Answered: In an oscillating RLC circuit with L =…

In an oscillating RLC circuit with L = 20 mH, C = 7.5 µF, and R = 3.0 N, how much time (in ms) elapses before the amplitude of the oscillations drops to half its initial value? ms

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 71P: In an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses...

See similar textbooks

Related questions

Q: The capacitive reactance is most nearly А. 167 The current in the circuit is given by i(t) = I…

Q: An LC circuit consists of initially fully charged capacitor with a capacitance of 525 x 10-6 F and…

A: Given: Capacitance, C = 525 x 10-6 F Maximum energy stored, U = 0.65 J Resonant frequency, w =…

Q: Consider a series RLC circuit where ?=25.0 Ω,?=15.5 μF and ?=0.0940 H, that is driven at a frequency…

Q: A wooden toroidal core with a square cross section has an inner radius of 13 cm and an outer radius…

A: Given : Inner radius (a) = 13 cm = 0.13 m Outer radius (b) = 16 cm = 0.16 m Diameter (d) = 0.90 mm =…

Q: (b) Calculate the total inductance at the terminals a-b, for the circuit shown in FigureQ2(b). 5mH…

Q: Draw an RL circuit with a resistor of R = 2on and an inductor of L = 0.5 H connected in series with…

Q: The circuit overall impedance is most nearly A. 335 2 The current in the circuit is given by i(t) =…

Q: An inductor (L) – resistor (R) – capacitor (C) circuit has C=5.8 µF and L=0.35 mH. From the choices,…

A: Given Data Capacitance of the capacitor is given as C=5.8 μF=5.8×10-6 F Inductance of the inductor…

Q: A sinusoidal voltage Av = 37.5 sin(100t), where Av is in volts and t is in seconds, is applied to a…

A: Given value--- L = 150 mH. C = 99 micro H. R = 65 ohm. We have to find--- numerical value for fi…

Q: An oscillating LC circuit consisting of a 2.0 nF capacitor and a 1.0 mH coil has a maximum voltage…

Q: A sinusoidal voltage Av = 45.0 sin(100t), where Av is in volts and t is in seconds, is applied to a…

A: ∆v = 45 Sin(100t) L = 0.19 H C = 99 μFR = 69 ohm

Q: C = 1.0 [μF] and @ = Ο Α. 0.1 [ΚΩ] Ο Β. 1 [ΚΩ] Ο c. 10 [ΚΩ] Ο D. 100 [ΚΩ] •What is the impedance of…

A: L = 10 mH R = 100 ohm C = 1 μF ω = 104 rads

Q: What is the impedance of a series L-R-C circuit with L = 10 [mH], R = 0.1 [kn], C = 1.0 [F] and w =…

A: Given Inductance is L=10 mH=10×10-3 H Resistance is R=0.1 kΩ=0.1×103 Ω Capacitance is C=1.0…

Q: An RLC circuit has resistance R = 190 Q and inductive reactance X, = 395 Q. HINT (a) Calculate the…

Q: The current through the inductor of an LC circuit oscillates at o (3.27x 10brad/s. If the inductance…

Q: In an L-C circuit, C= 3.21 μF and L = 88.0 mH . During the oscillations the maximum current in the…

A: L = 88 mH = 0.088 H C = 3.21×10-6 F Imax = 0.853 mA

Q: The current through the inductor of an LC circuit oscillates at o = (5/V3)rad/s. If the capacitance…

Q: An oscillating LC circuit consisting of a 2.0 nF capacitor and a 1.0 mH coil has a maximum voltage…

A: Given: C=2nF = 2x10-9F L=1mH = 1x10-3H Vmax = 4V

Q: A series RLC circuit has components with the following values: L = 20.0 mH, C = 100 nF, R = 20.0 Ω,…

Q: 5. In an oscillating RLC circuit with L = 10 mH, C = 1.5 µF, and R = 2.0 N, how much time elapses…

