4.9 Given that I 4 amps when Vs 40 volts and Is 4 amps and I 1 amp when Vs 20 volts and Is 0, use superposition and linearity to determine the value of I when Vs 60 volts and Is 2 amps.

I = 2amps

Explanation:

Parameters given:

I = 4 amps when Vs=40 volts and Is=4 amps;  

 I =1 amps when Vs=20 volts and Is=0

Determine the value of I when Vs=60 volts and Is = -2 amps

SOLUTION

Note that it is linear

If I = 1 amp when Vs = 20 and Is = 0 then

I = 2 amps when Vs = 40 volts and Is = 0 (linearity).

Hence,  I = 2 amps (4–2) when Vs = 0 and Is=4amps (superposition).

      thus, we can solve for I;

               I = 1(60/20) + 2(–2/4) = 3–1

                 = 2amps

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explanation: