Find value of load resistance for loaded overdrive factor

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Establish an expression for the loaded overdrive factor that σ_L, of the transistor in the inverter circuit demonstrated below in terms of the circuit parameters. Determine the minimum allowable value of the load resistance R_L when the inverter should provide a drive ability of N=8 along with a loaded overdrive factor as σ_L = 2, when V_CC = 5V, R_B = 10k?, R_C = 1kΩ and β_F = 40.

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