Hi, I need help with Part B of thefollowing question. Thanks! a) I have a voltag

Question

Hi, I need help with Part B of thefollowing question. Thanks!

a) I have a voltage divider built from two resistors. The firstresistor, R1, has a resistance of 7.00 k. Thesecond, R2, has a resistance of 3.00 k. There is a voltage, Vin, of 12.00 volts applied acrossthe two resistors in the divider. What is the current, inmilli-Amperes (mA), through the divider? What is the output voltageof the divider at R2? Give results to two numbers afterthe decimal point.

b) We are building a second divider. We wantVout to be one tenth of Vin. If R1is 18.00 M, what resistance should R2 have? (1.00M = 1.00x106 ). Give results to two numbersafter the decimal point.

Explanation / Answer

. 1.   Assume that Vout is the voltagemeasured across R2. . 2.   V2 = (1/10)*V1 3.   V2 = [(R2)/(R1+R2)]*V1    ;   voltagedivider rule 4.      (1/10) =[(R2)/(R1 + R2)] 5.   (R2) = [(R1) +(R2)]/10 6.   (R2) = (R1)/10 +(R2)/10 7.   (R2) - (R2)/10 =(R1)/10 8.   9*(R2) = (R1) 9.   R2 =(R1)/9 . 10.   R2 = (R1)/9 =(18.00M)/9.00 = 2.00M . .

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