Respuesta :

The power used by an electrical device can be written as
[tex]P= \frac{V^2}{R} [/tex]
where V is the potential difference applied to the device and R is the electrical resistance of the device.

In this problem, the power used is P=590 W and the device operates at voltage of V=120 V, therefore we can re-arrange the previous equation to calculate its resistance:
[tex]R= \frac{V^2}{P}= \frac{(120V)^2}{590 W}= 24.4 \Omega[/tex]

Answer:

24.4 Ω

Explanation:

Thinking process:

The equation relating the power and voltage is given as:

[tex]R = \frac{V^{2} }{P}[/tex]

Given that:

Power = 590 W

Voltage = 120 V

The power therefore will be:

[tex]P = \frac{(120)^{2} }{590}[/tex]

   = 24.4 Ω