At what two times in the first period following t = 0 does the instantaneous voltage in 37 Hz AC equal Vrms? (Enter the first two times t and tz. Assume zero phase shift.) t = 3.38 20 What is the expression for the voltage of an AC source? What units should you use for the argument of the sine function? ms V ms
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- The circuit shown in the sketch is connected to an ac generator with an rms voltage of 120 V. What value must R have if the rms current in this circuit to approach 1.0 A at high frequency? Answer Units: [Ohms] 500 R ww ww L Original circuit C₁ 120 V 100 (2 C₂The voltage supplied to an ac circuit is given by v = (120 sin(60t))V. What are the rms voltage and the frequency? a) 120 V, 60 Hz b) 120 V, 380 Hz c) 170 V, 9.5 Hz d) 85 V, 9.5 Hz e) 240 V, 30 HzWhat maximum current is delivered by an AC source with AVmax = 58.7 V and f = 72.1 Hz when connected across a 3.70-µF capacitor? Step 1 The applied AC source determines the voltage amplitude and frequency. We will compute the reactance of the capacitor at this frequency and use the definition of reactance to find the current. The impeding effect of capacitance C in an AC circuit with frequency f is called capacitive reactance. Capacitive reactance is defined by the following equation. 1 Xc = 2zfC For the maximum current I Imax Imax = = ΔV, = max Xc Substituting the expression for capacitive reactance and solving for the current gives ΔV. max Xc max = at applied voltage ΔV, AV max . (2πf) C V 2π mA. max' we have JH₂) ( Hz |x 10-6 F)
- A 2.6-k resistor and a 4.0-μF capacitor are connected in series to an ac source. Part A Calculate the impedance of the circuit if the source frequency is 55 Hz. Express your answer to two significant figures and include the appropriate units. Z = Submit Part B Z = 0 Submit Value Request Answer Calculate the impedance of the circuit if the source frequency is 10000 Hz. Express your answer to two significant figures and include the appropriate units. Value Units Request Answer 2 Units ?Please box answers for DWrite an expression for the output voltage of an ac source that has an amplitude of 8 V and a frequency of 100 Hz. Use t as the variable for time in seconds, and assume that V(t = 0) = 0V. V(t) =
- In a simple AC circuit shown on the right, C = 0.0045 F, L = 1.4 H, R = 45 Ω, and ΔV = ΔVmaxsin(ωt), where ΔVmax = 5.5 V and ω = 45 rad/s. a. Calculate the numerical value of Z in ohms. b. Calculate the numerical value of Imax in A. c. Calculate the numerical value of φ in radians.An AC circuit has a purely capacitive load. If the amplitude of the EMF is 10.27 V with a frequency of 193.3 Hz, the capacitance is 73.2 UF, and the driving voltage is initially zero. What is the current in the capacitor after 0.732 s? A Save for Later Submit AnswerA resistor and an unknown device are connected in series with an AC generator as shown in the diagram below. The current lags behind the voltage of the generator by 69º. R www X (a) If the total impedance of the circuit is 223 , what is the value of the resistor in the circuit? Ω (b) What is the reactance of the device? Ω
- An engineer has a 62.0 µH inductor, a 62.0 µF capacitor, and a variable frequency AC source. Determine the source frequency (in kHz) at which the inductor and capacitor have the same reactance. kHzIn the circuit shown below, R= 200.0 2, C = 6.00 µE and the AC source is given by 8 = 170.0 sin (377t), where ɛ is in volts and t is in seconds. The magnitude of phase angle between the current and the source voltage is: H (AC R O a. 65.6 degrees O b. 35.0 degrees Oc. 45.0 degrees O d. 60.0 degrees O e. 72.4 degrees