Voltage and Current Dividers

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Voltage Division

When we have a voltage source and resistors connected in series, we can express the voltage across a resistor as a ratio of voltages and resistances, without ever knowing the current.

File:Voltage division1.jpg

In the circuit above,

or

We can generalize this equation for number of resistances in series with the equation:

where is the voltage across the whole string of resistors.

Current Division

When we have a