BasicB-005-005-001

In a parallel circuit with a voltage source and several branch resistors, how is the total current related to the current in the branch resistors?

C
Answer
Transmitters, receivers, and measurements
Type
A
It equals the average of the branch current through each resistor
B
It decreases as more parallel resistors are added to the circuit
C
It equals the sum of the branch current through each resistor
D
It is the sum of each resistor's voltage drop multiplied by the total number of resistors

Answer Notes

In a parallel circuit, there are multiple separate paths (branches) for the electrical current to flow. While the voltage across every parallel branch remains identical to the source voltage, the current divides among these paths. Kirchhoff's Current Law states that the total current entering a junction must equal the total current leaving it. Because of this, the total current drawn from the main power source is exactly equal to the sum of the currents flowing through each individual parallel branch. Distractors suggesting the current averages out or decreases are mathematically incorrect. Adding more parallel resistors actually creates additional paths for current to flow, which lowers total circuit resistance and increases the overall total current.
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You connect four 100-ohm resistors in parallel across a 12-volt battery. How many milliamperes of current are drawn from the battery?