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Solving Two Loops

Part of the Electricity and Magnetism section of Coddy's Physics journey. Lesson 32 of 51.

Three unknown currents need three equations: one junction rule and two loop rules.

Two loops

Give each current a direction, write the rules with those directions, and solve them together. A negative current flows the other way.

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Challenge

In the circuit, ε₁ = ε₂ = 12 V, R₁ = 2 Ω, and R₂ = R₃ = 4 Ω. What current I_3 flows through R₃? Give every current a direction first.

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