Laws In Physics

Step 1: Define resistance in series connection
Let the resistance of each resistor be and the voltage of the ideal cell be . For two resistors connected in series, the total resistance is: By Ohm's law, the total current in the series circuit is: Given that the current through each resistor in series is A, the total current is also A:

Step 2: Define resistance in parallel connection
For two resistors connected in parallel, the equivalent resistance is: By Ohm's law, the total current in the parallel circuit is: Since the current divides equally between the two resistors, the current through each resistor is: Thus, the current through each resistor in the parallel connection is A.