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In: Electrical Engineering

From 1+K*L(s)=0 L(s) = 1/((s+1)(s+2)(s+10)) Solve for gain K where the root locus passes through the...

From 1+K*L(s)=0

L(s) = 1/((s+1)(s+2)(s+10))

Solve for gain K where the root locus passes through the damping ratio. z=0.176. With out Matlab. Please show all work.

Note: I know we need to use some trig and the magnitude criteria but u cannot seem to figure it out. Thank you!

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