2. Three quarter-circular wires, with the same radius a, are connected as seen in the figure....
Assuming a current I in a semi-circular wire with radius a. What is the magnetic flux density on a point at the center of the semi-circle and above the semi-circle plane by a distance d. Also find the magnetic flux density if the circle is full. 4. Assuming a current I in a semi-circular wire with radius a. What is the magnetic flux density on a point at the center of the semi-circle and above the semi-circle plane by a...
As in the figure, current I flows through a circular conductive cross section with radius b. Find the magnetic flux density(B) it creates at point P, which is at a distance z in the direction perpendicular to the plane where it is located. P(0,0,2) b
Two long straight wires carrying a conventional current I are connected by a three-quarter-circular arc of radius R. An electron is moving to the right with a speed of v as it passes through the center C of the arc, and at that instant Lorentz force on the electron is zero. a )What is the direction of the net magnetic field at the center of the arc? b)What is the direction of the magnetic force on the electron? c)If an...
To make an electric motor, you create a circular loop of wire with radius 0.0100 m. You also have a magnet that can produce a relatively uniform magnetic field of strength 0.30 T 2. a. At a certain point, the magnetic flux through the loop is 2.00 x 10- T.m2; what is the angle between the plane of the loop and the field? (Note: the angle is zero if the loop is oriented like figure P27.21 in Practice, p. 495.)...
Two circular loops of wires with radius R_1 and R_2 lay in the same plane. For the case where R_1 is much greater than R_2 you can treat the magnetic field through loop 2 as being generated by the magnetic field at the center of loop 1 given by: B = mu_0 1/2 pir R_1 A) Calculate the algebraic expression for the mutual inductance between the two loops. B) If the current through loop 1 is increasing at 2 Amps/second,...
Problem 2 A wire is bent into a quarter-circle of radius R. It is lies in Quadrant 2 of the xy plane with its center at the origin. The wire carries a charge density 0. Final answers not given (a) Derive an expression for E, at the origin (b) Derive an expression for E, at the origin. (c) Find the magnitude and direction of the net electric field at the origin
Given a circular disk of charge with surface charge density ρs and radius a in the xy plane with the center located at the origin, see figure. Find the vector electric field at a point P (0,0,h) induced by the circular disk. Evaluate the vector electric field at P when a→∞
5. Three Parallel Wires Consider three co-planar equally-spaced (by distance d) parallel wires of negligible radius. Each wire carries current I, all in the same direction. (a) Where does the magnetic field vanish? (b) