Voltage division.
How can i calculate the ohms in two resistors ( R1 and R2 ) when im given the voltage across the current(Vs)= 10 and the voltage divider (V-out) = 6V?
To calculate the resistance values of two resistors (R1 and R2) in a voltage divider circuit, you can use the voltage division formula:
V_out = Vs * (R2 / (R1 + R2))
Given that Vs is 10V and V_out is 6V, we can substitute these values into the formula and solve for the unknown resistances.
6V = 10V * (R2 / (R1 + R2))
To simplify the equation, let's multiply both sides by (R1 + R2) to eliminate the fraction.
6V * (R1 + R2) = 10V * R2
Now, distribute 6V across (R1 + R2).
6V * R1 + 6V * R2 = 10V * R2
Next, move all terms involving R2 to one side of the equation.
6V * R1 = 10V * R2 - 6V * R2
6V * R1 = 4V * R2
Finally, divide both sides of the equation by 4V to isolate R2.
(R1 / 4V) = R2
So, the value of R2 can be calculated as R1 divided by 4V.
Note that we cannot determine the exact values of R1 and R2 without additional information. We are only able to find the ratio between R1 and R2 using the given equation.