According to Ohm's Law, the relationship between voltage (V), current (I), and resistance (R) in a circuit is given by the formula:
V = I * R
If the voltage (V) is zero, and we assume the resistance (R) is not zero, then the equation becomes:
0 = I * R
In this case, if the voltage is zero, the only way for this equation to be satisfied is if the current (I) is also zero. In other words, when there is no voltage across a circuit with non-zero resistance, there will be no current flowing through the circuit. This is known as an "open circuit."
On the other hand, if the resistance (R) were to be zero, then the equation would be:
V = I * 0
In this situation, any non-zero voltage would lead to an undefined value for the current (I), as any number multiplied by zero is zero. In practical terms, if you have a circuit with zero resistance, the current would become infinitely large, leading to a short circuit scenario, which is generally not desirable or safe.