Which electrical principle or formula defines each parameter in a standard parallel circui… — Armed Services Vocational Aptitude Battery (ASVAB)

Which electrical principle or formula defines each parameter in a standard parallel circuit? Match each circuit parameter on the left with its corresponding characteristic on the right.

Voltage across each branchRemains equal across every branch and matches the source voltage
Total circuit current ( $I_{\text{total}}$ )Equals the sum of all individual branch currents
Total equivalent resistance ( $R_{\text{eq}}$ )Is always less than the resistance of the smallest branch resistor
Current through an individual branch ( $I_n$ )Calculated by dividing source voltage by the branch resistance ( $I_n = \frac{V}{R_n}$ )

Cevap

Voltage across each branch matches 'Remains equal across every branch and matches the source voltage'; Total circuit current matches 'Equals the sum of all individual branch currents'; Total equivalent resistance matches 'Is always less than the resistance of the smallest branch resistor'; Current through an individual branch matches 'Calculated by dividing source voltage by the branch resistance (

I_n = \frac{V}{R_n}

)'.

In parallel circuits, voltage is identical across every branch. Total current is the sum of all individual branch currents. Total equivalent resistance decreases as more branches are added and is always less than the smallest individual resistor. Each branch current is calculated independently using Ohm's Law with the common voltage.

Adım Adım Çözüm

Determine the voltage rule for parallel connections

Branch voltage is identical to source voltage (

V_{\text{total}} = V_1 = V_2 = \dots

)

All parallel branches share common input and return connection points.

Determine the total current rule for parallel connections

Total current is the sum of branch currents (

I_{\text{total}} = I_1 + I_2 + \dots

)

Current divides among all available parallel conducting branches according to Kirchhoff's Current Law.

Determine the equivalent resistance behavior

Equivalent resistance is less than the smallest branch resistance (

R_{\text{eq}} < R_{\text{smallest}}

)

Each additional parallel path increases overall circuit conductance.

Apply Ohm's law to calculate individual branch current

Branch current is

I_n = \frac{V}{R_n}

Ohm's law applies directly across each branch using the common source voltage.

Anahtar Kavram

Fundamental voltage, current, and equivalent resistance relationships in parallel circuits

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