A surface density exists on the hemispherical surface of the radius b shown in the figure....
Q- 1) As shown in the figure, there exists a non -uniform surface current density given as eosin over S Ampere/meter elsewhere In vacuum where Jo is a constant. a) Compute the magnetic vector potential A at the 0 S' origin O. Hilt. А_fs10..-ds' S'Ir-rl b) Compute the magnetic flux density vector B at the origin O. Hint: Biot Savart Law Figure 1. The geometry of the problem
Q- 1) As shown in the figure, there exists a non -uniform...
magnetic flux
As shown in the figure, there are semiconductors with a
cross-section of width w [m] and thickness t [m].
I [A] current is flowing in this semiconductor. However, the
electron density per unit volume is N [m-3].
When a magnetic field of magnetic flux density B [T] exists in this
space in the direction shown in the figure, an electromotive force
is generated in the direction of the semiconductor. Find its
direction and size
В W
about the olgin that has Tadius < InetelS. 3.2 The surface charge density throughout the z = 0 plane is ps-1/plc/m2], where p is specified in meters. Find the total charge Q that is contained in a circulai disk of radius 1.0 [m] that is centered about the origin in the same plane. 3.3 The current density in a region is J = xy [A/m2], where x and y are specified in meters. Find the current I flowing towards increasing...
Flex question A hemispherical close surface of radius R is placed in a uniform field of magni- tude E. i)What would be the flux through the entire closed surface? ii)What is the flux through the dome of the hemisphere? Select one: a. i), ii) ERR b. i), ii) c. i)2ER2, ii) d. i)ETR, ii) e. i)-ErR2, ii)0 f. i)2E+R2, ii)ErR g. 100, ii)-ETR2 Next
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A cylindrical conductor has inner radius 'a and outer radius 'b'. conductor is I, distributed so that the current per unit cross- sectional area is constant. Find the magnetic flux density at any radius r, where a<r<b, in terms of I, r, a, b. The total current in the 1172 (a) (b) Suppose that the current density in (a) above is not uniform but (Amp/m2), where k is a constant. Find the flux varies as J-k density at any...
2. Hemispherical Bowl An inverted hemispherical bowl of radius R carries a uniform surface charge density σ. Find the potential difference between the "north" pole and the center.
Consider the hemispherical closed surface in the figure below. The hemisphere is in a uniform magnetic field that makes an angle θ with the vertical S2 (a) Calculate the magnetic flux (ФВ) through the flat surface S1. (Use any variable or symbol stated above along with the following as necessary: T.) (b) Calculate the magnetic flux (4B) through the hemispherical surface S2. (Use any variable or symbol stated above along with the following as necessary: π.) 8
A sphere of radius R is centered at the origin. A constant magnetic field of magnitude B is in the +k direction. What is the value of the magnetic flux that passes through the hemispherical surface that has z<0? (This is the half of the surface of the sphere in the region z<0.) Define the flux to be positive if it points from the inside of the sphere to the outside. a) 2 B b) -2B c) - TPB d)...
A uniform magnetic field with B = 10 i [T] passes through a hemispherical shell oriented with the radius vector representing the axis of symmetry given by r= 4 i+ 5 j [m]. Calculate the magnetic flux passing through the hemispherical shell
As shown in the figure, a long, hollow, conducting cylinder of
inner radius a and outer radius b carries a
current that is flowing out of the page. Suppose that a =
4.13 cm, b = 7.83 cm, and the current i = 273 mA,
uniformly distributed over the cylinder wall (between a
and b). Find the magnitude of the magnetic field at each
of the following distances r from the center of the
cylinder:
As shown in the figure,...