Question

Consider the circuit shown in (Figure 1). Suppose that E = 13 V .

40 Ω 20 Ω3 Κ Switch > ML ε- 60 Ω 10 Ω

What is the current through the battery when the switch is open?

What is the current through the battery when the switch is closed?

Answer 1

Rio 2012 E E Rua Gora Rlz 2011 R2=602 R3=402 Rq = lor {=13 switch closed (2) switch open (1) case 1(switch open) § R34 from fig. (1) R, and R2 in series, their equivalant R12 Rig = Ro try = (20+60)=801 R₂ and Rq in series, their equivalant R34 - R34 = R3 tRq = (40+10) =502 RiR and Rza in parallel their equivalant from fig. (3) - Ra + 2 = R12 + R34 – 80x50 - 400 80X50 R12X R34 = R12 +R34 80+50

from fig, (4) I,= e = 1 A 400 13 The current through the battery Il = 0.4225 A AN) for case (2) switen is closed R24 R, and Rg in parallel, their equivalent from R13 - fig. (2), ra & + Range 20x40 0+40 2 40 R, XR3 = - RitR3 parallel , their equivalant R24 R2 and Ra in ha - #2 + tein = leverer mange = 6400 = 602 from fig. - Rig and Rag in series their equivalarit R'= R13 +R24 = 40 +60 = 460 2 Is a 8 i from fig. 6 The current through the battery → Iz = 13 460 → Il = 0.593 A