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)?
Assume the circuit is as shown below
R2R_2R2 and R3R_3R3 are in series
R2+R3=5+4=9ΩR_{2}+R_3=5+4=9\OmegaR2+R3=5+4=9Ω
R2,R3andR4R_2,R_3and R_4R2,R3andR4 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\Omega1/R=1/9+1/4=13/36,R=36/13=2.769Ω
Effective resistance, RE=6+2.769+8=16.769ΩR_E=6+2.769+8=16.769\OmegaRE=6+2.769+8=16.769Ω
given v=10vv=10vv=10v
I=V/RE=10/16.769=0.596AI=V/R_E=10/16.769=0.596AI=V/RE=10/16.769=0.596A
VR5=IR=0.596×8=4.768vV_{R5}=IR=0.596\times 8=4.768vVR5=IR=0.596×8=4.768v
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