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Parallel circuits work on rule of Kirchoff’s current law. Current flows into a branch in a circuit, the same amount .of current must flow out again
Typology: Exercises
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A parallel circuit has at least one point where the circuit divides, creating more than one path for current. Each path is called a branch. The current through a branch is called branch current. If current flows into a branch in a circuit, the same amount of current must flow out again, This rule is known as Kirchoff’s current law.
Because each branch in a parallel circuit has its own path to the battery, the voltage across each branch is equal to the battery’s voltage. If you know the resistance and voltage of a branch you can calculate the current with Ohm’s Law ( I=V/R ).
In part (d) of problems 1, 2, and 3, you calculated the total resistance of each circuit. This required you to first find the current in each branch. Then you found the total current and used Ohm’s law to calculate the total resistance. Another way to find the total resistance of two parallel resistors is to use the formula shown below.
Calculate the total resistance of a circuit containing two 6 ohm resistors.
Given The circuit contains two 6 Ω resistors in parallel.
Solution
The total resistance is 3 ohms.
Looking for The total resistance of the circuit. Relationships
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