I hope someone can clear this up for me. In a parallel circuit, the total resistance is less than any one resistor. I know the equations but I just can't understand the concept. Can anyone help me grasp this?
The current is shared between both paths meaning that the whole current isn't going through one resistor. Say we have a 100ohm resistor connected to a voltage source. Then we add a 10ohm resistor in parallel. Most of the current that was going through the 100Kohm is now going through the 10ohm (because there is less resistance) however some of it also still goes through the 100ohm. Therefore the overall resistance is lower than the smaller one.
(100^-1 + 10^-1)^-1 = 9.09ohms
Most of it goes through the 10ohm but some of it still trickles through the 100ohm.