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Problem #2 Two semi-infinite line currents lie on the z-axis in the regions -ODZ S -a...
Problem #4 A line current on the z-axis carries a current of -8 mA in the...
Problem #4 A line current on the z-axis carries a current of -8 mA in the a2 direction, and current sheets of K1-0.5âz A/m and K2--0.2 âz A/m are located at ρ,-0.5 cm and ρ,-1.0 cm, respectively. All currents are of infinite extent in the z direction. Calculate the magnetic field intensity H at: a) ρ-0.5 cm b) ρ: 1.5 cm c) ρ- 4.0 cm
A uniform TEM plane wave in free-space (z < 0) is incident normally on a semi-...
A uniform TEM plane wave in free-space (z < 0) is incident normally on a semi- infinite non-magnetic dielectric region (z > 0). The total frequency-domain magnetic field intensity in free-space is given by: Ħ, = (4e-j242 + 2ej2nz)ây [A/m] The standing wave ratio in the dielectric region is: O 1.0 None of them 3.0 O 0.0 O 0.5
Two semi-infinite line charges are connected by a semicircular line charge of radius a=5a=5 cmcm....
Two semi-infinite line charges are connected by a semicircular
line charge of radius a=5a=5 cmcm. As shown in the figure, the two
semi-infinite line charges are placed in parallel with a distance
of 2a2a cmcm. Assume that charges are uniformly distributed with
ρL=2.6ρL=2.6 μC/mμC/m, find the electric field intensity at the
origin OO of the semicircular line charge.
2a By UBC Enqineerinc (1 point) Two semi-infinite line charges are connected by a semicircular line charge of radius a -5cm. As...
7. Two wires lie in the z direction, spaced some distance apart. Each wire carries a...
7. Two wires lie in the z direction, spaced some distance apart. Each wire carries a current a) Make a sketch of the magnetic field lines that result from the wires in two cases: one in which the currents are traveling in the same direction, and one in which the currents are traveling in opposite directions. b) Describe the effect that each wire will have on the other
7. Two wires lie in the z direction, spaced some distance apart....
Show that the semi-infinite plate problem if the bottom edge of width 30 is held at...
Show that the semi-infinite plate problem if the bottom edge of width 30 is held at X 0<x. 15 T 130 - 15<x<30 And the other sides are at 0°C Hint: T(x,y) - Ceny/t sin max
5.22 A long cylindrical conductor whose axis is coincident with the z axis has a radius...
5.22 A long cylindrical conductor whose axis is coincident with the z axis has a radius a and carries a current characterized by a current density J żJo/r, where Jo is a constant and r is the radial distance from the cylinder's axis. Obtain an expression for the magnetic field H for (a) 0<r Sa (b) r > a
8.7. A conducting strip of infinite length lies in the xy plane with its length oriented...
8.7. A conducting strip of infinite length lies in the xy plane with its length oriented along the x axis, and where – b/2<y<b/2 defines its width along y. Current I flows down the strip in the positive x direction and is uniformly distributed over the width. Above the strip and parallel to it at z=d is an infinitely long current filament that carries current I in the positive x direction. Find the force of attraction between the two currents...
An infinite solid cylinder conductor of radius a = 3cm centered on the z-axis carries a...
An infinite solid cylinder conductor of radius a = 3cm centered
on the z-axis carries a current I1 = 1A. The current is evenly
distributed along the cross section and is directed out of the
screen (positive z-axis direction). An infinite coaxial conductive
surface of radius b = 8 cm carries a current I2 = 4A, towards the
inside of the screen (negative direction z).
What is the magnitude of the magnetic field B inside the inner
cylinder at a...
3. (Biot-Savart for currents) A lightning bolt carries current I straight down toward the ground. You...
3. (Biot-Savart for currents) A lightning bolt carries current I straight down toward the ground. You are standing a distance d away from the impact point along the +y axis. If the bolt originates at a height z h and terminates on the ground at z 0, (a) find a formula for the magnitude of the magnetic field you experience, and give its direction. [ Hint: this is almost the same as a derivation we did in class.] (b) Simplify...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below...
