A resistor of 200 Ω and a capacitor of 15.0 µF are connected in series to a 220 V, 50 Hz ac source. (a) Calculate the current in the circuit; (b) Calculate the voltage (rms) across the resistor and the capacitor.

A resistor of 200 Ω and a capacitor of 15.0 µF are connected in series to a 220 V, 50 Hz ac source. (a) Calculate the current in the circuit; (b) Calculate the voltage (rms) across the resistor and the capacitor.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 32P: A 40-mH inductor is connected to a 60-Hz AC source whose voltage amplitude is 50 V. If an AC...

See similar textbooks

Related questions

Q: An AC source (Vrms = 287 V, frequency f = 49.9 Hz) is connected in series to a resistor R = 75.5 Q…

A: The phase angle of an RC series circuit is given by, ϕ=cos-1RZ Here, Z is the impedance of the…

Q: When an AC source is connected across a 20.0 resistor, the output voltage is given by Av = (120…

A: Given data The magnitude of the resistor’s resistance is R = 20 Ω. The output voltage is given as…

Q: Find the value of the capacitive reactance and current through a 100 µ F capacitor when connected to…

A: Given data: Capacitance (C) = 100 μF = 100×10-6 F Voltage (V) = 24 V Frequency (f) = 50 Hz…

Q: An AC voltage of the form Av= 100 sin 1 000t, where Av is in volts and t is in seconds, is applied…

Q: When a 4uF capacitor is connected to a generator whose rms output is 30 V, the current in the…

Q: An AC voltage of the form Δv 5 (90.0 V) sin (350t) isapplied to a series RLC circuit. If R = 50.0…

A: Part A:

Q: A 1.40 kW hairdryer and a 100.0 W light bulb are turned on in the same 120 V AC parallel circuit.…

Q: An AC voltage of the form Av = 95 sin 270t where Av is in volts and t is in seconds, is applied to a…

Q: When an AC source is connected across a 10.0-N resistor, the rms current in the resistor is 7.38 A.…

Q: An AC voltage of the form Av = 100 sin 1 000t, where Av is in volts andt is in seconds, is applied…

A: Given data, AC voltage, ∆V = 100sin(1000t) volts Resistance, R = 325 Ω Capacitance, C =4.95 μF…

Q: When a 6.0-uF capacitor is connected to a generator whose rms output is 33 V, the current in the…

A: Data Given , Capacitance ( C ) = 6 μF = 6 × 10-6 F RMS output ( V ) = 33 V Current ( I ) = 0.35 A…

Q: A circuit consists of a capacitor and resistor in series with an AC voltage source, as shown. If VAC…

A: The problem can be solved as follows

Q: Find the value of the capacitive reactance and current through a 100 u F capacitor when connected to…

Q: An AC voltage of the form Av = (65.0 V)sin(270t) is applied to a series RLC circuit. If R = 42.0 Q,…

Q: When an AC source is connected across a 12.0 - resistor, the rms current in the resistor is 8.00 A.…

Q: • A circuit consists of an ideal ac generator, a 20-uF capac- itor, and an 80-2 resistor, all…

A: Given value--- capacitance =20 micro F. resistance = 80 ohm. emf = 20 V. angular speed = 400 rad…

Q: rms current across the resistor

Q: An AC generator is connected to a 21.0 Q resistor. The output voltage of the generator is given by…

Q: The output voltage of an AC generator is given by Δ v = (170 V) sin (60πt). The generator is…

Q: A circuit consists of an ideal ac generator, a 20-uF capac- itor, and an 80-2 resistor, all…

A: Given, Capacitance=20muoF Resistance=80ohm Peak emf=20v

Q: Calculate the rms currents for an ac source given by v(t) = Vo sin(wt), where Vo = 160 V and w 340T…

Q: At what frequency will a generator with an rms voltage of 524 V produce an rms current of 7.10 mA in…

Q: Identical resistors are connected to separate 12 V AC sources. One source operates at 60 Hz, the…

A: Given: Resistor connected to AC

Q: A generator delivers an AC Voltage of the form Av = (96.0 Výsin(457tt) to a capacitor. The maximum…

A: Given that V = (96 V) Sin (45πt) Maximum current = 0.90 A V r m s = 0.707 x peak voltage frequency…

Q: What maximum current is delivered by an AC source with ΔVmax = 52.0 V and f = 70.0 Hz when connected…

A: What maximum current is delivered by an AC source with ΔVmax = 52.0 V and f = 70.0 Hz when connected…

