P 4.2-4 Consider the circuit shown in Figure P 4.2-4. Find values of the resistances R₁ and R₂ that cause the voltages v₁ and v₂ to be v₁ = 1 V and v₂ = 2 V.

Figure P 4.2-4

Write out the voltage node equations

and

Since we know both v₁ and v₂, we can substitute those values and solve for R₁ and R₂

and

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