Mechatronic Systems Engineering 2201A/B Lecture Notes - Lecture 3: Electrical Network, Kirchhoff'S Circuit Laws

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Kirchhoff"s current law: the sum of the currents entering a node equals the sum of the currents leaving the node. Ki(cid:396)chhoff"s cu(cid:396)(cid:396)e(cid:374)t la(cid:449) is a co(cid:374)se(cid:395)ue(cid:374)ce of the p(cid:396)i(cid:374)ciple of co(cid:374)se(cid:396)(cid:448)atio(cid:374) of elect(cid:396)ic cha(cid:396)ge which says: charge is neither created nor destroyed in an isolated system. Node: a point at an electrical circuit where two or more circuit elements are joined together. Pro(cid:271)le(cid:373): use kir(cid:272)hhoff"s curre(cid:374)t la(cid:449) (cid:894)kcl(cid:895) to deter(cid:373)i(cid:374)e the (cid:448)alues of the u(cid:374)k(cid:374)o(cid:449)(cid:374) (cid:272)urre(cid:374)ts: and are in series if no other path is connected to the node between and. When elements are connected end-to-end, we say they are connected in series. Ki(cid:396)chhoff"s cu(cid:396)(cid:396)e(cid:374)t la(cid:449) i(cid:373)plies that all ele(cid:373)e(cid:374)ts i(cid:374) a se(cid:396)ies ci(cid:396)cuit ha(cid:448)e ide(cid:374)tical cu(cid:396)(cid:396)e(cid:374)ts. Problem: identify the groups of circuit elements that are connected in series. A and b are in series & e, f, and g are in series a) b) c)

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