Match each circuit modification on the left with its resulting effect on circuit current a… — Armed Services Vocational Aptitude Battery (ASVAB)

Match each circuit modification on the left with its resulting effect on circuit current according to Ohm's law on the right.

Source voltage is doubled while circuit resistance remains constantCurrent doubles ( $2I$ )
Circuit resistance is doubled while source voltage remains constantCurrent is halved ( $0.5I$ )
Both source voltage and circuit resistance are doubled simultaneouslyCurrent remains unchanged ( $I$ )
Source voltage is halved while circuit resistance is doubledCurrent decreases to one-fourth ( $0.25I$ )

Answer

Doubling voltage with constant resistance doubles current; doubling resistance with constant voltage halves current; doubling both voltage and resistance keeps current unchanged; halving voltage while doubling resistance reduces current to one-fourth.

Ohm's law states

I = \frac{V}{R}

. Analyzing each case:

V \times 2 \implies I \times 2

;

R \times 2 \implies I \times 0.5

; both

\times 2 \implies I \times 1

; and

V \times 0.5

combined with

R \times 2 \implies I \times 0.25

Step-by-Step Solution

Recall Ohm's law relating current, voltage, and resistance

I = \frac{V}{R}

Current equals voltage divided by resistance.

Apply proportional reasoning for each condition

Direct proportionality for voltage, inverse proportionality for resistance.

Changes in numerator directly multiply the result, while changes in denominator inversely divide the result.

Key Concept

Ohm's law governs the relationship between voltage, current, and resistance (

I = \frac{V}{R}

), establishing that current is directly proportional to voltage and inversely proportional to resistance.

Estimated Time:45s

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Step-by-Step Solution

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