Regard as three resistors having three unique values of resistance. Presume the resistors are connected in parallel with each other. Additional suppose that the parallel combination of the three resistors is connected in a circuit such that at least some charge is flowing through each of the resistors. Which of the subsequent statements is true?
Answer:
[For communication reason we arbitrarily identify one end of each resistor to be the right end and the other to be the left end.] Specified that the resistors are connected in parallel the left ends of all the resistors are connected together and separately the right ends of all the resistors are connected together. To articulate that all the left ends are connected together is to say that all the left ends are part of one and the same conductor. Since all points in as well as on a conductor are at one and the same electric potential the left end of every resistor is at one and the same potential call it VL. An alike argument can be made for the right end of each resistor. Therefore the right end of every resistor is at one and the same value of electric potential call it VR different from the one value of potential of the left ends. The voltage crosswise any of the resistors is just the difference between VL and VR. Since all the resistors share the same VL and the same VR the voltage across the resistors has one and the same value for every resistor.
Every time you put a resistor in parallel with another resistor you create an additional path though which charge can flow. For the reason that of this a combination of resistors in parallel provides less resistance to the flow of charge than does any of one the resistors by itself.