How many arrangements are possible with R1, R2, and R3 resistors to get dfifferent equivalent resistance.
Answers
Answer:
If two or more resistors are connected in parallel, then the potential difference across each resistor is same. Resistors in parallel connection are connected to the same nodes. This can be identified by the presence of more than one path for the current to flow. For example, the circuit shown below is a parallel connection of resistors. The potential difference across the resistor R1 is same as that across the resistor R2 which is equal to the supply potential VAB.
Resistors in Parallel Connection
If VAB is the potential supplied then VR1 = VR2 = VAB
In the following circuit, the resistors R1, R2 and R3 are connected in parallel combination.
Here the supply potential is VAB between the points A and B. Since the resistors R1, R2 and R3 are connected in parallel combination the potential difference across each resistor is same as the supply. Hence VAB = VR1 = VR2 = VR3.
Where VR1 is the potential across the resistor R1.
VR2 is the potential across the resistor R2.
VR3 is the potential across the resistor R3.
But the current flowing through these three resistors is different. If I is the current leaving the node A then it has three paths to reach the node B. The current flowing through each resistor is dependent on its resistance. Hence in case of parallel resistive circuits, the current is not same in all the resistors. If I1 is the current flowing through the resistor R1, I2 is the current flowing through the resistor R2 and I3 is the current flowing through the resistor R3 then the currents I, I1, I2 and I3 can be related with the help of Kirchhoff’s Current Law. According to Kirchhoff’s Current Law, “the sum of currents entering a node is equal to the sum of currents leaving the node.”
Hence I = I1 + I2 + I3
Explanation: