A ceramic space heater is connected to a standard 120\text{ V} electrical outlet. If the h… — Armed Services Vocational Aptitude Battery (ASVAB)

A ceramic space heater is connected to a standard $120\text{ V}$ electrical outlet. If the heating element has an internal resistance of $15\,\Omega$ , what is the electric current flowing through the circuit, in amperes ( $\text{A}$ )?

Answer: 8 A

Answer

8 A

According to Ohm's Law (

V = IR

), the electric current (

I

) flowing through a circuit is found by dividing the potential difference (

V

) by the resistance (

R

). Dividing

120\text{ V}

15\,\Omega

gives an electric current of

8\text{ A}

Step-by-Step Solution

Identify the given electrical values from the problem statement.

Voltage

V = 120\text{ V}

and resistance

R = 15\,\Omega

Determining known quantities is required to choose the appropriate formula.

State Ohm's Law and isolate current (

I

I = \frac{V}{R}

Ohm's Law governs the relationship between potential difference, current, and resistance in an electrical circuit.

Divide voltage by resistance to calculate the current in amperes.

I = \frac{120\text{ V}}{15\,\Omega} = 8\text{ A}

Carrying out the arithmetic yields the resulting current in amperes.

Key Concept

Ohm's Law (

V = IR

) defines the relationship among voltage, current, and resistance, where current is directly proportional to voltage and inversely proportional to resistance.

Estimated Time:1m 0s

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