You have a device that needs a voltage reference of 3.0 V, but you have only a 9.0 V battery. Fortunately, you also have several 10 k!1 resistors. Show how you can use the resistors and the battery to make a circuit that provides a potential difference of3.0 V.

Given Information:

Input voltage = Vin = 9 V

Resistors = R = 10 kΩ each

Output voltage = Vout = 3 V

Required Information:

How many 10 kΩ resistors would it take = ?

It would take three 10 kΩ resistors

Explanation:

We can make a voltage divider circuit that contains 3 resistors in series each having a value of 10 kΩ that will provide the desired voltage of 3 V.

Vout = Vin(R/Req)

If we choose 3 resistors of 10 kΩ each

Req = 10 + 10 + 10 = 30 kΩ

Vout = 9(10/30)

Vout = 9(1/3)

Vout = 3 V

Therefore, we would need three 10 kΩ resistors to get the desired voltage of 3 V.

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explanation:

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