# Circuit Theory/Shorted Resistors

!Circuit With a Short of Resistor
3 !The
effective circuit: Resistor 3 removed because not impacting the
circuit

A wire in the left circuit is shorting the 100Ω resistor. All current
will bypass the resistor and travel through the short. The voltage
across the 100Ω resistor is going to be zero. The 100Ω resistor is not
impacting the circuit. For analysis purposes, the 100Ω resistor can be
removed.

The real world wire is going to have some resistance, and a tiny trickle
of current will go through the resistor. The exact magnitude is going to
depend upon the amount of resistance in the wire. The ideal math would
involve infinity. So typically the assumption of a short is done by
redrawing the circuit. This is why redrawing circuits when making
assumptions (such as removing a resistor because of the short) is
important. 
