Certainly! Let's analyze each given formula to determine which one is used to calculate the current flowing through a circuit.
1. [tex]\( R = E \times I \)[/tex]:
- This formula suggests that resistance ([tex]\( R \)[/tex]) is equal to voltage ([tex]\( E \)[/tex]) multiplied by current ([tex]\( I \)[/tex]). This is incorrect because it does not align with Ohm's Law.
2. [tex]\( I = E \div R \)[/tex]:
- This formula states that the current ([tex]\( I \)[/tex]) is equal to the voltage ([tex]\( E \)[/tex]) divided by the resistance ([tex]\( R \)[/tex]). According to Ohm's Law, this relationship is correct. Current ([tex]\( I \)[/tex]) through a conductor is directly proportional to the voltage ([tex]\( E \)[/tex]) across it and inversely proportional to the resistance ([tex]\( R \)[/tex]).
3. [tex]\( R = E \div I \)[/tex]:
- This formula indicates that resistance ([tex]\( R \)[/tex]) is equal to voltage ([tex]\( E \)[/tex]) divided by current ([tex]\( I \)[/tex]). This is another form derived from Ohm's Law, [tex]\( R = E / I \)[/tex], but it is used to calculate resistance, not current.
4. [tex]\( I = E \times R \)[/tex]:
- This formula suggests that current ([tex]\( I \)[/tex]) is equal to voltage ([tex]\( E \)[/tex]) multiplied by resistance ([tex]\( R \)[/tex]). This is incorrect as it contradicts Ohm's Law.
After analyzing all the given options, the correct formula to calculate the current ([tex]\( I \)[/tex]) flowing through a circuit is:
[tex]\[
I = \frac{E}{R}
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{2}
\][/tex]