A: The amplitude of the oscillation decreases because heat dissipates through resistor and hence the…

Q: An oscillating LC circuit consisting of a 4.0 nF capacitor and a 4.0 mH coil has a maximum voltage…

A: Data Given , Value of Capacitor ( C ) = 4 nF = 4 × 10-9 F Value of Inductor ( L ) = 4 mH = 4 × 10-3…

Q: An RL circuit consists of a 37.5 Q resistor and a 260 mH inductor. Randomized Variables R = 37.5 N L…

A: Given data : Resistance, R = 37.5 Ω Inductance, L = 260 mH = 260×10-3 H =0.26 H…

Q: At a given time t in an LC circuit, the energy in the capacitor is 25.0% of the energy in the…

Q: Consider an LC circuit with L= 0.2 henry and C= 5*10^-4 farad. At time t= 0, when both i(0) and…

A: Current =voltage /impedence

Q: You want to obtain an amplitude of current equal to 1.80 mA passing through a 0.450 mH inductor (a…

A: Given: The amplitude of the current is 1.8 mA. The inductance of the circuit is 0.45 mH. The…

Q: The components of a series R-L-C circuit have values R = 100 N, L = 170 mH, and C = 10 µF. The…

A: Here, Given that XL = 2Xc

Q: ) Problem 3: An LC circuit consists of a 3.75 mH inductor and a 7.5 µF capacitor. Rar domized…

Q: In a RLC circuit connected in series, the phase angle between the voltages, V of the inductor, L and…

A: In an RLC circuit, the voltage across the inductor (VL) leads the current by 90 degrees and the…

Q: At a given time t in an LC circuit, the energy in the capacitor is 25.0% of the energy in the…

A: At t =0 , capacitor is fully charged i.e. all energy is in form of electrical energy stored in…

Q: The current through the inductor of an LC circuit oscillates at ω = (3.2 π x 103) rad/s. If the…

Q: An oscillating LC circuit consisting of a 2.0 nF capacitor and an 8.0 mH coil has a maximum voltage…

A: SOLUTION AS

Q: A wooden toroidal core with a square cross section has an inner radius of 15 cm and an outer radius…

A: Given : Inner radius of toroidal (r1) = 15 cm = 0.15 m Outer radius of toroidal (r2) = 19 cm = 0.19…

Q: An RLC circuit is used in a radio to tune into an FM station broadcasting at f = 99.7 MHz. The…

Q: In an L-C circuit, L = 85.0 mH and C = 3.20 uF. During the oscillations the maximum current in the…

A: Given that, L = 85.0 mH C = 3.20 μF Maximum current, imax = 0.850 mA According to the conservation…

Q: The inductive reactance of a 20.0-mH inductor at a certain frequency is 120 Ω. What is the frequency…

A: The inductive reactance is a function of frequency. Depending on the frequency, inductive reactance…

Q: What is the impedance of a series L-R-C circuit with ? = 10 [mH], ? = 0.1 [kΩ], ? = 1.0 [?F] and ? =…

A: Part (1): Given: The inductance is 10 mH = 0.01 H. The resistance of the circuit is 0.1 kΩ = 100 Ω.…

Q: An RLC circuit such as that of Figure (a) has R = 4.87 02, C = 20.5 µF, L = 1.34 H, and Em = 25.0 V.…

Q: In an oscillating LC circuit in which C- 4.1 UF, the maximum potential difference across the…

Q: A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The period…

Q: A sinusoidal voltage Av = 45.0 sin(100t), where Av is in volts and t is in seconds, is applied to a…

A: The given values are written below with appropriate variables. Here, ∆V denotes the potential…

Q: A 20.0-mH inductor is connected to a North American electrical outlet (ΔVrms = 120 V, f = 60.0 Hz).…

A: Given:inductance, L = 20.0×10−3 H= 0.02 Hrms voltage, Vrms = 120 Vtherefore peak voltage, Vo =…

