A wire of nonmagnetic material, with radius R, carries current uniformly distributed over its cross section. The total current carried by the wire is I. Show that the magnetic energy per unit length inside the wire is μ0I2/16π.

Q: The figure shows the cross-section of a hollow cylindrical conductor with radii a=1.3 cm and b=4.1…

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Q: A current-carrying rectangular wire loop with width a = 0.105 m and length b = 0.210 m is in the…

A: We know that magnetic force F = I(L x B ) where B represented as magnetic field and L represented…

Q: A uniform magnetic field is perpendicular to the plane of a circular loop of diameter 15 cm formed…

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Q: An airplane wingspan can be approximated as a conducting rod of length 30 m. As the airplane flies…

A: The expression for the Hall emf is,

Q: A magnetic field of 2.9 T passes through a single loop square coil of side length 3.4x 10-2 m which…

A: N= no. of turn= 1 B(magnetic field)=2.9 T side(a)= 3.4 x10-2m

Q: If 53.6 cm of copper wire (diameter = 0.889 mm, resistivity = 1.69 x 100-m) is formed into a…

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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: The figure shows a circular loop of radius a=2.1 cm concentric with a circular arc of radius b-3.6…

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Q: A loop of radius a = 9.5 cm lays in the x-y plane, in a region of uniform, time-dependent magnetic…

A: Radius of circular loop (R) = 9.5 cm = 0.095 m Magnetic field ( B[t]) = 1.6 t Resistance (R) = 4.1…

Q: A current-carrying rectangular wire loop with width a = 0.115 m and length b = 0.205 m is in the…

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Q: A square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic…

A: Given: The length of wire is L=6 cm. The radius of wire is r=1 mm. The rate of magnetic field is…

Q: A Boeing 747 aircraft with a wingspan of 65 m is cruising at 260 m/s over northern Canada, where the…

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Q: In Figure (a), a uniform magnetic field B increases in magnitude with time t as given by Figure (b),…

A: Given: Bs = 9.1mT ts = 4.2s A = 9.4×10-4 m2 qs = 7.1mC

Q: A circular area with a radius of 5 cm lies in the xy-plane. What is the magnitude of the magnetic…

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Q: A magnetic field of 8.1 T passes through a single loop square coil of side length 4.4 x 10-2 m which…

A: Given :         B= 8.1 T .        side length = 4.4×10^-² m     So Area =  side^2= (4.4×10^-²m )²…

Q: A strip of copper is placed in a uniform magnetic field of magnitude 2.5 T. The Hall electric field…

A: Given data: Hall electric field, Magnetic field, B = 2.5 T Number of electrons, Cross-sectional…

Q: A current-carrying rectangular wire loop with width a = 0.110 m and length b = 0.210 m is in the…

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Q: A rectangular loop of wire of sides W = 0.34 m and L = 0.6 m lying in xy plane carries a current of…

A: The torque is given by  τ→ = M→ × B→ where, M is the magnetic moment and B is the magnetic field.…

Q: Calculate the magnetic flux density and force between the conductors of a 10 m long coaxial cable…

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Q: A conducting rod spans a gap of length L = 0.234 m and acts as the fourth side of a rectangular…

A: Given: Length of conducting rod (L) = 0.234 m. Magnitude of magnetic field (B) = 0.35 T The…

Q: In the figure, an electron with an initial kinetic energy of 4.10 keV enters region 1 at time t = 0.…

A: When a charged particle enters magnetic field which is perpendicular to it then its speed remains…

Q: A current-carrying rectangular wire loop with width a = 0.110 m and length b = 0.210 m is in the…

A: Givena = 0.110 mb= 0.210 mI = 2.75 AB = 0.350 T

Q: A coaxial cable consists of a long thin wire surrounded by a cylindrical conductor of radius 5mm. A…

A: Given information: Here, I is current in the wire and in the conductor, R is the conductor’s radius…

Q: A solenoid of length L=26 cm and cross-sectional area A=49 cm2 with N=81 turns of wire is carrying a…

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Q: A rectangular wire is moving to the right at constant speed, v, in a uniform magnetic field…

A: Given that:

Q: A coil of wire 0.25m long and having 400 turns carries a current of 15A. a. What is the magnitude of…

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Q: The current density in a very long cylindrical conductor of radius 10 cm is given as Jv=200e0.5az…

A: Given that the radius of the cylindrical conductor is r = 10 cm = 0.10 m. The current density is J.…

Q: The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by…

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Q: Mass m = 1.75 kg is suspended vertically at rest by an insulating string connected to a circuit…

A: Here we have to use some basic formula.

Q: In the figure, an electron with an initial kinetic energy of 3.70 keV enters region 1 at time t = 0.…

A: Given, Initial kinetic energy of electron, KE = 3.70 keV Magnitude of magnetic field in region 1, B1…

Q: In Fig. 2, an electron with an initial kinetic energy of 5.0 keV enters region 1 at time t= 0. That…

A: Given data: Points to keep in mind, When the electron enters the regions (1) and (2), it will…

Q: j(r)= see image for radius r in the range 0 R.  C) For what r, in meters, is the current enclosed…

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Q: A straight, stiff wire of length 2.50 m and mass 56.0 g in the plane of the page is suspended in a…

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Q: A conducting rod with length L = 18.6 cm is being pulled along a long rotated U-shape conductor,…

A: Write the expression for the induced emf and substitute the required values.

Q: Assume the expression of magnetic field in a certain region H= 89(x+2y)/z? ây + 2/z âz. APPLY the…

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Q: rectilinear conductor with current 8 A and length 25 cm, is located in the homogeneous magnetic…

A: The given data are listed below with appropriate variables. Here, I denotes the current and the L…

Q: A solenoid of length 2.50 cm and radius 0.750 cm has 33 turns. If the wire of the solenoid has 1.25…

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Q: Mass m = 1.30 kg is suspended vertically at rest by an insulating string connected to a circuit…

A: (a) The magnetic force experienced by the loop must be sufficient enough to balance the weight of…

Q: The following figure presents a long hollow conducting cylinder with an inner radius of a 2.0 cm and…

A: Given- The inner radius of cylinder (ri) = 2 cm = 0.02 m  The outer radius of cylinder (ro) = 4 cm =…

Q: A strip of copper is placed in a uniform magnetic field of magnitude 3.5 T. The Hall electric field…

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Q: A current-carrying rectangular wire loop with width a 0.115 m and length b = 0.220 m is in the…

A: Given data: The width of loop is a=0.115 m. The length of loop is b=0.220 m. Magnitude of current…

Q: A length of copper wire carries a current of 11 A, uniformly distributed through its cross section.…

A: Given data, Current = 11 A Diameter = 2.3 mm Resistance = 4.5 ohm/km

Q: A 13-cm length of wire is held along an east-west direction and moved horizontally to the north with…

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Q: Calculate

A: Given: Width of the wire = 0.115 m Length of the wire = 0.220 m Current in the wire = 3.50 A…

Q: In an experiment designed to measure the Earth’s magnetic field using the Hall effect, a copper bar…

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Q: B A conducting loop of wire of radius 5.30 cm and resistance 0.100 2, lies within a uniform magnetic…

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Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.