A charged capacitor and an inductor are connected at time t = 0. In terms of the period T of the resulting oscillations, what is the first later time at which the following reach a maximum: (a) UB, (b) the magnetic flux through the inductor, (c) di/dt, and (d) the emf of the inductor?

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: A rectangular metallic loop of dimensions ℓ and ω and resistance R moves with constant speed υ to…

A: Given: Dimension of loop = l×w. Width of magnetic field = 3w. Velocity of loop = v. Resistance with…

Q: 193‑turn circular coil of radius 3.97 cm and negligible resistance is immersed in a uniform magnetic…

A:

Q: Two identical long wires of radius a =1.53 mm are parallel and carry identical currents in opposite…

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Q: A V = 47.0 V power supply fully charges a capacitor with capacitance C = 1.37 µF. The capacitor is…

A: The LC circuit described above performs oscillations, where at a time, the total energy in the…

Q: A rectangular wire loop with length a and width b lies in the xy-plane, as shown below. Within the…

A: Given: A rectangular wire loop with length a and width b lies in the xy-plane, as shown below,

Q: A circular loop of wire with radius r= 10 cm and resistance R= 2.0 Ωlies in the xyplane. The loop is…

A: a. Using Faraday's law, emf induced is,…

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: 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 square coll with sides equal to 30 cm, composed of 20 turns, carries an electric current of 3 A…

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Q: A flexible loop has a radius of 12.0 cm and is in a magnetic field of magnitude 0.150 T. The loop is…

A: Given data The radius of the flexible loop is: R = 12 cm = 0.12 m The magnitude of the magnetic…

Q: A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t) =…

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Q: A 48 turn conductive loop encloses an area of 71 m 2 At what constant rate should the magnetic field…

A: Given, Number of turns N = 48  Area A = 71m2 emf ε=3.58 Volts   We know the expression for induced…

Q: The frequency of oscillation of a certain LC circuit is 200 kHz.At time t = 0, plate A of the…

A:

Q: A circular wire loop of radius rrr = 18 cmcm is immersed in a uniform magnetic field BBB = 0.340 TT…

A: A magnetic field is the velocity-dependent component of the electrostatic field, which is exerted by…

Q: An air-core solenoid contains 1060 m of wire per meter and has a cross-sectional area of 0.23 m. A…

A: Given: The number of turns per length in the solenoid: n = 1060 m-1. The cross-sectional area of…

Q: The figure shows a rectangular loop of wire with resistance of 95.0 N immersed in a nonuniform and…

A:

Q: In the figure below, the magnetic flux that crosses the indicated turn decreases with time according…

A: Given :- magnetic flux  ϕ = 4t2+2t weber

Q: A rectangular wire loop with length a=3 cm and b=7 cm width lies in the x,y-plane, as shown below.…

A:

Q: LA conducting loop is immersed in an external magnetic field that is decreasing in magnitude. The…

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Q: A circular wire loop with radius r = 20cm is placed in a region where magnetic field is…

A: The induced emf in the circular loop is given by the relation e = -dϕdt…

Q: A toroid of rectangular cross section has height h=0.0137 m, inner radius ry -0.0231 m and outer…

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Q: In a 280-turn automobile alternator, the magnetic flux in each turn is . = 2.50 x 10* cos wt, where…

A: The emf induced due to N closely spaced coils is given by Lenz's law:ε=-NdϕBdt………(1)where,ϕB is the…

Q: In a 250-turn automobile alternator, the magnetic flux in each turn is P = 2.50 × 10-4 cos wt, where…

A: Introduction:The equation for induced emf is given as:ε = -NdϕBdt   -1Here, N are the number of…

Q: In a 240-turn automobile alternator, the magnetic flux in each turn is OR = 2.50 x 10** cos ot,…

A:

Q: A square loop of side 2 meters is located on the xy plane. The loop has total resistance R= 8N.…

A:

Q: In Figure (a), the inductor has 29 turns and the ideal battery has an emf of 42 V. Figure (b) gives…

A: Given Data, Total Number of turns (N)=29 Ideal battery emf (V)=42 V Magnetic flux in the vertical…

Q: When the current through an inductor is decreasing at a constant rate of 0.5A/s, the magnitude of…

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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 long straight wire runs along the y-axis and carries a current i = 4.00cos (377t), where į is in…

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Q: An h by w rectangular conducting loop is situated in a charging magnetic field B = B,sinwtây. The…

A: Given quantities: Magnetic field (B) = B0sin(ωt)ax length of the loop = h width of the loop = w Let,…

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: Consider a stationary square loop antenna of area 400cm², which has an internal resistance of R=5 Q.…

A: Given that,                   area (A)= 400cm2                  internal resistance (R) =5 ohm…

Q: P12.15(a) Show that when the current in an isolated circuit element changes, the magnetic induction…

A: Solution 5(a): To prove ε = -LdIdt

Q: A toroidal solenoid has 2900 closely wound turns, cross-sectional area 0.450 cm2, mean radius 9.00…

A:

Q: Suppose a magnetic field pointing in the +z-direction is increasing at a rate of 0.3 T/s inside a…

A:

Q: An inductor is formed by winding N turns of a thin conducting wire into a circular loop of radius a.…

A: Given data: Magnetic field, B=B02y^+3z^sinωt Number of turns, N=10 B0=0.2 T; a=10 cm=0.10 m;…

Q: (1) ta

A: Given: r0=0.1 mv=0.015 m/sR=12 ΩB0=0.75 Tt=5 s

Q: In a 300-turn automobile alternator, the magnetic flux in each turn is og = 2.50 x 10* cos wt, where…

A: The given data are listed below with appropriate variables.  Here, N denotes the turn, ΦB denotes…

Q: A circular coil has a 10.0 cm radius and consists of 30 closely wound turns of wire. An externally…

A: An inductor is a device that formed a known magnetic field in a stated region. If a current I is…

Q: A capacitor in an LC oscillator has a maximum potential difference of 24.0 V and maximum energy of…

A: Given : Vmax = 24 V Umax = 184 uJ = 184 x 10-6 J V = 12 V

Q: A square wire with side a = 0.085 m is in a time-varying magnetic field with magnitude B(t) = At,…

A: Given: Side of the square wire, a = 0.085 m Magnetic field, B(t) = At  A = 0.15 T/s The angle…

Q: Find an expresssion for the emf induced in the loop as a function of time.

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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 rectangular loop of area A is placed in a region where the magnetic field is perpendicular to the…

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Q: The frequency of oscillation of a certain LC circuit is 168 kHz. At time t = 0, plate A of the…

A: (a) There will be maximum positive charge in plate A again after integral multiple of the time…

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.