(A) 0.25 uF 10V 2uF 4uF (B) Figure 3: 3. In Figure 3 the capacitors were discharged before being connected to the battery. (a) In Figure 3A the net positive charge delivered by the battery is +Q1 to Cj and a net negative charge -[Q2 + Q3] is delivered to C2 and C3 (-Q2 is delivered to C2 and -Q3 to C3]. From conservation of charge(net charge is zero since both the battery and the capacitors have a zero net excess charge] and path independence of the electric field[sum of voltages must add up to zero for a closed path or conservation of energy): Q1 + (-Q2) + (-Q3) = 0 conservation of charge +%-용-용 +V, - 4 - conservation of energy (True, False) = 0 conservation of energy (b) If (a) is true then the charge Q1, Q2 and Qa follow from above three equations as C1(C2 + C3) C,C2 Q2 = Ci + C2 + C3 C\C3 Q3 = C1 + C2 + C3 Q1 = V, (True, False) Ci + C2 + C3 (c) In Figure 3A the net positive charge delivered by the battery is Qtot = Q1 = CatCal V, which implies an equivalent capacitance of Stot = V C(C2+Ca) Ci+C2+Cg (True,False) CuCatC ) HE

(A) 0.25 uF 10V 2uF 4uF (B) Figure 3: 3. In Figure 3 the capacitors were discharged before being connected to the battery. (a) In Figure 3A the net positive charge delivered by the battery is +Q1 to Cj and a net negative charge -[Q2 + Q3] is delivered to C2 and C3 (-Q2 is delivered to C2 and -Q3 to C3]. From conservation of charge(net charge is zero since both the battery and the capacitors have a zero net excess charge] and path independence of the electric field[sum of voltages must add up to zero for a closed path or conservation of energy): Q1 + (-Q2) + (-Q3) = 0 conservation of charge +%-용-용 +V, - 4 - conservation of energy (True, False) = 0 conservation of energy (b) If (a) is true then the charge Q1, Q2 and Qa follow from above three equations as C1(C2 + C3) C,C2 Q2 = Ci + C2 + C3 C\C3 Q3 = C1 + C2 + C3 Q1 = V, (True, False) Ci + C2 + C3 (c) In Figure 3A the net positive charge delivered by the battery is Qtot = Q1 = CatCal V, which implies an equivalent capacitance of Stot = V C(C2+Ca) Ci+C2+Cg (True,False) CuCatC ) HE

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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