how does a Bio major need this also answer this question ? The circuit shown bel

Question

how does a Bio major need this also answer this question ?

The circuit shown below contains an adjust resistor R between 0 and 100k ohm. Solve the following problems by replacing the portion of the circuit as indicated by the arrows with its Thevenin equivalent. Determine the maximum value of the current ia that can be obtained by adjusting R. Determine the corresponding value of R. Determine the maximum value of the voltage va that can be obtained by adjusting R. Determine the corresponding value of R. Determine the maximum value of the power supplied to the adjustable resistor that can be obtained by adjusting R. Determine the corresponding value of R.

Explanation / Answer

a) Rth = (18 II (12+24) ) =12 k ohm

current in 18 ohm I1 = (36/(36+18))*2 =1.33 mA

Vth = -18*(1.33) = -24 V

Ia = (24+12)/(R+12)

for Ia max R=0

Iamax = 3 mA

b) Va = Ia*R = (36R)/(R+12)

for max Va

dVa/dR = 23*[ (R+12 - R] >0

for max value of Va

R = 100 kohm

Vamax = 32.14 V

c) for Pmax

R = Rth =12kohm

P =V^2/R

Pmax = (12+24)^2/12 mW = 0.108W

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