A conducting coil, with current i(t) = 4.40e−0.0250t sin(120πt), with i in amperes and t in seconds, is placed next to a second coil, end to end. At t = 0.720 s, a lab tech measures the emf across the second coil, and the result is −3.50 V. What is the mutual inductance (in mH) of the coils?

A conducting coil, with current i(t) = 4.40e−0.0250t sin(120πt), with i in amperes and t in seconds, is placed next to a second coil, end to end. At t = 0.720 s, a lab tech measures the emf across the second coil, and the result is −3.50 V. What is the mutual inductance (in mH) of the coils?

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter18: Resistive-inductive Parallel Circuits

Section: Chapter Questions

Problem 2PP: Assume that the current flow through the resistor, IR, is 15 A; the current flow through the...

See similar textbooks

Related questions

Q: A Maxwell's capacitance bridge shown in fig is used to measure on unknown inductance in comparison…

Q: Two coils of inductance ?1 = 1.16 mH, ?2 = 2 mH are connected in series. Find the total energy…

Q: An electric current flows through a coil with an inductance of 6,7 mH. The graph shows the…

A: The solution is given below

Q: Consider the electric circuit consists of two coils, as shown. The self inductances of coils are…

A: The given circuit is excited with the current i(t) = I0 Sin(wt) from the primary side. The secondary…

Q: A coil having a 240V source has a current of 10.5 A when the frequency is set to 60 Hz. When the…

Q: 3.. A coil of 1000 turns is uniformly wound on a ring of non-magnetic material, the mean diameter…

A: Given:N=1000A=4 cm2 or 4×10-4 m2d=20 cm or .2 m

Q: l for a relay has a resistance of 30 CI and an inductance of 2 H. If the relay requires 250 mA to…

A: A coil consists of several turns, and it opposes the change in current. A current-carrying coil…

Q: Calculate the inductance of the coil shown with rolativo por moability of 2000 The num moability of…

Q: R4 S2 Si iT Re RIS C3 |ic2 VT C2 C1 R2 SR3

Q: The relative permeability of the manufactured solenoid from the previous question is:

Q: 3. A coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 x 10³ m². The…

Q: Calculate the voltage at the terminals of a coil of resistance 10 ohms and inductance 15H at the…

A: In this solution the concept related to the practical inductor is discussed

Q: A coil has an inductance of 40 mH and negligible resistance. Calculate its inductive reactance and…

A: As per the question, it is given that Inductance = 40 mH Frequency f1 = 50 Hz Voltage V1 = 240 V…

Q: . Consider a device connected to an ac power supply. The current leads the voltage by 90°, with the…

A: (a) Since the current leads the voltage by 90° the given device is capacitor. (b) The angular…

Q: 3. Write the equation for capacitor voltage, v(t)=V0e−t/τ, for t≥0

A: Consider the RC charging circuit as shown in the figure below: The figure shows the RC circuit…

Q: A. A coil of 1000 turns is uniformly wound on a ring of non-magnetic material, the mean diameter…

A: we have given;number of turns in coil=1000the cross seectional area of coil =4cm2=4×10-4m2mean…

Q: A coil, with 100 mH of inductance and 10 Q of resistance, has been connected to an AC power supply…

Q: An AC voltage source of 100V and 50HZ is supplying a coil that has an inductance of 180 mH in series…

Q: i(1) 50 mH 3v() 7- A coil with an inductance of 50 mH is connected to a current source as shown in…

Q: An inductor coil with an inductance of 0.5 H and negligible resistance is connected across the…

Q: Two coils have a mutual inductance of 480mH. One coil is supplied with a current given by I(t) = 3t2…

A: It is Given that:M=480mHIt=3t2-2t-6

Q: An AC voltage source of 100V and 50HZ is supplying a coil that has an inductance of 100 mH in series…

A: Due to guidelines we can solve one complete question at a time if you want another question 's…

Q: If the current flowing through a 8 H inductor is given by i(t) = 4cos() A, 709 How much energy is…

Q: calculate the heart rate in beats perminute for R=150 kΩ, C=6 μF, if the capacitor discharges when…

