Final answer:
The voltage divider formula is used to calculate the output voltage from a circuit with resistors in series, based on the resistance values and the input voltage.
Step-by-step explanation:
The firm and stiff voltage divider formula refers to a circuit configuration that uses resistors to divide the input voltage (Vin) to get a reduced output voltage (Vout). The formula for a voltage divider with two resistors, R1 and R2, connected in series is given by:
Vout = (R2 / (R1 + R2)) × Vin
For a circuit with more than two resistors, the output voltage across a specific resistor (Rx) in the series is:
Vout = (Rx / (R1 + R2 + ... + Rx + ... + Rn)) × Vin
It is essential to understand the concept of Ohm's Law, V = I × R, which is the foundational principle behind the voltage divider. These formulas are used to calculate the potential drop across resistors or to design circuits to obtain desired voltage levels at different points in the circuit.