In order to understand the relationship between voltage [tex]\( V \)[/tex], current [tex]\( I \)[/tex], and resistance [tex]\( R \)[/tex], we use a fundamental principle of electrical circuits known as Ohm's Law.
According to Ohm's Law, the voltage [tex]\( V \)[/tex] across a resistor in a circuit is directly proportional to the current [tex]\( I \)[/tex] flowing through the resistor and the resistance [tex]\( R \)[/tex] of the resistor. The formula can be written as:
[tex]\[ V = I \times R \][/tex]
Let's examine each of the given options one by one:
Option A: [tex]\( V = \frac{1}{R} \)[/tex]
- This suggests that voltage is the reciprocal of resistance. However, this does not take into account the current [tex]\( I \)[/tex]. This is not correct.
Option B: [tex]\( V = I \times R \)[/tex]
- This aligns perfectly with Ohm's Law. Voltage [tex]\( V \)[/tex] is indeed the product of current [tex]\( I \)[/tex] and resistance [tex]\( R \)[/tex]. This is correct.
Option C: [tex]\( V = I + R \)[/tex]
- This suggests that voltage is the sum of current and resistance. This does not match Ohm's Law. This is incorrect.
Option D: [tex]\( V = I - R \)[/tex]
- This suggests that voltage is the difference between current and resistance. Again, this does not match Ohm’s Law. This is incorrect.
Based on the examination of each option, the correct answer is:
B. [tex]\( V = I \times R \)[/tex]
