The potential difference between positions a and (mathrm{b}) in Figure P31.51 is (5.5 mathrm{~V}), and (R_{1}=5.0 Omega,

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The potential difference between positions a and \(\mathrm{b}\) in Figure P31.51 is \(5.5 \mathrm{~V}\), and \(R_{1}=5.0 \Omega, \mathscr{E}_{1}=8.0 \mathrm{~V}\), and \(\mathscr{E}_{2}=4.0 \mathrm{~V}\). What is the value of the resistance \(R_{2}\) ?

Data from Figure P31.51

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