Question

Solve for the following: If voltage (V) varies directly as the current (I) and V=120 Volts when I=5.2 Amperes, determine V when I=3.5 amperes. (3)

Answer 1

Using the direct variation relationship between voltage and current, and the given values of 120 volts for 5.2 amperes, the voltage when the current is 3.5 amperes is found to be 80.78 volts.

Step-by-step explanation:

To solve for voltage V when the current I=3.5 amperes, we use the direct variation relationship between voltage and current. Given that V=120 volts when I=5.2 amperes, we can write the direct variation as V=kI, where k is the constant of variation. To find k, we use the provided values: k=120 volts / 5.2 amperes = 23.08 volts/ampere. Now, to determine V when I=3.5 amperes, we multiply the constant k by the new current: V = 23.08 volts/ampere × 3.5 amperes = 80.78 volts.