A: Calculate the time constant of the circuit. τ=RC=150×103 Ω6×10-6 F=0.9 s

Q: A pure inductor has a reactance value of 350 Q. If this inductor is supplied with a frequency of 60…

Q: Consider the circuit shown below where the battery has an emf of = 5.9 V, the resistors have the…

A: A circuit shown below where the battery has emf of ε=5.9 V. Resistance values : R1=7.1ΩR2=R3=4Ωand…

Q: EXAMPLE 10. The current in a 2 H inductor is shown. Compute the waveform for the voltage across the…

Q: A solenoid coil needs to be manufactured which produces an inductance of at least 2000 Gauss (in SI…

A: Given: Number of turns of the coil N=10, Length of solenoid l=1 cm =0.01 m, Current in the coil i=10…

Q: A coil has an inductance of 40mH and negligible resistance. Calculate its inductive reactance and…

A: According to the question we have to find the value of inductive reactance and current.

Q: Q 1. Two coils have a mutual inductance of 480mH. One coil is supplied with a current given I(t) =…

Q: 3. The current through an inductor with inductance of 1mH is given as i(t)= 0.010 sin 10°t A. What…

Q: A solenoid of length 8 cm has 130 turns of radius 5 cm. a) Ignoring end effects, what is its…

A: Given A solenoid of length 8 cm and 130 turns and 5 cm radius. We need to determine the self…

Q: A coil has 240 turns and is wound on an air-cored bobbin 4.5 cm long and 0.2 cm in diameter. Given…

A: Given a coil has 240 turns and is wound on an air cored bobbin 4.5 cm long and 0.2 cm in…

Q: All capacitors were initially discharged. at t = 0, S1 is placed at position 1 and S2 is closed.…

A: t = 0, S1 is placed at position 1 and S2 is closed. During this phase, it has been determined that…

Q: 8.What is the coefficient of coupling of two coils whose mutual inductance is 1 H and whose…

A: coefficient of coupling = mutual inductance bateween two coilproduct of inductance of the two…

Q: A coil with an inductance of 100 mH is connected in series with a resistance of 20 Ω. Find the…

Q: 2. The waveform below was supplied across a 0.6 µF capacitor. Determine the corresponding waveforms…

Q: Determine the resistance of an aluminium coil of 177 cm as diameter consists of 14900 turns and the…

Q: 377 rad/sec coil is provided i Q2\ The current through a 0.1 H and w = the sinusoidal expression for…

A: Voltage across inductor is given by v(t) = L × di/dt and voltage leads current by 90 degrees in…

Q: A. Two inductors whose self-inductances are given as 75mH and 55mH respectively, are positioned next…

A: In this question ,inductance related questions are given......We have to find out mutual inductance…

Q: A steady state of 20 mA is passed through a coil with an inductance of 100 mH. What is the voltage…

Q: A. (Show All the Calculations /Wherever Necessary Draw Diagrams) Q 1. Two coils have a mutual…

Q: A LRC electric circuit is conected in series has a voltage source of E(t)=20sin(10t) Volts, and a…

A: Fig: RLC circuit for t<0 initial charge on capacitor is 2 coulombs Although…

Q: An inductance comparison bridge has L1=100µH and R4=10KN. When neasuring an unknown inductance, null…

A: Data given L1=100μHR1=37.1ΩR3=27.93KΩR4=10KΩf=1 MHz=106Hz

Q: Two coils have a mutual inductance of 480mH. One coil is supplied with a current given by I(t) = 3t2…

Q: Calculate the inductive reactance of a 150mH inductor that has a 100mA RMS 2kHz current passing…

A: Inductive reactance =XL=wL=2 x pi x f x L f=2kHz or 2000 Hz L=150 x10^-3 H

Q: Suppose you have an inductor whose inductance you want to increase. Just like you can increase the…

A: We can use Liquid Oxygen also in order to increase the inductance,because it will also have…

Q: Two coils A and B have, initially, a mutual inductance of 250 mH, and the current in coil A is 2 A.…

A: Given data, The value of current (i) = 2 A The value of time(T) = 0.2 sec

Q: Cime (s) 0.5 1 1.5 2 2.5 3 3.5 4 Joltage (V) | 100 62 38 21 13 7 4 2 3

Q: 3. A voltage across a 0.5 H is provided below. What is sinusoidal expression for the current? e…

A: Before getting in to the actual question lets get in to the current and voltage relationship across…

Concept explainers

Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

A conducting coil, with current i(t) = 4.40e^−0.0250t sin(120πt), with i in amperes and t in seconds, is placed next to a second coil, end to end. At t = 0.720 s, a lab tech measures the emf across the second coil, and the result is

−3.50 V.

