Question

Ohms are a measure of resistance, amperes are a measure of current, and volts are a measure of voltage. The relationship among these three quantities is represented by the given formula. Volts Ohms Amperes A 150-ohm load is connected to a 300-volt source. If the source is changed to 250 volts, what must the resistance become to ensure that the current stays the same? A. 2 ohms B. 50 ohms C. 125 ohms D. 180 ohms E. 500 ohms

Answer 1

In order to determine what is the new resistance, first calculate the associated current for a resistance of 150-ohm and a voltage of 300-volt.

Use the following formula:

`I=(V)/(R)`

where:

V = 300V

R = 150Ω

replace the previous values into the formula for I:

`I=(300V)/(150\Omega)=2A`

Next, solve the formula for R, as follow:

`R=(V)/(I)`

and, in this case, use V = 250V and I = 2A:

`R=(250V)/(2A)=125\Omega`

Hence, the value of the new resistance must be 125 ohms