5. Consider a current loop of radius a centered about the origin and lying in the...
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)...
A circular loop of wire, centered at the origin, lies in the xy plane. The loop has a radius of 10.0cm. A cylindrical magnet (radius 0.5 cm and length-5 cm) starts out at rest with its primary axis along the z-axis. The bottom tip of the magnet is a north-pole and is situated at z 8 cm. The magnet is dropped straight down so that it falls north- pole down and it goes straight through the center of the loop....
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...
3. Rectangular current loop A current I flows in a square current loop of wire placed on the ry plane and centered about the origin. The lengths of the two sides are a and b (a) Find the magnetic field at any location (0,0, z) on the z-axis. b) For z a, b, what does your expression simplify to? (e) Compare your answer to (b) with the on-axis field for a circular loop at distances much greater than the loop...
Rectangular current loop A current I flows in a square current loop of wire placed on the ry plane and centered about the origin. The lengths of the two sides are a and b (a) Find the magnetic field at any location (0,0, z) on the z-axis. (b) For za, b, what does your expression simplify to? (c) Compare your answer to (b) with the on-axis field for a circular loop at distances much greater than the loop radius.
Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. PartAWhat is the direction of the electric fieldat any point on the z axis?parallel to the x axisparallel to the y axisparallel to the z axisin a circle parallel to the xy planePartBWhat is the magnitude of the electric fieldalong the positive z axis?Use k in your answer, where .E(z) =PartCImagine a small metal ball of mass m and negative charge -q0. The ball is released...
7.3 1 A circular current filament lies in the xy plane with its center at the origin. The loop carries current / in the positive аф direction and is of radius a. Find H everywhere on the z axis. 7.3 1 A circular current filament lies in the xy plane with its center at the origin. The loop carries current / in the positive аф direction and is of radius a. Find H everywhere on the z axis.
Circular Current Loop Given: Radius = a , in the pz-plane (0 = 1/4) B = B. 2, pivot on p ī in the + ên direction (0 = 1/4) Find: Torque (T) exerted on the current loop Torque unit vector î in cylindrical coordinates Include derivation for: dĒ force differential vector moment arm vector dī torque differential vector torque vector
A circular loop of current-carrying wire with radius a is in the xy plane, the origin being at its center. Along which of the following lines can a charge move without experiencing a magnetic force? x = 0, y = a/2 x = a/2, y = a/2 x = a/2, y = 0 x = 0, y = 0 x = 0, z = 0
2. Consider the circle of radius 9 centered at the origin in the ry-plane. It can be described by the equation 2 +y2 81. The sphere of radius 9 centered at the origin can be created by rotating the curve y v81- about the a-axis. (a) The volume of the sphere can be calulated using a definite integral. Set up that definite integral, but do not solve it. (b) Complete the calculation of the integral. 2. Consider the circle of...