Question

Choose the equation that models the following statement: The current, I amps, produced by a battery is inversely proportional to the resistance, R ohms.

Answer 1

The equation that models the statement 'the current produced by a battery is inversely proportional to the resistance' is I = k/R, where I stands for current, R for resistance, and k for a constant of proportionality (assuming constant voltage).

Step-by-step explanation:

The statement that the current, I amps, produced by a battery is inversely proportional to the resistance, R ohms, refers to a fundamental concept in electrical circuits governed by Ohm's Law. This law can be expressed mathematically as I = V/R, where I is the current in amperes, V is the voltage in volts, and R is the resistance in ohms. When we say that current is inversely proportional to resistance, it implies that as resistance increases, current decreases and vice versa, holding voltage constant. Therefore, the equation that models the statement given would be I = k/R, where k is a constant of proportionality when the voltage is held constant.

Answer 2

The equation that shows the relationship between the current, I in amperes, and the resistance, R in ohms is the Ohm's Law: V=IR. In this equation, V can be the voltage of the battery. In the equation V=IR, the current and resistance are inversely proportional to each other.