Amy needs 5.0 V for some integrated circuit experiments. She uses a 7.0 V battery and two resistors to make a voltage divider. One resistor is 360 . She decides to make the other resistor smaller. What value should it have?
2/(360+R)=2/7
But Amy better calculate the load current of the load, or she will be in mucho trouble.
To find the value of the second resistor, we need to use the voltage divider equation:
Vout = Vin * (R2 / (R1 + R2)),
where Vout is the desired output voltage (5.0 V), Vin is the input voltage (7.0 V), R1 is the known resistor value (360 Ω), and R2 is the value we are trying to find.
Rearranging the equation to solve for R2, we have:
R2 = (R1 * Vout) / (Vin - Vout).
Now we can substitute the known values into the equation:
R2 = (360 Ω * 5.0 V) / (7.0 V - 5.0 V).
Simplifying the equation gives us:
R2 = (1800 Ω) / (2.0 V).
Performing the division gives us:
R2 = 900 Ω.
Therefore, to achieve a 5.0 V output voltage, the value of the second resistor should be 900 Ω.