For the circuit shown, the total capacitance is 100μF 100μF 10V 25μF7 * 25µ F O a) 25 µF b) 12.5 µF O c) 212.5 µF d) 50 µF
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- Assume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the capacitor, EC, is 104 V; and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. Find the missing values. ET ER78V EC104V IT IR IC Z20 R XC VA P VARSC PF CAssume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the inductor, EL, is 104 V, and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. ETITZ20VAPFER78VIRRPEL104VILXLVARsLLAssume that the current flow through the resistor, IR, is 15 A; the current flow through the inductor, IL is 36 A; and the circuit has an apparent power of 10,803 VA. The frequency of the AC voltage is 60 Hz. ET ER EL IT IR15A IL36A Z R XL VA10,803 P VARSL PF L
- A 200 Ω resistor, 0.900 H inductor, and 6.00 µF capacitor are connected in series across a voltage source that has voltage amplitude 30.0 V and an angular frequency of 250 rad/s. (a) What are v, vR, vL, and vC at t = 20.0 ms? Compare vR + vL + vC to v at this instant. (b) What are VR, VL, and VC? Compare V to VR + VL + VC. Explain why these two quantities are not equal.The voltage across a 100-μF capacitor takes thefollowing values. Calculate the expression for thecurrent through the capacitor in each case.a. vC(t) = 40 cos(20t − π/2) Vb. vC(t) = 20 sin 100t Vc. vC(t) = −60 sin(80t + π/6) Vd. vC(t) = 30 cos(100t + π/4) VAn RLC series circuit contains an unknown capacitor, an inductor with an inductance of 40 mH, and a resistor with a value of 16 Ω. The circuit is connected to a 240-V, 60-Hz line. If a current of 8 A flows in the circuit, determine the value ofthe unknown capacitor? Show your work. a) 2.575 uF b) 25.75 uF c) 257.5 uF d) 2575 uF
- 12. 7.12 In the circuit , let Ig represent the dc current source, σrepresent the fraction of initial energy stored in the inductor that isdissipated in to seconds, and L represent the inductance. 1. a) Show thatR=Lln[1/(1−σ)]2toA series L–R–C circuit has a supply input of 5 volts. Given that inductance, L = 5 mH, resistance, R = 75ohm and capacitance, C = 0.2µF, determine (c) the frequency at which the p.d. across the capacitance is a maximum and (d) the value of the maximum voltage across the capacitor. answer: c) 4741 hz, d)10.85voltsA circuit is designed with an AC source of max voltage 12 and frequency 60 Hz. The circuit has a resistance of 1050 Ohms, an inductance of 0.06 Henrys, and a capacitance of 0.009 coulombs per volt. - omega for source in rad/s? - omegaR for circuit? -XL? -XC? -phi in radians? -Z? -imax?
- For the circuit shown, the current source’s current and voltage are 3e-25t A and 9.6e-25t + 0.4 V (t ≥ 0). The initial capacitor voltage is vC(0) = −2V. Determine the values of the capacitance C and resistance R. Hint: vC(t) = vC(0) + 1/C∫iC(t)dt. Answer: 50mF, 4ΩA LC circuit in a radio tuned to 1080 kHz has an inductor with an inductance value of 60 μH and a resistance of 0.25 Ω. a. what is the capacitance of the LC circuit? b. sketch the impedance phasor diagram for the radio. Be sure to label important features of the diagram.Find the impedance theoretically of a wire if it carries the frequency 10 kHz have a voltage is 8v, the current is 2mA, resistance is 12 kΩ , inductance 27 mH and capacitance 0.2 µf