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Solve Problems Using Laplace Transforms

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Calculate and graph the output voltage in the RL circuit of the above circuit if:

E(t) = k when t greater than or equal to 0 and less than 5

E(t) = 0 when t greater than or equal to 5

The current is initially 0

See attached file for full problem description.

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Solution Preview

Please see the attached file.

The sum of the potentials on the inductor and the resistor must be equal the potential of the source:


The time dependent differential equation is:

Applying ...

Solution Summary

This solution provide step by step analysis for calculating and graphing output voltage.