If volatage across first capacitor (C) is V ! thenwhat are voltages across secon
ID: 1668239 • Letter: I
Question
If volatage across first capacitor (C) is V! thenwhat are voltages across second and third capacitors? Find voltage V 1 across first capacitor Find charge Q on first capacitor Express in terms of Cand V 1 Using value of Q just calculated find equivalent capacitancefor this combination of capacitors in series.Explanation / Answer
plate 1 is Q=> plate 2 is -Q =>,plate 3 is Q,=>plate 4 is-Q=> plate 5 is Q => plate 6 is -Q The charge in plate 3 is Q and plate 6 is -Q the charge in capacitor C: Q=C.V we have the charge in each capacitor are the same=> voltageacross second and third capacitor: V''=Q/2C= C.V/2C= V/2 V'''= Q/3C=C.V/3C= V/3 => difference voltage of circuit : V(total)= V+V/2 +V/3 =11V/6 if the voltage V1 across the first capacitor=> =V(total)=11V1/6 => V1= 6/11 the charge on first capacitor : Q= C.V1 Equivalent capacitance : C(equivalent)= Q/V(total) = C.V1/ (11V1/6)= (6/11).C