A capacitor is connected to an AC source. If the maximum current in the circuit is 0.580 A and the voltage from the AC source is given by Av = (83.8 V) sin[(66π)s-¹t], determine the following. (a) the rms voltage (in V) of the source V (b) the frequency (in Hz) of the source Hz (c) the capacitance (in µF) of the capacitor UF
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- An ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?A capacitor is connected to an AC source. If the maximum current in the circuit is 0.460 A and the voltage from the AC source is given by Δv = (87.0 V) sin[(96?)s−1t],determine the following. (a)the rms voltage (in V) of the source V (b)the frequency (in Hz) of the source Hz (c)the capacitance (in µF) of the capacitorA generator delivers an AC voltage of the form Δv = (72.0 V)sin(50?t) to a capacitor. The maximum current in the circuit is 0.650 A. Find the following. (a) rms voltage of the generator V(b) frequency of the generator Hz(c) rms current A(d) the reactance Ω(e) the value of the capacitance
- A series AC circuit contains a resistor, an inductor of 150 mH, a capacitor of 5.00 μF, and a generator with ΔVmax = 240 V operating at 50.0 Hz. The maximum current in the circuit is 100 mA. Calculate (a) the inductive reactance, (b) the capacitive reactance, (c) the impedance, (d) the resistance in the circuit, and (e) the phase angle between the current and the generator voltage.A capacitor is connected across the terminals of an ac generator that has a frequency of 310 Hz and supplies a voltage of 30 V. When a second capacitor is connected in parallel with the first one, the current from the generator increases by 0.24 A. Find the capacitance of the second capacitor. Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise.A series RLC circuit has a capacitance C=305μF, an inductance L=131 mH, and is driven by an AC generator producing a root‑mean‑square (rms) voltage Vrms=120.0 V with a frequency f=60.0 Hz. What resistance R is necessary to produce an rms current Irms=2.05 A?
- The output voltage of an AC generator is given by Δ v = (170 V) sin (60πt). The generator is connected across a 20.0-Ω resistor. By inspection, what are the (a) maximum voltage and (b) frequency? Find the (c) rms voltage across the resistor, (d) rms current in the resistor, (e) maximum current in the resistor, (f) power delivered to the resistor, and (g) current when t = 0.005 0 s. (h) Should the argument of the sine function be in degrees or radians? Step 1 Dear student, "Since you have posted a question with multiple sub-parts, we will solve first three sub parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved." Thank you! GIVEN: Output voltage, Δv = (170 V) sin (60πt) Resistance, R = 20.0-Ω arrow_forward Step 2 Part (a) Part (a) Standard equation can be represented as, Δv = Vmsin(ωt) Where, Vm = maximum voltage. ω = angular frequency. Compare the given equation with standard equation. We get, Vm…The output voltage of an AC generator is given by Δ v = (170 V) sin (60πt). The generator is connected across a 20.0-Ω resistor. By inspection, what are the (a) maximum voltage and (b) frequency? Find the (c) rms voltage across the resistor, (d) rms current in the resistor, (e) maximum current in the resistor, (f) power delivered to the resistor, and (g) current when t = 0.005 0 s. (h) Should the argument of the sine function be in degrees or radians? GIVEN: Output voltage, Δv = (170 V) sin (60πt) Resistance, R = 20.0-Ω arrow_forward Step 2 Part (a) Part (a) Standard equation can be represented as, Δv = Vmsin(ωt) Where, Vm = maximum voltage. ω = angular frequency. Compare the given equation with standard equation. We get, Vm = 170 V Answer arrow_forward Step 3 Part (b) Part (b) Angular frequency, ω = 60π ... (1) Also, ω = 2πf .... (2) Equate both, 2πf = 60π f = 60π/2π f = 30 Hz Answer arrow_forward Step 4 Part (c) Part (c) RMS voltage is…A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3 Ω, L = 25.48 mH, and C = 796 µF. Find (a) the impedance of the circuit; (b) the phase difference between the voltage across the source and the current; (c) the power dissipated in the circuit; and (d) thepower factor.
- The output voltage of an AC generator is given by Δv = (180 V)sin(50?t). The generator is connected across a 24.0-Ω resistor. (a) By inspection, what is the maximum voltage? V(b) By inspection, what is the frequency? Hz(c) Find the rms voltage across the resistor. V(d) Find the rms current in the resistor. A(e) Find the maximum current in the resistor. A(f) Find the power delivered to the resistor. W(g) Find the current when t = 0.0050 s. A(h) Should the argument of the sine function be in degrees or radians? The argument of the sine function should be in degrees.The argument of the sine function should be in radians.A generator delivers an AC voltage of the form Δ v = (98.0 V) sin (80πt) to a capacitor. The maximum current in the circuit is 0.500 A. Find the (a) rms voltage of the generator, (b) frequency of the generator, (c) rms current, (d) reactance, and (e) value of the capacitance.An ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle ϕ between the emf and the current?