A 12\text{ V} direct-current car battery is connected to a circuit powering a single headl… — Armed Services Vocational Aptitude Battery (ASVAB)

A $12\text{ V}$ direct-current car battery is connected to a circuit powering a single headlight with a resistance of $4\,\Omega$ . What is the electric current, in amperes, flowing through the headlight?

Answer: 3 A

Answer

The electric current flowing through the headlight is 3 amperes.

According to Ohm's law, electric current (

I

) equals voltage (

V

) divided by resistance (

R

). Dividing a voltage of

12\text{ V}

by a resistance of

4\,\Omega

yields an electric current of

3\text{ A}

Step-by-Step Solution

Identify the relationship between voltage, current, and resistance using Ohm's law.

V = I \times R

, which rearranges to

I = \frac{V}{R}

Ohm's law governs the relationship between electric potential difference, current flow, and resistance in a DC circuit.

Substitute the given values into the formula and solve for current.

I = \frac{12\text{ V}}{4\,\Omega} = 3\text{ A}

Dividing the electromotive force (voltage) by the total circuit resistance yields the resulting electric current.

Key Concept

Ohm's Law (

V = IR

)

Question

Answer

Step-by-Step Solution

Key Concept

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