**The Short-Circuit**

Consider a resistor whose value is zero ohms. An equivalent representation of such a resistance, called a *short-circuit*, is shown below:

By Ohm’s Law: ( For short Circuit, R = 0 )

*v *= *Ri *= 0*i *= 0 V

Thus, no matter what finite value *i*(*t *) has, *v*(*t *) will be zero. Hence, we see that a *zero-ohm resistor *is equivalent to an *ideal voltage source whose value is zero volts*, provided that the current through it is finite.

**The Open-Circuit**

Consider a resistor having infinite resistance. An equivalent representation of such a resistance, called an *open-circuit*, is shown below:

By Ohm’s Law: ( For short Circuit, R = ∞ )

*i *= *v/**R *= *v/∞** *= ∞ A

Thus, no matter what finite value *v*(*t *) has, *i*(*t *) will be zero. Thus, we may conclude that an *infinite resistance *is equivalent to an *ideal current source whose value is zero amperes*, provided that the voltage across it is finite