Question

Design by your own a single loop circuit with three emfs and five identical resistors. he resistance of each resistor is 4 Q and the three emfs are 4, 10, and 16 V, respectively. Find the current through the circuit? Now, connect them in a multi loop circuit with thee branches (each branch must have one emf and at least on resistor), write the circuit equations. (35 points)

Answer 1

arcuit Sungle tobp RB MWT|ww. WWW RA Ph ww. 452 4 Sh 452 V /d V

Total Re&ytance 2 RI+R2 HR3 tR4 +R5 5 4 S 16)V Total valtage 4 10+ 36 V Total Current Voltage Resistance Iatal 30Valt 20 52 Tatal curent -5 Ampere

4 52 are Au restance 4V 13 I2 16 V APpy In Kirchhoff' loop law 4 I1 t12 411 4 I1 16 4 L2 -0 4I 16- (n 2nd loop 4(It) 4 (12 tI3) 4 4-4I24I 3 - 4I- 4 C20 4 912 4 I 4 13 o WAN

In loop 4 13-413 LOV 2 4 3-413 412 4 I3-O - ID 12 13 Owaih 8I 16- 4 I2 Q =Tb- I8 I2/16 Pasthing in 2) valte t- 16- 4I2 8:12 4I3 4 8.+ 212 2 413 = 0 4 612 43- - 4- 612 - 4 - 6 I2 4 - 6 I2 Pung

10 4 4- L03 4[2 = 0 13 14 12 I 2 = 13 14 Purting I3 I 2 -13 6 4- 14 4 I 3 -56 +78 22 4 I 3 22 56 6 -12 4

16 t 5 2 14 246 42 Amp 13 4 Amp O.28 5 0 39 235 Amp I3 = 22 5 6