A change in current produces change in the electromagnetic field, which induces a voltage across the coil according to Faraday's law of electromagnetic induction. Which implies that the voltage across the inductor is directly proportional to the time rate of change of current. Find the energy stored by the inductor in terms of current and inductance of the inductor. Given the current, i(t) = 2t^3 A, through a 5 H inductor. Find the energy stored in the inductor at t = 5 s, assume initial conditions to be zero.

Q: A circular coil of radius 0.120 m contains a single turn and is located in a constant magnetic field…

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Q: lowing through a solenoid of inductance 7.4 H.    Part(a): Determine the magnetic flux through the…

A: The Current in the solenoid of inductance is I = 3.9 A  The Inductance L = 7.4 H  Find:- Part(a):…

Q: The current in a long solenoid varies as I(t) = Io sin(ωt). Use Faraday’s law to find the induced…

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Q: a] Faraday's law of induction states that the emf induced in a loop is directly proportional to the…

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Q: In one laboratory experiment to investigate energy stored in an inductor, a 125 V power supply is…

A: Given V= 125 VC= 250 pF = 250 x 10-12 FL=225 mH =225 x 10-3 H

Q: At t = 0, a battery is connected to a series arrangement of a resistor and an inductor. At what…

A: The expression for the instantaneous current is,

Q: A closely wound rectangular coil of 100 turns has a dimension of 12.0cm x 25.0cm. In time t=0.0800 s…

A: Given, Number of turns of rectngular coil, N = 100dimension, 12.0 cm ×25.0 cmtime, t = 0.080 sit…

Q: Suppose that a rectangular toroid has 2,000 windings and a self-inductance of 0.060 H. If the height…

A: The energy stored in an inductor is, U=12LI2

Q: Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays…

A: The expression for the EMF of a coil, ε=-dϕdtThe magnetic flux of the coil isϕ=MI

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

A: Using the energy stored in an inductor, U=12LI2I=2UL

Q: A physics student notices that the current in a coil of conducting wire goes from / = 0.200 t 2 1.50…

A: induced emf is given by ∈=-Ldidt=-Li2-i1t2-t1t2-t1=0.250 seci2=1.50 Ai1=0.200 AL=3 mH=3×10-3 H

Q: A flat circular coil with 130 turns, a radius of 4.99 x 10-2 m, and a resistance of 0.544 2 is…

A: Given:No of turns, N = 130Radius of coil, r = 4.99×10-2 mResistance of coil, R = 0.544 ΩRate of…

Q: A 75-turn coil has a diameter of 10 cm. The coil is placed in a spatially uniform magnetic field of…

A: We know that induced emf  ε=-NAdBdt.........(1)

Q: A 12 H inductor carries a current of 2 A. At what rate must the current change to produce a 60V emf…

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Q: A physics student observes that the current in a coil of conducting wire goes from i, = 0.200 A to…

A: Given: Inductance L = 4mH or 0.004 H                               i1= 0.200 A…

Q: At a certain instant the current flowing through a 5.0-H inductor is 3.0 A. If the energy in the…

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Q: A 45-turn coil has a diameter of 17 cm. Find the magnitude of the emf induced in the coil (in V) if…

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Q: The time variation of the current in a 32.0-mH inductor is given by  I = 9.00 + 3.00t − 3.00t2,…

A: L = 32.0 mH = 32.0 x 10-3 H I = 9.00 + 3.00t − 3.00t2

Q: A 10.7-V battery, a 4.92-2 resistor, and a 10.1-H inductor are connected in series. After the…

A: V = 10.7 Volts R = 4.92 ohm L = 10.1 H current = maximum

Q: The figure below shows a circular conducting loop in the presence of an outward non-uniform magnetic…

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Q: A 163-turn circular coil of radius 3.03 cm and negligible resistance is immersed in a uniform…

A: According to Faraday's law of electromagnetic induction, rate of change of flux linkages is equal to…

Q: A rectangular loop of wire has area A. It is placed perpendicular to a uniform magnetic field B and…

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Q: A 159-turn circular coil of radius 3.35 cm and negligible resistance is immersed in a uniform…

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Q: A rectangular loop of area A=0.160 m2 is placed in a region where the magnetic field is…

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Q: A 9.1-V battery, a 4.90-2 resistor, and a 10.5-H inductor are connected in series. After the current…

A: Recall when current has reached maximam value, the inductor offer zero resistance.

