Answered

Calculate the resistance of a 900.-watt toaster

operating at 120 volts. [Show all work, including

the equation and substitution with units.]

Verified Answer :

Using the Definition of Potency, we have:

\(P= \frac{V^2}{R}\)
 
     Entering the unknowns:

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

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, \(P=900\ Watt\)

Voltage, \(V=120\ V\)

According to ohm's law, V = I R

Mathematically power is defined as :

\(P=\dfrac{V^2}{R}\)

or

\(R=\dfrac{V^2}{P}\)

\(R=\dfrac{(120\ V)^2}{900\ W}\)

\(R=16\ \Omega\)

So, the resistance of the toaster is 16 ohms.

Hence, this is the required solution.

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