8TH GRADE · CONDUCTOR CONNECTIONS
Parallel and mixed connection
Current fan-out, common voltage and basic mixed circuits.
The entire theory of the lesson is collected here; you can read it without an account. In interactive mode, the same theory appears as cards, followed by questions. with checking the answer and task, and progress is saved.
Basic Concepts
Parallel circuits
The elements are connected to one pair of nodes, so the voltage on each branch is the same.
The total current is equal to the sum of the branch currents, and adding a new branch reduces the equivalent resistance.
Equivalent resistance
One resistance that, at the same voltage, draws the same total current as the entire combination.
For parallel branches, the equivalent resistance is less than any individual resistance.
Mixed chain
The circuit contains series and parallel groups, which are simplified in stages.
First, the equivalent of the obvious group is found, then the transformation is repeated to one resistance.
Physical quantities
Total current
The sum of the currents in all parallel branches.
Unit: ampere ·
Branch voltage
Equal voltage on each parallel branch.
Unit: volt ·
Equivalent resistance
A resistance that replaces the entire parallel combination.
Unit: ohm ·
Lesson formulas
Branch current
The total current is equal to the sum of the currents in the parallel branches.
Parallel branch voltage
The voltage on each parallel branch is equal to the total voltage.
Parallel circuit resistance
The reverse equivalent resistance is equal to the sum of the reverse resistances of the branches.
Related formulas
The same formulas in the reference, with symbols and units.
Tasks on the topic
Statements, answer options and the walkthrough.