Question #170840

R1 = 6 ohm

R2 = 5 ohm

R3 = 4 ohm

R4 = 4 ohm

R5 = 8 ohm

with 10V

Solve for the voltage across resistor #5 (R5)?


1
Expert's answer
2021-03-15T20:58:31-0400

Assume the circuit is as shown below





R2R_2 and R3R_3 are in series


R2+R3=5+4=9ΩR_{2}+R_3=5+4=9\Omega


R2,R3andR4R_2,R_3and R_4 combined gives

1/R=1/9+1/4=13/36,R=36/13=2.769Ω1/R=1/9+1/4=13/36, R=36/13=2.769\Omega

Effective resistance, RE=6+2.769+8=16.769ΩR_E=6+2.769+8=16.769\Omega

given v=10vv=10v

I=V/RE=10/16.769=0.596AI=V/R_E=10/16.769=0.596A

VR5=IR=0.596×8=4.768vV_{R5}=IR=0.596\times 8=4.768v

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