Q: A 21-turn circular coil of radius 3.00 cm and resistance 1.00 N is placed in a magnetic field…

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Q: The rate of change of current in coil 1 is di1dt=3mA/s. Hence, there's a change of magnetic flux in…

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Q: A 9.9-V battery, a 5.01-N resistor, and a 9.1-H inductor are connected in series. After the current…

A: Given: The supply voltage is 9.9 V. The resistance of the circuit is 5.01 Ω. The inductance of the…

Q: A circular coil of radius 0.130 m contains a single turn and is located in a constant magnetic field…

A: (a) The magnitude of the emf induced in the coil is EMF=N∆ΦB∆t=N∆BAcosθ∆t…

Q: A coil consists of 200 turns of wire having a total resistance of 2.0 Ω. Each turn is a square of…

A: Given : n=200              R=2Ω             a=20×10-2m             Bi=0T             Bf=0.5T…

Q: When a coil is placed in a magnetic field, the coil's normal to the plane stays parallel to the…

A: Given information: A system of coil, magnetic field are arranged in such a manner that average emf…

Q: A technician wearing a circular metal band on his wrist moves his hand (from a region where the…

A: Answer :-  Given  Magnitude of magnetic field (B) = 1.6 T  Angle ( theta ) = 450 Diameter of the…

Q: A coil with an inductance of 2.0 H and a resistance of 10ohm is suddenly connected to an ideal…

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Q: A circular coil with 455 turns of wire has radius 5.00 cm and resistance 14.5 Ω. The area vector of…

A: (a)The equation for the induced emf is given by,

Q: A 20-turn circular coil of radius 3.20 cm and resistance 1.00 2 is placed in a magnetic field…

A: Given that,                           Number of turns, N = 20                    Radius of circular…

Q: A circular coil with a diameter of 12.75 cm is made up of thin wire wound into 445 turns. It is…

A: Given  Diameter = 12.75 × 10-2 m  Number of turn N = 445  Rate of change of magnetic field = dB/dt =…

Q: A rectangular loop (area = 1.4 m²) turns in a uniform magnetic field, B = 1.3 T. When the angle…

A: Given Data:- Area of the loop is A=1.4 m2 Magnetic field is B=1.3 T Angle between the magnetic field…

Q: A coil with an inductance of 2.6 H and a resistance of 8.2 Ω is suddenly connected to an ideal…

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Q: An electric current flows through a coil with an inductance of 6.7 mH. The graph shows the…

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Q: A charged capacitor and an inductor are connected at time t = 0. In terms of the period T of the…

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

Q: In a physics laboratory experiment, a coil with 170 turns enclosing an area of 14 cm2cm2 is rotated…

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Q: A 9.9-V battery, a 5.01-0 resistor, and a 9.1-H inductor are connected in series. After the current…

A: The solution is given below

Q: A technician wearing a circular metal band on his wrist moves his hand (from a region where the…

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Q: A 181-turn circular coil of radius 2.85 cm and negligible resistance is immersed in a uniform…

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Q: When the current in a toroidal solenoid is changing at a rate of 0.234 A/s, the magnitude of the…

A: Given: current in the toroidal solenoid is changing at a rate of 0.234 A/s induced emf is 9 mV…

Q: A rectangular loop of area A=0.160 m2 is placed in a region where the magnetic field is…

A: The magnetic field's magnetic force on the moving charges, current-carrying wires. The moving charge…

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

A: The given values are, N=2000L=0.040 Hh=0.10 mU=2.0×10-6 J

Q: At a certain instant the current flowing through a 5.0-H inductor is 3.0 A. If the energy in the…

A: Given data: Current I=3.0A Inductance L=5.0H Change in Energy dE/dt=3.0J/s

Q: A coil with radius 4.00 cm contains 500 turns, and is placed in a uniform magnetic field that varies…

A: According to the faraday's law of electro magnetic induction  The rate of change of magnetic flux is…

Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.