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Power transferred to load 
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#1
Sep711, 10:43 AM

P: 61

1. The problem statement, all variables and given/known data
Calculate the power transferred when Vi(t) = 50 cos (4π 10t) in the attached figure. 2. Relevant equations P(load) = V(load rms)I(load rms)cos(phase(V)phase(I)) The solution must be P(load) = 3.82 W. 3. The attempt at a solution I've calculated the Thevenin equivalent of the circuit outside the load. Vth = 27.1<12.5º and Zth = 12.1<75.96º. I've also calculated Zload = 50 Ω approximately. V(load rms) is obtained by the voltage divisor. I got about 17.7<0º and I(load rms) = V(load rms)/Z(load) = 0.353<0º. So, using the formula in section 2., P(load) = 6.24 W, which is not the correct result. Where have I made a mistake? Thank you. 


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