Rezistensya sa Serye ug Rezistensya sa Paralelo

Mas daghan pa kaysa sa usa ka electrical resistance mahimong ikonekta sa series o parallel. Sa dihang adunay mas daghan pa kaysa duha ka resistances, mahimo usab silang ikonekta sa kombinasyon sa series ug parallel. Ania ang atong paghisgot sa series ug parallel combination.

Resistances in Series

Suppose you have three different types of resistors – R1, R2 and R3 – and you connect them end to end as shown in the figure below, then it would be referred as resistances in series. In case of series connection, the equivalent resistance of the combination, is sum of these three electrical resistances.
That means, resistance between point A and D in the figure below, is equal to the sum of three individual resistances. The current enters in to the point A of the combination, will also leave from point D as there is no other parallel path provided in the circuit.

Now say this current is I. So this current I will pass through the resistance R1, R2 and R3. Applying Ohm’s law, it can be found that voltage drops across the resistances will be V1 = IR1, V2 = IR2 and V3 = IR3. Now, if total voltage applied across the combination of resistances in series, is V.
Then obviously

Since, sum of voltage drops across the individual resistance is nothing but the equal to applied voltage across the combination.

Now, if we consider the total combination of resistances as a single resistor of electric resistance value R, then according to Ohm’s law,
V = IR ………….(2)

Now, comparing equation (1) and (2), we get

So, the above proof shows that equivalent resistance of a combination of resistances in series is equal to the sum of individual resistance. If there were n number of resistances instead of three resistances, the equivalent resistance will be

Resistances in Parallel

Say we have three resistors of resistance value R1, R2 and R3. These resistors are connected in such a manner that the right and left side terminal of each resistor is connected together, as shown in the figure below.

This combination is called resistances in parallel. If electric potential difference is applied across this combination, then it will draw a current I (say).
As this current will get three parallel paths through these three electrical resistances, the current will be divided into three parts. Say currents I1, I1 and I