A technician is evaluating the electrical characteristics of a direct-current parallel cir… — Armed Services Vocational Aptitude Battery (ASVAB)

A technician is evaluating the electrical characteristics of a direct-current parallel circuit network. Match each circuit parameter on the left with its corresponding behavior or rule on the right.

Branch Voltage ( $V_{\text{branch}}$ )Remains constant and equal across all connected branches
Total Current ( $I_{\text{total}}$ )Equals the sum of the individual currents flowing through all branches
Equivalent Resistance ( $R_{\text{eq}}$ )Is always lower than the resistance of the smallest branch resistor
Branch Current ( $I_{\text{branch}}$ )Varies inversely with the branch resistance according to $I = \frac{V}{R}$

Cevap

Branch Voltage matches 'Remains constant and equal across all connected branches'; Total Current matches 'Equals the sum of the individual currents flowing through all branches'; Equivalent Resistance matches 'Is always lower than the resistance of the smallest branch resistor'; Branch Current matches 'Varies inversely with the branch resistance according to

I = \frac{V}{R}

In parallel circuits, all components share common connection points, maintaining equal voltage across each branch. Total current equals the sum of all individual branch currents. Total equivalent resistance decreases as more branches are added (remaining less than the smallest branch resistance). Individual branch current is calculated via Ohm's Law as voltage divided by that branch's resistance.

Adım Adım Çözüm

Determine the voltage relationship across parallel branches.

Branch Voltage (

V_{\text{branch}}

) is equal across all branches (

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

All branches connect across the same two common nodes to the power supply.

Determine the total current relationship for a parallel network.

Total Current (

I_{\text{total}}

) equals the sum of branch currents (

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

Current splits at junction nodes according to Kirchhoff's Current Law.

Determine how total equivalent resistance behaves in a parallel circuit.

Equivalent Resistance (

R_{\text{eq}}

) is always smaller than the smallest branch resistance.

Adding parallel branches adds additional conductive paths for electron flow.

Determine how current through a specific branch is calculated.

Branch Current (

I_{\text{branch}}

) is calculated using Ohm's Law (

I_{\text{branch}} = \frac{V}{R_{\text{branch}}}

Branch current depends on the common branch voltage divided by the individual branch resistance.

Anahtar Kavram

Fundamental rules governing voltage, current, and resistance in DC parallel circuits.

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