Question

Use figure 21.25 on Page 751 in the textbook, but the battery voltage and resistors have been changed as following. E1 = 9 V, E2=12V, r1=r2=1 Ohm, R1=6 Ohm, R2=2 Ohm, R3=2 Ohm. Calculate following:

1) current, voltage, and power on resistor R1.

2) current, voltage and power on resistor R2.

3) current, voltage, and power on resistor R3.

gePhysics-OP.pdf - + + 2 Fit to page LD Page view E = 18V b d 12 12 0.5 52 RE 2.5 52 12 1 R a 1, 6.022 1. 1 R 1.5 2 9 52 W 0.50 Es = 45 V is similar to that in Figure 2121. but the resistances and emfs are specified. (Each emf is denoted by sc are labeled and assumed to move in the directions shown. This example uses Kirchhoff's rules to find the ently complex that the currents cannot be found using Ohm's law and the series-parallel tecl Tchhoffs rules. Currents have been labeled 11 12 and 13 in the figure and assumptions rections Locations on the diagram have been labeled with letters a through h in the solution nd loop tales, seeking three independent equations to allow us to solve for the three unknow ng Kirchhoffis first or junction rule ar point a This gives

Answer 1

E-3v Els W Iz R₂=22 R,= 62 R₂ =22 چاہا %=12 E2 = 12V I, = I2 + Iz loop L. 9 - 12V, 12*, - (1,417) R, - 1, R2=0 ( 12+I3) 6 -21, 50 9-912 - 613 - 0 0 In loop 2 g Ir Co. 12- 13 - 21, -(13+I») 6 0 12 - 9 Iz - 6 12 12-6 Iz -12 2 f 0 using o 6(12-622) 9 - 912 9 1 -51, -0 A I2 ut 5

1 Iz 12 - 6x13 1.2 t A I, c (+ 1.2 ) 1,7 leu A Resistor R is Cument - 1.4 A 8.4 V - 1.4x 6 Voltage 804x14 - 11.76 W Power Resistor В, 27 0.2 A Current 0.4 V 0·2x2 Voltage Power -0.08 W 0.4x0.2 Resistor R 3 37 Current 2.4 V voltage 1.2 A 1.2x 2 2,481025 E 2.88 power