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4. An RC series circuit draws 220 W from a tilt! J' {m8}. 1300 H2 supply line. The phase angle ls 64 and the source

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4. An RC series circuit draws 220 W from a tilt! \\J' {m8}. 1300 H2 supply line. The phase angle ls 64 and the source voltage tags the current. a. Calculate the rrns current in the circuit. b. What is the resistance R of the circuit? c. What is the capacitance value? d. Find the inductance of an inductor that will result in a phase angle of zero when added in series with the RC circuit. e. What power will then be drawn from the supply line? 5. A resistor (R = 500 Q), a capacitor (C = 4.43 pF), and an inductor (L = 400 mH) are connected in series as shown in the gure. A 50-Hz AC generator connected between points a and d produces a maximum current of 250 mA in the circuit. 9-9575\" e. f. a. b c d R C L Draw a phasor diagram for this circuit. Calculate the inductive and capacitive reactance of the circuit. Calculate the required maximum voltage of the source Vmax. Determine the phase angle by which the source current leads or lags the source voltage. Find the average power delivered to the circuit. Find the rms voltages Vab, Vbc, Vcd, Vbd, and VaC at resonance. 6. A plane electromagnetic wave varies sinusoidally at 90 MHz and travels along the z direction. The peak value of the electric eld is 200 V/m and is directed along the +x directon. a. b. was f. Find the wavelength, wave number, the period, and the maximum value of the magnetic eld. Write expressions in SI units for the space and time variations of the electric and magnetic eld. Include numerical values and include unit vectors to indicate coordinate directions for both elds. Find the intensity of the wave as it propagates through space. Find the average energy density in the radiation. . What average radiation pressure would this wave exert upon a perfectly reecting surfa. at normal in" ce?_ What m fl; pied to a 50 9 sheet with dimensions

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