A toaster is rated at 600W, when connected to a120-V source. What current does the toaster carry, and what is its resistance?

Current, I=5A

Resistance, R=24 ohms

Firstly, let's write the given values:

Power, P=600W

Voltage, V=120V

To find:

Current, I=?

Resistance, R=?

Lets understand ohm's Law:

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.

Formula for Ohm's law:

The relation between power, current and resistance can be represented as:

Or

To find current:

So on substituting given values,

To find resistance:

So on substituting given values,

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Explanation:

Given parameters:

Power of the toaster  = 600W

Voltage  = 120V

Unknown:

Current = ?

Resistance = ?

Solution:

The power in the circuit is related to resistance and current using the expression below;

       P = IV  

       P =

P is the power

I is the current

V is the voltage

R is the resistance

    To find the current;

        I =   =  = 5A

     Now, resistance;

       V²   = PR

       R =   =  = 24ohms

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