What is the mutual inductance (in mH) of the coils?

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 6 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, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Assume 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 coil of 1000 turns is uniformly wound on a ring of non-magnetic material, the mean diameter is 20cm. The cross-sectional area of the coil is 4 cm2. Determine the self-inductance of the coil.
A cylinder whose radius is 2cm and altitude of 100cm is uniformly wound with 2500 turns of wires in a single layer. A second layer of 100 turns and of much finer wires is wound over the first near its center. Calculate the mutual inductance of the coils.
A LRC electric circuit is conected in series has a voltage source of E(t)=20sin(10t) Volts, and a resistance of 20 ohm, and a inductance of 0.05 Henrys and a capacitor of 0.01 Farads, if the current equal to 0, and the initial charge of the capacitor is 2 coulombs, Calculate the charge in the capacitor when t=0 and the current in the circuit when t > 0
Q.) Two coils with inductances L1 = 10H and L2 = 12H are connected in series and spaced apart so that they do not influence each other. • What is their equivalent inductance? • We place the coils together in such a way that their mutual inductance is LM = 7H. What is their equivalent capacitance if they are wound in the same direction, and what is it if they are wound in opposite directions?
A solenoid coil needs to be manufactured which produces an inductance of at least 2000 Gauss (in SI system = Tesla) when a 10mA current flows through the conductor. Due to space limitations, the coil should be composed of 10 turns over a 1cm length. Do the required calculations and select a core material for the coil from the table below. Your answer will be given over the following series of questions. A. H = 0.12566 oersted B. H = 12.56637 oersted C. H = 1.25664 The relative permeability of the manufactured solenoid from the previous question is: A. μr = 15.916 B. μr = 15915.964 C. μr = 1.2665e10 D. None of the mentioned/ Geen van die genoemde
A solenoid coil needs to be manufactured which produces an inductance of at least 2000 Gauss (in SI system = Tesla) when a 10mA current flows through the conductor. Due to space limitations, the coil should be composed of 10 turns over a 1cm length. Do the required calculations and select a core material for the coil from the table below. Your answer will be given over the following series of questions. A. H = 0.12566 oersted B. H = 12.56637 oersted C. H = 1.25664
ELECTRICAL TRANSIENTSA certain precision 1 microfarad capacitor has very high resistance material used between its conducting surface. The capacitor is charged to 1 volt at t = 0 and disconnected from the source. It is found that the voltage drops to 0.80 v in 1 hour. What is the insulator resistance?
1. Find the outer radius of a coaxial cable having a characteristic impedance of 12 and a dielectric constant of 0.06. The outer inner radius of this cable is 4 cm. 2. How much is the inductance of a coil of an instrument that induces 1000 V when its current changes at the rate of 50 mA in 2 µs
A coil for a relay has a resistance of 30 CI and an inductance of 2 H. If the relay requires 250 mA to operate, how soon will it operate after 12 V is applied to the coil?
Given the capacitance of four capacitors Ca= 30 µF, Cb = 20 µF, Cc = 40 µF and Cd = 10 µF. If Cb and Cc are connected in parallel and the parallel combination is connected in series with Ca and the combination is further connected in parallel with Cd, calculate (a) the equivalent capacitance (b) the voltage across each capacitor if the circuit is supplied by 240 volts DC source (c) the charge on each capacitor.
A capacitor is made from two flat parallel plates placed 2 mm apart, .and its capacitance at vacuum is 10-12- F , if 200 volt applied in between then a Dielectric material was entered and its Dielectric constant Is 49 , Calculate : a) the new value of capacitance after the entrance of the Dielectric b) what is the value of charge on Dielectric material surface c) the polarization p of the Dielectric material d) calculate the displacement and the field inside the Dielectric