Answer:
The resistor has a resistance of 10.667 ohms.
Explanation:
By Ohm's Law, voltage ([tex]V[/tex]), in volts, is directly proportional to the current ([tex]i[/tex]), in amperes, and by definition of power ([tex]\dot W[/tex]), in watts, we have the following formula:
[tex]\dot W = i^{2}\cdot R[/tex] (1)
Where [tex]R[/tex] is the resistance, in ohms.
If we know that [tex]\dot W = 24\,W[/tex] and [tex]i = 1.5\,A[/tex], then the resistance of the resistor is:
[tex]R = \frac{\dot W}{i^{2}}[/tex]
[tex]R = 10.667\,\Omega[/tex]
The resistor has a resistance of 10.667 ohms.
