I am aware that when charged particles accelerate or decelerate, the particle will emit a certain amount of radiation. But since a charged particle will accelerate any time it goes around a bend in a circuit, wouldn't it radiate some energy when it goes around the bend? I thought that giving two examples may aid in asking this question, where I can pose an "extreme case" thought experiment: In both the above circuits, Vs is the same and the same amount of wire is used (two kilometers of it). But while the wire used Figure 1 has a minimum number of bends in it, that used in Figure 2 is a horribly tangled mess! Shouldn't the value of VR for Figure 1 be a little higher than that of VR for Figure 2 due to energy losses from all the bending routes the electrical current is forced to take in that circuit?