Q: Series RLC circuit with L=160mH , C= 100mF and R= 40.0ohms is connected to a sinusoidal voltage…

Q: The current amplitude I versus driving angular frequency wa for a driven RLC circuit is given in the…

Q: An electric doorbell uses an electromagnet to pull on a steel hammer that rings the bell. The…

Q: A 36.0-mH inductor is connected to a North American electrical outlet (AV. ms = 120 V, f = 60.0 Hz).…

Q: A wooden toroidal core with a square cross section has an inner radius of 10 cm and an outer radius…

A: a) The required value of inductance is,

Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

100%

In an oscillating RLC circuit with L = 20 mH, C = 7.5 µF, and R = 3.0 N, how much time (in ms) elapses before the amplitude of the oscillations drops to half its initial value?
ms

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

Figure CQ20.7 shows a slidewire generator with motional cmf 0 when the wire at A slides across the top and bottom rails at constant velocity v0. (a) When the wire reaches B so that the area enclosed by the circuit is doubled, determine the ratio of the new cmf to the original cmf, /0. (b) If the wire's speed is doubled so that v = 2v0 determine the ratio /0. Figure CQ20.7
Figure CQ20.7 shows a slidewire generator with motional cmf 0 when the wire at A slides across the top and bottom rails at constant velocity v0. (a) When the wire reaches B so that the area enclosed by the circuit is doubled, determine the ratio of the new cmf to the original cmf, /0. (b) If the wire's speed is doubled so that v = 2v0 determine the ratio /0. Figure CQ20.7
An RLC circuit has resistance R = 225 and inductive reactance XL. = 175 . (a) Calculate the circuits capacitive reactance XC if its power factor is cos = 0.707. Repeat the calculation for (b) cos = 1.00 and (c) cos = 1.00 102.
In the transformer shown in Figure P33.51, the load resistance RL is 50.0 . The turns ratio N1/N2 is 2.50, anti the rms source voltage is Vs = 80.0 V. If a voltmeter across the load resistance measures an rms voltage of 25.0 V, what is the source resistance Rs?
An RLC circuit has resistance R = 225 and inductive reactance XL. = 175 . (a) Calculate the circuits capacitive reactance XC if its power factor is cos = 0.707. Repeat the calculation for (b) cos = 1.00 and (c) cos = 1.00 102.
The self-inductance and capacitance of an LC circuit e 0.20 mH and 5.0 pF. What is the angular frequency at which the circuit oscillates?
In an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a charge of 8.0 C and the current is zero. Calculate the charge on the capacitor (a) five cycles later and (b) 50 cycles later.
The current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the inductor is 5.0 . Calculate the voltage across the inductor at t = 2.0 ms, r = 4.0 ms, and t = 8.0 ms.
An inductor and a resistor are connected in series across an AC generator, as shown in Figure CQ21.16. Immediately after the switch is closed, which of the following statements is true? (a) The current is V/R. (b) The voltage across the inductor is zero. (c) The current in the circuit is zero. (d) The voltage across the resistor is V. (e) The voltage across the inductor is half its maximum value. Figure CQ21.16
A series RLC circuit has resistance R = 50.0 and inductance L. = 0.500 H. (a) Find the circuits capacitance C if the voltage source operates at a frequency of f = 60.0 Hz and the impedance is Z = R = 50.0 . (b) What is the phase angle between the current and the voltage?
A 75-turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 radius in a 1.25 T field, starting with the plane of the coil parallel to the field. (a) What is the peak emf? (b) At what time is the peak emf first reached? (c) At what time is the emf first at its meet negative? (d) What is the period of the AC voltage output?
An inductor and a resistor are connected in series across an AC generator, as shown in Figure CQ21.16. Immediately after the switch is closed, which of the following statements is true? (a) The current is V/R. (b) The voltage across the inductor is zero. (c) The current in the circuit is zero. (d) The voltage across the resistor is V. (e) The voltage across the inductor is half its maximum value. Figure CQ21.16