Question

Which statement accurately describes how electrical power and current are related?

A. Current is always twice the amount of power.
B. Current increases as power increases.
C. Current is always half the amount of power.
D. Current decreases as power increases.

Answer 1

Electrical power is directly proportional to the square of the current and to the product of current and voltage. Thus, as current increases, power also increases, making option B the correct statement.

Step-by-step explanation:

The question addresses the relationship between electrical power and current in the context of electric circuits. According to Ohm's law and the formulas for electrical power, power is directly proportional to the square of the current (P = I²R) when resistance is constant. Additionally, power is also proportional to the product of current and voltage (P = IV).

With this in mind, if the current in a circuit increases, the power will increase as well. This is because any change in the current will affect the power dissipated by the resistor. For example, if you double the current through a resistor, the power dissipated by that resistor increases by a factor of four (since power is proportional to the square of the current).

Therefore, the correct statement that describes how electrical power and current are related is: B. Current increases as power increases.