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Chapter 27: Direct Current Circuits (Summary). emf: open-circuit voltage of the battery Equivalent resistance in series: R eq = S R i Equivalent resistance in parallel: R eq -1 = S R i -1 Kirchhoff’s rules for current (cnsrvtion of charge): S I in = S I out
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Chapter 27: Direct Current Circuits (Summary) emf: open-circuit voltage of the battery Equivalent resistance in series: Req = SRi Equivalent resistance in parallel: Req-1 = SRi-1 Kirchhoff’s rules for current (cnsrvtion of charge): SIin = SIout Kirchhoff’s rule for potential (cnsrvtion of energy): S(DV)i = 0 (over any closed loop) Charging an RC circuit: I0 = E/R and Q = E C q(t) = Q (1-exp[-t/t]) I(t) = I0 exp[-t/t] Discharging an RC circuit: q(t) = Q exp[-t/t] I(t) = I0 exp[-t/t]