What is order to guarantee a maximum dissipated power

Question

 Assignment:

1. Calculate the following:

a) (P1)_mW = 0.10 mW in dBm.

b) (P2)_dBm = 40 dBm in W.

c) (P3)_dBm = -30 dBm in dBrn.

d) (P4)_dBm = -40 dBm in dBW.

e) (P5)_pW = 30 pW in dBrn.

2. Let a matched two-terminal device have open circuit source voltage

v_i(t) = A[1 + cos(2Πƒ_ct)] cos(2Πƒ₀t)

with f₀ = 10 fc. Let the device be closed on a resistive load RL = 100. What is the value of A in order to guarantee a maximum dissipated power at the load (P_max)_dBm = 5 dBm?