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7. (Optional) Given a parallel RLC circuit (below) with wo =10rad/s, Q = 1/2, findthe impulse response (vc is the output): Directly, by writing the circuit differential equation. Intuitively, what

are thevalues of vc(0+), and vc'(0+)? b. By replacing the elements shown in the dashed box with the Norton equivalent.Hint: Construct a Norton network comprising a parallel current source i,(t) andthe inductance L'. By equating the short circuit current, and open circuit voltageof the Norton and Thevenin circuits, determine i, and L'.

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