One of the most useful circuits to know is the Voltage Divider. The purpose of t

Question

One of the most useful circuits to know is the Voltage Divider. The purpose of the circuit is to divide an input voltage by a fixed amount, producing a smaller output voltage. The voltage divider circuit is shown below:

[a] Derive an expression for V_out in terms of Vin, R1, and R2, where Vout is the voltage across R2.

[b] Design a voltage divider that will take a 10 V input voltage and deliver 2.0 V. Pick realistic values of R1 and R2 (i.e, values in the 10 ? range to 1 M? range).

[c] Design a voltage divider that will take a 10 V input voltage and deliver 2.0 V into a load that has a resistance somewhere between 1 to 100 k?. Make sure that the voltage drops no more than 0.2 V when the load is connected. What values of R1 and R2 would you use?

Explanation / Answer

a) current through the ckt, i = Vin(R1+R2)

now voltage acorss R2, V2 = i*R2 = Vin*(R2/(R1+R2))

b) take R1 = 40 ohms and R2 = 10 ohms

then V2 = 10*(10/(10+40)) = 2 volts

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