In a parallel combination of three resistors, which statement correctly describes the total current in the circuit?
Correct Answer :
It is equal to the sum of the currents through each resistor
Solution :
The correct option is: It is equal to the sum of the currents through each resistor.
To understand why this is the case, we can apply Kirchhoff's Current Law (KCL) to a parallel circuit. In a parallel combination, all resistors are connected across the exact same two electrical nodes. This means that they all experience the same electrical potential difference (voltage).
However, the total current entering the parallel network from the main source must split among the available paths. According to the conservation of electric charge, the total rate of charge entering a junction must equal the total rate of charge leaving it. Therefore, the total current () entering the parallel combination of three resistors divides into three separate branches, with currents , , and passing through each respective resistor.
Mathematically, the relationship is expressed as:
Thus, the total current is equal to the sum of the currents flowing through each individual resistor.
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