Please answer question (c). Ignore questions 2 &3. Calculate the voltage V out f

Question

Please answer question (c). Ignore questions 2 &3.

Calculate the voltage V out for the modified circuit shown in Figure 2.4(b) with R3 = 10 M ohm and the other components unchanged. What is the diameter of a typical copper wire 6-ft long if its resistance (at room temperature) is 0.1 ohm? Assume that the resistivity of copper at room temperature is 1.68 mu ohm-cm. What is the maximum error in measuring the diameter that you can tolerate if the resistance is to have a 1% uncertainty? The American standard wire gauge gives a logarithmic measure of the diameter of a wire. Figure 2.4 Voltage dividers

Explanation / Answer

R3 and R2 are in parallel So R3//R2 = R3*R2/(R3+R2) Total resistance = R1 + R3*R2/(R3+R2) =( R1R3 +R2R1+R3R2)/(R3+R2) So I = V*(R3+R2)/( R1R3 +R2R1+R3R2) So Vout =V-IR1 = V- V*(R1R3+R2R1)/( R1R3 +R2R1+R3R2) =V*(R3R2)/( R1R3 +R2R1+R3R2) Put the values .

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