10 Ω 2.75 Ω 3.75 R2 R1 R3 6 Ω 6 Ω 80 V 2.5 Ω 2 R6 3 Ω R5 4.5 R7 2 Ω R4 3 Ω R8 4 Ω 5 Ω R9 R10 9 1.5 RT = 2.75 + 3.75 + 2 + 1.5 = 10 Ω

10 Ω 10 Ω 2.75 Ω 3.75 R2 R1 R3 6 Ω 6 Ω 80 V 2.5 Ω 2 R6 3 Ω R5 4.5 R7 2 Ω R4 3 Ω R8 4 Ω 5 Ω R9 R10 9 VT = IT RT 80 = I (10) 1.5 IT = 8 amps This is the current for each single resistor and each group

V= I R V = 8 (3.75) V = 30 V R1 R2 R3 R4 R5 R6 R7 R8 R9 R10 V1= I1= 10 Ω R1 R2 R3 R4 R5 R6 R7 R8 R9 R10 V1= I1= V2= I2= V3= I3= V4= I4= V5= I5= V6= I6= V7= I7= V8= I8= V9= I9= V10= I10= 22 V 8 amps 3.75 R2 30 V R3 3 amp 6 Ω 30 V 5 amp 16 V 8 amps V= I R V = 8 (3.75) V = 30 V So both resistors get 30 V

V = 12 V V = 8(1.5) V= I R V= I R 12 = I(9) I= 1⅓ amps V= I R So all groups get 12 V V = 12 V 6 Ω R1 R2 R3 R4 R5 R6 R7 R8 R9 R10 V1= I1= V2= I2= V3= I3= V4= I4= V5= I5= V6= I6= V7= I7= V8= I8= V9= I9= V10= I10= 22 V 8 amps 2.5 Ω 2 V = 8(1.5) R6 30 V 3 amp 3 Ω R5 V= I R 5 amp 4.5 30 V R7 3 Ω 16 V 8 amps R8 V= I R 4 Ω 6⅔ V 2⅔ amps 5 Ω 12 = I(9) R9 R10 / amps 8 9 5⅓ V 9 I= 1⅓ amps 7 5⅓ V 1 / amps 1.5 So both resistors get 1⅓ amps 9 12 V 4 amps V= I R 1⅓ amps 12 = I(4.5) 5⅓ V I= 2⅔ amps 6⅔ V 1⅓ amps So R5 (and the R6/R7 group) gets 2⅔ amps. So both resistors get 5⅓ V V= I R V = 2⅔(2) V= 5⅓ V

Add all powers together 640 watts PT = IT VT PT = 8(80) PT = 640 watts 8 amps P1 = 176 W P2 = 90 W P3 = 150 W P4 = 128 W P5 = P6 = P7 = P8 = 48 W P9 = P10 = Add all powers together 30 V 3 amp 5 amp 30 V 16 V 8 amps 6⅔ V 2⅔ amps 17 / W 7 9 / amps 8 4 / W 20 5⅓ V 9 27 640 watts 7 9 / W 13 5⅓ V 1 / amps 9 27 12 V 4 amps 1⅓ amps 7 / W 1 5⅓ V 9 6⅔ V 1⅓ amps 8 / W 8 9 PT = IT VT PT = 8(80) PT = 640 watts This is the total power for all resistors