An elliptical loop of axes of length a and b, centered
at origin and lying in the y − z plane carries current
I. The major axis of the ellipse is the ˆy.
1. What component of A is non-zero in the x − y plane?
[A qualitative argument will sufce]
2. Find an expression for B in terms of th non-zero components of
A.
3. What is the direction of B along i) the positive x axis and ii)
the positive y axis.
A and B are vector quantities.
An elliptical loop of axes of length a and b, centered at origin and lying in the y − z plane car...
5. Consider a current loop of radius a centered about the origin and lying in the xy plane: IZ 1:01 a) Evaluate the vector potential à at the location (0,0,z) (here the coordinates are Cartesian). b) Evaluate the vector î component of the vector potential at the location (s,0,0) (here the coordinates are Cartesian).
A rectangular loop of wire has a length 2a in the x direction and a width 2b in the y direction. The loop lies in the z = 0 plane and is centered at the origin. Assuming that the loop carries a current of I Amps counterclockwise, as viewed from the positive z axis, find the magnetic field vector H at the center of the loop. Hint: Consider how the contributions from opposite sides of the rectangle compare, to save...
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The 5th page of lecture 24: 2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
2. A thin ring of radius R in the x - y plane is centered at the coordinate origin, and is charged with linear charge density λ which depends* on the polar angle θ as (9) λο sin(0), where 0 > 0, and θ . (a) Plot λ(0) for θ [0.2n]. (b) Before doing any calculations, sketch the electric field vector vector at the coor- - 0 is on the positive r-axis dinate origin in the direction you expect it...
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As shown in the figure, a rectangular loop with a length of 20.0 cm and a width w of 15.0 cm has 20 turns and carries a current of 0.130 A counterclockwise around the loop when viewed from the positive x axis. A horizontal (parallel to the x-z plane) magnetic field of magnitude 0.0510 T is oriented at an angle of 65.0° relative to the perpendicular to the loop (the positive x axis). (Assume the length and width are measured...
A man wishes to spin a merry-go-round in the x–y plane centered at the origin (0.000,0.000,0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u=(?1/3)i+(2/3)j+(2/3)k. He pulls with a force F = 61.0 lb from point A [(3.00,4.00,0.000) ft]. What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin?
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A rectangular loop of wire with sides H = 23 cm and W = 78 cm is located in a region containing a constant magnetic field B = 1.34 T that is aligned with the positive y-axis as shown. The loop carries current I = 227 mA. The plane of the loop is inclined at an angle θ = 21° with respect to the x-axis. 1) What is μx, the x-component of the magnetic moment vector of the loop? 2) What is...