Consider the power amplifier in Figure P15.87 with parameters \(V^{+}=15 \mathrm{~V}, V^{-}=-15 \mathrm{~V}\), and \(R_{L}=20 \Omega\). The closed-loop gain must be 10. Design the circuit such that the power delivered to the load is \(5 \mathrm{~W}\) when \(v_{I}=-1 \mathrm{~V}\). If the four transistors are matched, determine the minimum \(\beta\) required such that the op-amp output current is limited to \(2 \mathrm{~mA}\) when \(5 \mathrm{~W}\) is delivered to the load.

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RB ww V+ RA 23 Figure P15.87 + Q2 24 R RL