Two parallel long (infinite for our purposes) wires are oriented
along the z-axis. The figure below shows the
(xy)-plane perpendicular to the wires, including
the positions where the wires cross this plane. The wires carry
some unknown electric currents I1 and
I2, which you need to find from a
single measurement of the magnetic field
B=Bxi
+
Byj
at point A, whose position in the plane is also indicated. We will
treat the currents algebraically: the current I
is positive...
Problem #4 A line current on the z-axis carries a current of -8 mA in the a2 direction, and current sheets of K1-0.5âz A/m and K2--0.2 âz A/m are located at ρ,-0.5 cm and ρ,-1.0 cm, respectively. All currents are of infinite extent in the z direction. Calculate the magnetic field intensity H at: a) ρ-0.5 cm b) ρ: 1.5 cm c) ρ- 4.0 cm
A uniform TEM plane wave in free-space (z < 0) is incident normally on a semi- infinite non-magnetic dielectric region (z > 0). The total frequency-domain magnetic field intensity in free-space is given by: Ħ, = (4e-j242 + 2ej2nz)ây [A/m] The standing wave ratio in the dielectric region is: O 1.0 None of them 3.0 O 0.0 O 0.5
Two semi-infinite line charges are connected by a semicircular
line charge of radius a=5a=5 cmcm. As shown in the figure, the two
semi-infinite line charges are placed in parallel with a distance
of 2a2a cmcm. Assume that charges are uniformly distributed with
ρL=2.6ρL=2.6 μC/mμC/m, find the electric field intensity at the
origin OO of the semicircular line charge.
2a By UBC Enqineerinc (1 point) Two semi-infinite line charges are connected by a semicircular line charge of radius a -5cm. As...
7. Two wires lie in the z direction, spaced some distance apart. Each wire carries a current a) Make a sketch of the magnetic field lines that result from the wires in two cases: one in which the currents are traveling in the same direction, and one in which the currents are traveling in opposite directions. b) Describe the effect that each wire will have on the other
7. Two wires lie in the z direction, spaced some distance apart....
Show that the semi-infinite plate problem if the bottom edge of width 30 is held at X 0<x. 15 T 130 - 15<x<30 And the other sides are at 0°C Hint: T(x,y) - Ceny/t sin max
5.22 A long cylindrical conductor whose axis is coincident with the z axis has a radius a and carries a current characterized by a current density J żJo/r, where Jo is a constant and r is the radial distance from the cylinder's axis. Obtain an expression for the magnetic field H for (a) 0<r Sa (b) r > a
8.7. A conducting strip of infinite length lies in the xy plane with its length oriented along the x axis, and where – b/2<y<b/2 defines its width along y. Current I flows down the strip in the positive x direction and is uniformly distributed over the width. Above the strip and parallel to it at z=d is an infinitely long current filament that carries current I in the positive x direction. Find the force of attraction between the two currents...
An infinite solid cylinder conductor of radius a = 3cm centered
on the z-axis carries a current I1 = 1A. The current is evenly
distributed along the cross section and is directed out of the
screen (positive z-axis direction). An infinite coaxial conductive
surface of radius b = 8 cm carries a current I2 = 4A, towards the
inside of the screen (negative direction z).
What is the magnitude of the magnetic field B inside the inner
cylinder at a...
3. (Biot-Savart for currents) A lightning bolt carries current I straight down toward the ground. You are standing a distance d away from the impact point along the +y axis. If the bolt originates at a height z h and terminates on the ground at z 0, (a) find a formula for the magnitude of the magnetic field you experience, and give its direction. [ Hint: this is almost the same as a derivation we did in class.] (b) Simplify...
Two parallel long (infinite for our purposes) wires are oriented
along the z-axis. The figure below shows the
(xy)-plane perpendicular to the wires, including
the positions where the wires cross this plane. The wires carry
some unknown electric currents I1 and
I2, which you need to find from a
single measurement of the magnetic field
B=Bxi
+
Byj
at point A, whose position in the plane is also indicated. We will
treat the currents algebraically: the current I
is positive...
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