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1. Homework Statement
Three resistors, R1 = 27 Ω, R2 = 42 Ω, and R3 = 53 Ω, are connected in a multiloop circuit, as shown in the figure. Determine the amount of power dissipated in the three resistors.
2. Homework Equations
Junction Rule
Loop Rule
3. The Attempt at a Solution
I am getting mired in the math.
i_{2} + i_{3} = i_{1}
V_{2} + i_{2}R_{2}  i_{1}R_{1} = 0
V_{1} + i_{1}R_{1}  i_{3}R_{3} = 0
I try using these equations to reduce it down to one variable, but I can't get there.
Three resistors, R1 = 27 Ω, R2 = 42 Ω, and R3 = 53 Ω, are connected in a multiloop circuit, as shown in the figure. Determine the amount of power dissipated in the three resistors.
2. Homework Equations
Junction Rule
Loop Rule
3. The Attempt at a Solution
I am getting mired in the math.
i_{2} + i_{3} = i_{1}
V_{2} + i_{2}R_{2}  i_{1}R_{1} = 0
V_{1} + i_{1}R_{1}  i_{3}R_{3} = 0
I try using these equations to reduce it down to one variable, but I can't get there.
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