If the rate at which energy is dissipated by resistor 1 in Figure P31.86 is \(0.75 \mathrm{~W}\), and \(R_{1}=12 \Omega, \mathscr{E}_{1}=4.5 \mathrm{~V}\), and \(\mathscr{E}_{2}=8.0 \mathrm{~V}\)

(a) what is the value of \(R_{2}\) ?

(b) At what rate is energy dissipated in resistor 2?

(c) Which battery supplies energy to the circuit, and at what rate does it do so?

(d) At what rate is energy used by the other battery?

Data from Figure P31.86

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