Calculate V and I for every resistor using resistors nominal

Calculate V and I for every resistor using resistor\'s nominal value and 10 V between points A and B in circuit.

R1=100, R2=220, R3=1k, R4=2.2k, and R5=1k

R3 R1 R2 Figure 1. Circuit diagram. R4 R5

R1 ,R2 are in series

R12 = R1 + R2 = 100 + 220 = 320 ohm

R12 and R3 are in parallel

R123 = (R12*R3)/(R12+R3)

R123 = (320*1000)/(320+1000)

R123 = 242.42 ohm

R4 , R5 are in parallel

R45 = (R4*R5)/(R4+R5)

R45 = (2.2*1)/(2.2+1) k ohm

R45 = 0.6875 k ohm = 688 ohm

R123 & R45 are in series

Rab = R123 + R45 = 930 ohm

total current I = Vab/Rab = 0.011 A

I = V1/R1 = I*R123/R12 = 0.011*242.42/320 = 0.0083 A

V1 = I1*R1 = 0.0083*100 = 0.83 v

I2 = I1 = 0.0083 A

V2 = I2*R2 = 0.0083*220 = 1.826 V

I3 = I - I1 = 0.011 - 0.0083 = 0.0027 A

V3 = I3*R3 = 0.0027*1000 = 2.7 V

I4 = V4/R4 = I*R45/R4 = 0.011*687.5/2200 = 0.00344 A

V4 = I4*R4 = 0.00344*2200 = 7.568 V

I5 = I - I4 = 0.011 - 0.00344 = 0.00756 v

V5 = V4 = 7.568 V