# Voltage Divider

This voltage divider produces an output voltage, Vo, that is proportional to the input voltage, Vs. The output voltage is measured using a voltmeter. The input voltage is the voltage of the voltage source. The constant of proportionality is called the gain of the voltage divider. The value of the gain of the voltage divider is determined by the resistances, R1 and R2, of the two resistors that comprise the voltage divider.

The values of the input, Vs, and of the resistances, R1 and R2, can be adjusted using the scroll bars.

### Challenges:

1. Set R1 = 20000 and R2 = 40000. Predict the value of Vs required to cause Vo = 2.0. Use the scrollbars to check your prediction. (This is a linear circuit. Notice that doubling the input Vs causes the output Vo to double.)

2. Set R1 = 20000 and R2 = 40000. Determine the range of output voltage that can be obtained by adjusting the input voltage.

3. Set R1 = 20000 and Vs = 10. Predict the value of R2 required to cause Vo = 7.5. Use the scrollbars to check your prediction.

4. Set R1 = 20000 and Vs = 10. Determine the range of output voltage that can be obtained by adjusting the resistance R2.

5. Set Vs = 8. Adjust R1 and R2 so that Vo = 2.

6. Adjust R1 and R2 so that R2 = 4*R1. Measure the value of the gain of the voltage divider.

7. Adjust R1 and R2 so that R1 = 4*R2. Measure the value of the gain of the voltage divider.

8. Adjust R1 and R2 so that R2 = R1. Measure the value of the gain of the voltage divider.

9. Adjust R1 and R2 so that the value of the gain of the voltage divider is 0.9.

10. Determine the largest value of gain that can be obtained when R2 > R1.