Q: Calculate the rms currents (in A) for an AC source given by v(t) = Vo sin(@t), where Vo = 100 V and…

Q: An AC voltage source and a resistor are connected in series to make up a simple AC circuit. If the…

Q: Find the value of the current flowing through a capacitance 0.5 u F when connected to an AC source…

A: Write the given data. V=150 Vf=180π HzC=0.5×10-6 F

Q: An AC voltage of the form Av = 115 sin 260t where Av is in volts and t is in seconds, is applied to…

A: ∆v = 115 Sin(260t) R = 58 ohm C = 28 μF L = 0.300 H

Q: An ac generator with a frequency of 125 Hz and an rms voltage of 42.5 V is connected in series with…

A: The expression for the reactance of the capacitor is Xc=1ωC=12πfC Here, XC is the reactance, C is…

Q: When a only capacitor is connected to AC source of 200 rms voltage the current in the circuit is 3…

A: Average Power in AC circuits is given by Pavg=VrmsIrmscosϕ where ϕis the phase difference between…

Q: An AC voltage source of v = 310 sin (25nt) is connected to a 140 Q resistor, where V is in Volts and…

Q: The output voltage of an AC generator is given by Δ v = (170 V) sin (60πt). The generator is…

Q: An AC voltage of the form Δv = 95 sin 290t where Δv is in volts and t is in seconds, is applied to a…

Q: What maximum current is delivered by an AC source with Δ V max 5 48.0 V and f = 90.0 Hz when…

Q: A generator delivers an AC voltage of the form Av = (68.0 V)sin(557Tt) to a capacitor. The maximum…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: An AC voltage of the form Av = (100.0 V)sin(280t) is applied to a series RLC circuit. If R = 60.0 Q,…

A: The inductive reactance of the circuit is, XL=ωL=2800.250=70 Ω The capacitive reactance of the…

Q: . A pair of power transmission lines each have a 0.95Ωresistance and carry 740 A over 9.0 km. If the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: An AC voltage of the form Av in seconds, is applied to a series RLC circuit. Assume the resistance…

A: The impedance of the circuit is as follows: Z=R2+XC-XL2Z=R2+1ωC-ωL2…

Q: When connected to a 86.0-Hz AC source, an inductor has an inductive reactance of 31.0 0. What is the…

Q: The voltage output of an AC source is given by the expression Δυ = 200 sin ωt, where Δυ is in volts.…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Calculate the rms currents for an ac source is given by v(t)=v0sint , where V0=100V and =200rad/s when connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.
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?
Explain why at high frequencies a capacitor acts as an ac short, whereas an inductor acts as an open circuit.
The emf of an ac source is given by v(t)=v0sint. where V0=100V and at =200rad/s . Calculate the average power output of the source if it is connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.
The emf of an ac source is given by v(t)=V0sint, where V0=100V and =200 . Find an expression that represents the output current of the source if it is connected across (a) a 20-pF capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.
A 20-mH inductor is connected across an AC source with a variable frequency and a constant-voltage amplitude of 9.0 V. (a) Determine the reactance of the circuit and the maximum current through the inductor when the frequency Is set at 20 kHz. (b) Do the same calculations for a frequency of 60 Hz.
Write an expression for the output voltage of an ac source that has an amplitude of 12 V and a frequency of 200 Hz.
An ac source of voltage amplitude 100 V and variable frequency f drives an RLC series circuit with R=10 , L = 2.0 mH, and C=25F (a) Plot the canal through the resistor as a function of the frequency f. (b) Use the plot to determine the resonant frequency of the circuit.
A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power source oscillating at 60-Hz frequency. (a) Find the current in the circuit. (b) Find the voltage drops across the resistor and inductor. (C) Find the impedance of the circuit. (d) Find the power dissipated in the resistor. (e) Find the power dissipated in the inductor. (1) Find the power produced by the source.
For an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively; R=500 ; and L = 0.20H . Find the average power dissipated in the resistor for the following values for the capacitance: (a) C=2.0F and (b) C=2.0F .
An AC generator with an rms emf of 15.0 V is connected in series with a 0.54-H inductor. The frequency of the source emf is 70.0 Hz. Draw a phasor diagram for this circuit, including the current, the potential difference across the inductor, and the source emf. Draw your diagram with the current phasor pointing toward the right along the horizontal axis.
In a purely inductive AC circuit as shown in Figure P21.15, Vmax = 100. V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) At what angular frequency is the maximum current 2.50A? Figure p21.15