Find the value of r that would provide critical damping

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An RLC circuit exists, with current flowing counter clockwise through it. R= 5.661 Ohms, L=20.2 mH, and C=157.6?F. Voltage across the capacitor is positioned so that the current meets the positive terminal first. The initial conditions are v(0+) = 0 and i(0+) = 669.4 A.

There are no independent source inputs. The inductor current, i, is considered to be the output.

a) Solve for natural response, in(t).

b) Find the value of R that would provide critical damping in a). All other parameters remain unchanged. Then solve for in(t).

c) Double the value of R that was used in a). All other parameters remain unchanged. Then solve for in(t).

Reference no: EM13270238

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