(a)The magnetic field moves in a curled position while the electric field is diverging. Going uphill in the steepest direction is a gradient. From the mathematical point of view, sketch the physical interpretation of the following: (i)a gradient of a scalar field; (ii)a divergence of a vector field; and (iii)a curl of a vector field.

Q: If the solenoid is free to turn about the vertical direction and a uniform horizontal magnetic field…

A:

Q: Consider the hemispherical closed surface below. The hemisphere is in a uniform magnetic field that…

A:

Q: A given magnetic field directed downward has a magnitude of 97 microTesla. If a circular coil with a…

A:

Q: Suppose a rectangular wire loop of side s lying along the yz plane is immersed in a uniform external…

A: Given:- a rectangular wire loop of side s lying along the yz plane  The uniform exernal magnetic…

Q: What maximum value of flux can pass through the square loop of wire 10 cm on a side and is in a 1.25…

A:

Q: Assume a circular area A is enclosed by a wire loop that is under a constant magnetic field with…

A: The magnetic flux passing through a surface is given by : ϕ=BAcos θ Where B is the magnetic field A…

Q: e has dimensions 2.80 cm by 3.20 cm and is in a uniform magnetic field that is directed at an angle…

A:

Q: Starting from the magnetic field at a distance h about the axis of a circular loop of radius R…

A: we have to find magnetic field at a distance h about the axis of a circular loop of radious R in…

Q: An electron is placed inside a uniform magnetic field of magnitude 5 T.  If the electron is suddenly…

A: GivenMagnetic field (B→)=5Tvelocity of electron (V)=1 m/sDirection of electron is perpendicular to…

Q: A horizontal rectangular surface has an area of 8.96 x 10-4 m2 and is in a uniform magnetic field…

A:

Q: A neutral metal rod of length 0.25 m slides horizontally at a constant speed of 7 m/s on…

A: Solution: Net force on a mobile electron in the rod  is zero, since it is internal and the speed of…

Q: An electron is traveling in the positive x direction. A uniform electric field E is in the negative…

A: The formula for the electric force acting of the electron is:

Q: A Gaussian surface in the shape of a right circular cylinder with end caps has a radius of 15.1 cm…

A: The magnetic flux through the closed surface is zero.   The addition of the flux through the two…

Q: A uniform magnetic field passes through a horizontal circular wire loop at an angle 15.1° from the…

A:

Q: An "infinite" wire is bent so there is a semicircle of radius 0.544 mm in the center. If the wire…

A: There are three sections of the wire, the two straight line segments and the semicircular arc. The…

Q: An airliner is cruising in level flight over Alaska, where the Earth’s magnetic field has a large…

A: As given that the earth magnetic field has a downward component, so the plane tiles north and from…

Q: Consider a uniform 0.673-T magnetic field pointing north and an electron traveling at 57.0 m/s in a…

A:

Q: Show that the magnetic field at a distance r from theaxis of two circular parallel plates, produced…

A: Consider the labelled arrangement of the provided question.

Q: A horizontal rectangular surface has dimensions 2.80 cm by 3.20 cm and is in a uniform magnetic…

A:

Q: Consider an array of 5 straight pipes of infinite length, perpendicular to the page at distance α…

A:

Q: circular antenna of radius 98 cmis installed at a location where the plane of the antenna is…

A:

Q: room has its walls aligned accurately with respect to north, south, east, and west. The north wall…

A:

Q: concentric circular loops of wire lie on a tabletop, one inside the other. The inner wire has a…

A:

Q: A horizontal rectangular surface has dimensions 3.25 cmcm by 3.90 cmcm and is in a uniform magnetic…

A: The given data are: b=3.25 cm=0.0325 ml=3.9 cm=0.039 mθ=29°ϕ=4.1×10-4 Wb Here, b and l are the…

Q: In an overhead straight transmission wire, the direction of current is north. The magnetic field due…

A: The Maxwell's right hand rule we know that, when current pass through a conductor in a direction…

Q: A 100 turn circular coil of radius 40 cm is placed in the earth's magnetic field 0.39 G, such that…

A: Using relation of potential energy , torque and dipole moment we find

Q: Using the Biot-Savart law, find the magnetic field H at the center of a square loop conductor with…

A:

Q: Suppose another solenoid is to be designed to produce a uniform 1.350-T magnetic field near its…

A:

Q: A flatbed truck carries a 20-ft I-beam (perpendicular to the bed of the truck) north over a flat…

A: The length of the beam is  The velocity of the beam is same as the velocity of the truck  v = 29m/s…

Q: Assume that a positively charged partıcle moves in the positive x direction, as shown in the sketch,…

A: Answer            the positive z-direction

Q: Earth’s magnetic field approximates that of a dipole with a field of 6×10−5 T at the North Pole.…

A: Motional induced emf = Blv

Q: For an electric field of 2.5 × 10 V/m, what is the sırength of the magnetic field needed to pass an…

A: Given: The electric field is E=2.5X105 V/m. The velocity of the electron is v=2.2X106 m/s. Let e is…

Q: Suppose a straight 1.00 mm diameter coper wire could float horizontally in air because of the force…

A: d=1mm B= 5×10-5 T μ = 0.01kg/m

Q: Two N-turn circular Helmholtz coils are placed parallel to one another and separated by a distance…

A: Helmholtz coil consists of two identical magnetic coils  placed parallel to each other along a…

Q: Does the absolute value of the line integral of the magnetic field of the flat segment increase,…

A:

Q: The figure shows a wire segment of length As = 5,0 cm, centered at the origin, carrying current i =…

A: Given data: Length of segment ∆s=5.0 cm Current I = 5.4 A Given Bio-Savart relation for magnetic…

Q: Is the following True or False for the Gauss's Law for magnetic field? Since there are no magnetic…

A: Let the magnetic field = B Let the area of a closed loop = A

Q: A toroidal coil whose vertical cross-section is in the form of a rectangle, its height is 3 cm, its…

A: In this question we have to determine the magnetic flux density B at a point in the toroid. Please…

Q: The radius of the spiral tube is R, the length is L, the current of the wire is I, and the number of…

A: Consider an Amperean loop abcd as given below

Q: What must be the magnitude of a uniform electric field if it is to have the same energy density as…

A: The magnitude of a uniform electric field will be,

Q: The figure shows a wire segment of length As = 4.2 cm, centered at the origin, carrying o direction…

A: Given:- A wire segment of length ∆s=4.2 cm  The current in the positive y-direction = 2.3 A  The…

Q: a circular region in which a decreasing uniform magnetic field is directed out of the page, as well…

A: Here, magnetic field is decreasing uniformly. Let it be given by Magnetic flux is given by,

Q: Two infinetly long wires are laid in four different situations. Each wire is carrying a current I…

A:

Q: A long conductive and rigid straight wire, laid longitudinally horizontally, with length of 30 cm…

A: The magnetic force on a current carrying conductor placed in a magnetic field perpendicular to it is…

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.