Question #164568


An RLC circuit is connected to 60hz, 240volts a.c supply. If R=50ohms, C=100uf and M=0.12h. Calculate the power used in circuit


Expert's answer

P=U2ZP=U2R2+(2πfL−12πfC)2P=2402502+(2π(60)(0.12)−12π(60)(10−4))2=1079 WP=\frac{U^2}{Z}\\P=\frac{U^2}{\sqrt{R^2+(2\pi f L-\frac{1}{2\pi f C})^2}} \\P=\frac{240^2}{\sqrt{50^2+(2\pi (60)(0.12)-\frac{1}{2\pi (60)(10^{-4})})^2}}=1079\ W


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