Question

Voltage is directly proportional to current. A watch uses a 5-volt battery and has an electric current of 2 amps. What is the constant of proportionality? 0.4 ohms 2 ohms 2.5 ohms 10 ohms

Answer 1

Answer: the constant of proportionality is 2.5 ohms

Step-by-step explanation:

If two quantities are directly proportional, it means that an increase in the value of one quantity would cause a corresponding increase in the other quantity. Also, a decrease in the value of one quantity would cause a corresponding decrease in the other quantity.

Given that Voltage, V is directly proportional to current,I, if we introduce a constant of proportionality, k, the expression becomes

V = kI

If V = 5 volts when I = 2 amps, then

5 = 2k

k = 5/2 = 2.5 ohms