Calculate the resistance of a 900.-watt toaster
operating at 120 volts. [Show all work, including
the equation and substitution with units.]

Respuesta :

     Using the Definition of Potency, we have:

[tex]P= \frac{V^2}{R} [/tex]
 
     Entering the unknowns:

[tex]P= \frac{V^2}{R} \\ 900*W= \frac{(120*V)^2}{R} \\ R= \frac{14400*V^2}{900*V*A} \\ R=16* \frac{V}{A} \\ \boxed {R=16Ohm}[/tex]

If you notice any mistake in my english, please let me know, because i am not native.

Answer : Resistance is 16 ohms.

Explanation :

It is given that,

Power of toaster, [tex]P=900\ Watt[/tex]

Voltage, [tex]V=120\ V[/tex]

According to ohm's law, V = I R

Mathematically power is defined as :

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

or

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

[tex]R=\dfrac{(120\ V)^2}{900\ W}[/tex]

[tex]R=16\ \Omega[/tex]

So, the resistance of the toaster is 16 ohms.

Hence, this is the required solution.