Question

Web Assign and the result in your paper submission on the Dropbox). The correct solution on Web Assign is not sufficient to get full points. The Full solution that includes a detailed diagram for each numerical problem, even if a diagram is provided in the text problem. The scanned solution must also your FULL name, SIGNATURE, and student ID. Consider the following circuit. The resistance of 4 resistors is 25 Ohm, and the resistance of R3 is 100 ohm. Label and clearly mark the currents and current directions in your own diagram, What is the effective resistance of one resistor that would replace all 5 resistors ohm The battery is 6V. What is the current in R3? A What is the voltage across R5? V

Answer 1

R₃ and R₄ are in series and their combination is given as

R₃₄ = R₃ + R₄ = 100 + 25 = 125 ohm

R₃₄ and R₂ are in parallel and their combination is given as

R₂₃₄ = R₂ R₃₄ /(R₂ + R₃₄) = 25 x 125 /(25 + 125) = 20.83 ohm

R₁ R₂₃₄ and R₅ are in series and their combination is given as

R₁₂₃₄₅ = R₁ + R₂₃₄ + R₅ = 25 + 20.83 + 25 = 70.83 ohm

current in R₁ and R₅ = 6/70.83 = 0.085 A

V₁ = V₅ = 0.085 x 25 = 2.125

V₂ = V₃₄ = 6 - 2.125 - 2.125 = 1.75 volts

i₃ = V₃₄/R₃₄ = 1.75/125 = 0.014 A