Difference between revisions of "Parallel Circuits"

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The '''Parallel Circuits''' box from the ''Reference Tables for Physical Science: Physics'' (2025 Edition) gives the three rules for components connected in parallel. It primarily supports [[HS-PS3-6]], together with the [[Electricity]] equations and the [[Series Circuits]] box.
 
The '''Parallel Circuits''' box from the ''Reference Tables for Physical Science: Physics'' (2025 Edition) gives the three rules for components connected in parallel. It primarily supports [[HS-PS3-6]], together with the [[Electricity]] equations and the [[Series Circuits]] box.
  
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{| class="wikitable" style="text-align:center;"
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<span id="parallel-current"></span><span id="parallel-voltage"></span><span id="parallel-resistance"></span>[[File:Parallel Circuits.png|440px|class=img-fluid|alt=Parallel Circuits from the Physics Reference Tables (2025 Edition)]]
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! Parallel Circuits
 
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|- id="parallel-current"
 
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| style="padding:8px 16px;" | ''I'' = ''I''<sub>1</sub> + ''I''<sub>2</sub> + ''I''<sub>3</sub> + …
 
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|- id="parallel-voltage"
 
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| style="padding:8px 16px;" | ''V'' = ''V''<sub>1</sub> = ''V''<sub>2</sub> = ''V''<sub>3</sub> = …
 
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|- id="parallel-resistance"
 
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| style="padding:8px 16px;" | <span style="display:inline-block;vertical-align:middle;text-align:center;line-height:1.25;"><span style="display:block;border-bottom:1px solid currentColor;padding:0 3px;">1</span><span style="display:block;padding:0 3px;">''R''<sub>eq</sub></span></span> = <span style="display:inline-block;vertical-align:middle;text-align:center;line-height:1.25;"><span style="display:block;border-bottom:1px solid currentColor;padding:0 3px;">1</span><span style="display:block;padding:0 3px;">''R''<sub>1</sub></span></span> + <span style="display:inline-block;vertical-align:middle;text-align:center;line-height:1.25;"><span style="display:block;border-bottom:1px solid currentColor;padding:0 3px;">1</span><span style="display:block;padding:0 3px;">''R''<sub>2</sub></span></span> + <span style="display:inline-block;vertical-align:middle;text-align:center;line-height:1.25;"><span style="display:block;border-bottom:1px solid currentColor;padding:0 3px;">1</span><span style="display:block;padding:0 3px;">''R''<sub>3</sub></span></span> + …
 
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|}
 
  
 
== What the parallel circuits box shows ==
 
== What the parallel circuits box shows ==
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== Rows ==
 
== Rows ==
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Each row of the table has an anchor, so a link or an <code><nowiki>{{Rt}}</nowiki></code> chip ([[Template:Rt]]) can point at one equation or constant:
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A link or an <code><nowiki>{{Rt}}</nowiki></code> chip ([[Template:Rt]]) can point at one equation or constant with these anchors; each one lands on the table above:
 
* <code>parallel-current</code> – ''I'' = ''I''<sub>1</sub> + ''I''<sub>2</sub> + …
 
* <code>parallel-current</code> – ''I'' = ''I''<sub>1</sub> + ''I''<sub>2</sub> + …
 
* <code>parallel-voltage</code> – ''V'' = ''V''<sub>1</sub> = ''V''<sub>2</sub> = …
 
* <code>parallel-voltage</code> – ''V'' = ''V''<sub>1</sub> = ''V''<sub>2</sub> = …

Revision as of 17:40, 25 October 2026

⇱ All Physics Reference Tables (2025 Edition)
← Series Circuits

The Parallel Circuits box from the Reference Tables for Physical Science: Physics (2025 Edition) gives the three rules for components connected in parallel. It primarily supports HS-PS3-6, together with the Electricity equations and the Series Circuits box.

Parallel Circuits from the Physics Reference Tables (2025 Edition)

What the parallel circuits box shows

In a parallel circuit each branch is connected directly across the source, so every branch has the same potential difference; the current from the source splits among the branches, so the branch currents add up to the total; and the reciprocals of the resistances add, so the equivalent resistance is smaller than the smallest branch resistance, and adding a branch raises the total current. With V = IR these rules give the current in each branch.

Rows

A link or an {{Rt}} chip (Template:Rt) can point at one equation or constant with these anchors; each one lands on the table above:

  • parallel-current – I = I1 + I2 + …
  • parallel-voltage – V = V1 = V2 = …
  • parallel-resistance – 1/Req = 1/R1 + 1/R2 + …

Regents Exam Questions

Released Regents questions that cannot be answered without this table, listed by exam. Each link opens the question with its answer key; the standard is the one the question assesses.