(a) If an inductor carrying a 1.70-A current stores an energy of 0.300 mJ, what is its inductance? (b) How much energy does the same inductor store if it carries a 3.0-A current?

Q: A 12.0 V battery is connected into a series circuit containing a 14.0 2 resistor and a 1.90 H…

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Q: To construct an oscillating LC system, you can choose from a 10 mH inductor, a 5.0 mF capacitor, and…

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Q: Suppose that a rectangular toroid has 1500 windings and a self-inductance of 0.04 H. If the height…

A: Given : Number of turns, N= 1500 Self Inductance, L =0.04 H Height , h = 0.08 m  Energy stored , U=…

Q: When a certain inductor carries a current I, it stores 3mJ of energy in its magnetic field. How much…

A: Suppose inductance of conductor is L. Current flowing throught inductor is I. Energy = LI²/2.

Q: If the value of inductance is 20 H and 4A of current flows through it, Find the value of energy…

A: Formula used to find energy stored in inductor is U = 0.5 L I2

Q: An electromagnet can be modeled as an inductor in series with a resistor. Consider a large…

A: The inductance L=13.0 H The resistance R=3.50 Ω The emf of the battery V=18.0 V The maximum current…

Q: Show that the two expressions for inductance given by have the same units.

A: Given:  Inductance

Q: The wire of a tightly wound solenoid is unwound andused to make another tightly wound solenoid of…

A: The mathematical expression for the inductance is given as  L=μ0N2Al Here, μ0 is the permittivity of…

Q: If the value of inductance is 20 H and 4A of current flows through it, Find the value of energy…

A: Write the given values of this problem. L=20 HI=4 A

Q: The current in a long solenoid with an inductance L=0.5 is varying as I(t)=0.2sin(500t). Find the…

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Q: Can a circuit element have both capacitance and inductance?

A: No, it is not possible that a circuit element has both capacitance and inductance.

Q: An inductor has a current I(t) = (0.500 A) cos[(275s-1)t] flowing through it. If the maximum emf…

A: An inductor is a passive electrical device which stores energy in a magnetic field when current is…

Q: In the circuit shown, how much energy is stored in the inductor when steady state is reached? The…

A: Given: The inductance is 6 H.

Q: A device is turned on and 3.00 A flows through it 0.100 ms later. What is the self-inductance of the…

A: Given:  change in current, di = 3 A  time taken, dt = 0.1 ms = 1 x 10-4 s  induced emf, e = 150 V

Q: WER A 1. What is the value of the induced voltage of the self-inductance when the rate of current is…

A: Write the given values of this problem. i1=200 μAi2=20 μATotal time interval=5 μS

Q: How fast can the 150 A current through a 0.250 H inductor be shut off if the induced emf cannot…

A: Given:  Current, i = 150 A  inductance, L = 0.25 H  Voltage, V = 75 V

Q: How can we calculate the self inductance of a solenoid?

A: Solenoid is a device made by a coil of wire.

Q: When the 20.0 A current through an inductor is turned off in 1.50 ms, an 800 V emf is induced,…

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Q: Why in present day technology we do not use inductance filters?

A: In the present day technology inductance filters because of damping of AC signals.

Q: Find the energy stored in a 6.8-mH inductor when the current is 3.7 A.

A: Given, Inductance(L) = 6.8*10-3  Current(I) = 3.7 Ampere

Q: A 24-V battery is connected in series with a resistor and aninductor, with R = 8.0 Ω and L = 4.0 H,…

A: Formula to calculate current at any time in a circuit is,

Q: Calculate the self-inductance (in mH) of a 50.0 cm long, 10.0 cm diameter solenoid having 1000…

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Q: Is more energy stored in an inductor by doubling the inductance or by doubling thecurrent?

A: To determine: Whether the energy stored is more or not by doubling the inductance or the current.

Q: An inductor carrying a current of 3.9 A stores 0.45 J of energy. What is the inductance ofthis…

A: To determine inductance of inductor, the expression is, U=12LI2

Q: Show that the self-inductance per unit length of an infinite, straight, thin wire is infinite.

A: From Ampere’s law

Q: When the current through a large inductor is interrupted with a switch, an arc appears across the…

A: In an inductor an induced emf is produced when current flows through it due to mutual inductance.

Q: A 2.00-H indductor carries a steady current of 0.500A. When the switch in the circuit is opened,the…

A: L = 2.00H Steady Current (Ii) = 0.500 Amp time = 10.0 ms

Q: An inductor stores 775.79J of energy at a current of 3.19A.  What is the inductance of the inductor?

A: Energy stored in an inductor with inductance L and carrying current I is given by E=12LI2 This…

Q: If a current, i(t) flows an inductor with inductance 0.9 H, and induces a voltage VL(t)= 3 t√…

A: Voltage across inductor as a function of time

Q: In the RL circuit of Figure 14.12 e (b), can the emf induced across the inductor ever be greater…

A: In RL circuit emf of the circuit is given as E=VR+VL…

Q: An LR ciruit contains an ideal 60-V battery, a 51-H inductor having no resistance, a 21ohm…

A: Given: Resistance=21 ohm Voltage across the resistor is equal to voltage across the inductor. So…

Q: A 12.0 V battery isconnected into a series circuit containing a 10.0 Ohms resistor and 2.00 H…

A:

Q: Find the inductance and induced emf for a solenoid with a cross-sectional area of 1.3 × 10-3m2. The…

A: Given: Cross-sectional area of solenoid = 1.3×10-3 m2. Length of solenoid l = 9.0 cm. = 9×10-2 m.…

Q: The current in a 62 mH inductor changes with time as I = bt2 - at. With a 6 A/s and b = 6 A/s, find…

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Q: A rectangular conducting loop is placed on a flat surface, with the longer sides parallel to a…

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Q: If an inductor carrying a current of I = 1.3 A stores PE = 0.643 J of energy, what is its…

A: Given Data: The current is: I=1.3 A The stored potential energy in the inductor is: PE=0.643 J

Q: A 24.0-V battery is connected in series with a resistor and an inductor, with R= 8.00 Ω and L = 4.00…

A: (a) The current at any time in the circuit is given by, i=Imax1-e-tτ The time constant is given by,…

Q: A self-induced emf in a solenoid of inductance L changes in time as ε = ε0e-kt. Assuming the charge…

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Q: If you want a characteristic RL time constant of 1.00 s, and you have a 500 Ω resistor, what value…

A: Expression for the time constant of an RL circuit -  τ=LRWhere, L =Inductance R=Resistance…

Q: Suppose that a rectangular toroid has 2000 windingsand a self-inductance of 0.040 H. If h = 0.10 m ,…

A: Given Data: The number of winding is, N = 2000. The self inductance is, L=0.040 H. The height is, h…

Q: Why, in practice, a fully charged capacitor and inductor will dissipate its energy?

A: In this question we have to answer why in a fully charged capacitor and inductor energy is…

Q: If you want a characteristic RL time constant of 1.20 s, and you have a 490 2 resistor, what value…

A: The time constant for an RL circuit is defined by τ=LR. L is the self-inductance of the inductor and…

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.