In Figure P31.72, (mathscr{E}_{1}=5.0 mathrm{~V}, mathscr{E}_{2}=5.0 mathrm{~V}, mathscr{E}_{3}=1.5 mathrm{~V}), (R_{1}=50 Omega, R_{2}=50 Omega), and (R_{3}=50 Omega). What

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In Figure P31.72, \(\mathscr{E}_{1}=5.0 \mathrm{~V}, \mathscr{E}_{2}=5.0 \mathrm{~V}, \mathscr{E}_{3}=1.5 \mathrm{~V}\), \(R_{1}=50 \Omega, R_{2}=50 \Omega\), and \(R_{3}=50 \Omega\). What are

(a) the current in each branch of the circuit 

(b) the potential differences \(V_{\mathrm{ab}}, V_{\mathrm{bc}}, V_{\mathrm{cd}}, V_{\mathrm{de}}, V_{\mathrm{ef}}\), and \(V_{\mathrm{fa}}\) ?

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