Question

The electric power P of a direct current circuit is jointly proportional to the voltage V and the electric current I. Find a mathematical model for the verbal statement.

Answer 1

The mathematical model for the verbal statement is P = IV.

Step-by-step explanation:

The mathematical model for the verbal statement that the electric power P of a direct current circuit is jointly proportional to the voltage V and the electric current I can be expressed as:

P = IV

This equation gives the electric power consumed by a circuit with a voltage drop of V and a current of I.

For example, if we consider a circuit with a voltage drop of 12V and a current of 0.12A through a resistor of 100Ω, the power consumed in that circuit would be:

P = (12V)(0.12A) = 1.44W