and R-C Circuit

• This Lecture contain
• Solved Numerical based on first order differential equation
• Target audience
• Beneficial for: Undergraduate and diploma student of EE, EC and IC branches for their semester examination. Also helpful for GATE and other competitive exams and Interview.

Note to remember

• The first order differential equation in the form of:

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• Solution :

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• Where, x could be voltage or current

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Note to remember

• Steps follow to solve the example:
• Draw equivalent circuit for t =0_- and calculate voltage or current as per requirement.
• Draw equivalent circuit for t ≥0 and Apply KVL, KCL or Node voltage analysis.
• Use generalize solution of first order differential equation.

3) To find out particular solution, or in other words constant ‘K’ use initial condition.

• In the series R-L circuit shown in fig. the switch ‘K’ is closed down position ‘1’ at time t=0, switch is moved from position ‘a’ to ‘b’ at time t=t’=50usec. Obtain the transient current in the interval 0<t<t’ and t>t’..

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• Solution:

Example-End

Note to remember

• Method-2:
• Total Solution=Final value+(Initial value-Final value)e^-t/τ :

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• In the network of fig. a steady state is reached with the switch ‘K’ is open. At time t=0, switch K is closed. Find the current in the inductor for t>0.

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