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

   Output voltage ( voltage acrossR2)   Vout   =   Vin* R2 /(R1   +   R2)    Given      Vout      =   (1/10)*Vin      =>   Vin /10   =   Vin *R2 / ( 18.00 * 106 +R2)    1/10   =   R2/ ( 18.00 * 106 + R2)    10 *R2   =   18.00 *106   +   R2    =>   R2   =   18.00* 106 /2   =   9.00   M    =>   R2   =   18.00* 106 /2   =   9.00   M

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