Voltage Calculation

Electricity and Magnetism Level pending

An R L RL load is to the right of the green dots. If the load dissipates 100 100 watts of active power, what is the R M S RMS source voltage magnitude?


The answer is 28.868.

Steven Chase by Steven Chase , 37, USA

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1 solution

Steven Chase
Jul 22, 2019

Determine the current magnitude.

P = ∣ I ∣ 2 R L 100 = ∣ I ∣ 2 3 ∣ I ∣ = 10 3 P =|I|^2 \, R_L \\ 100 = |I|^2 \, 3 \\ |I| = \frac{10}{\sqrt{3}}

Determine the total circuit impedance:

Z = Z S + Z R = 4 + j 3 ∣ Z ∣ = 5 Z = Z_S + Z_R = 4 + j3 \\ |Z| = 5

Calculate the source voltage magnitude:

∣ V ∣ = ∣ I ∣ ∣ Z ∣ = 50 3 |V| = |I| |Z| = \frac{50}{\sqrt{3}}

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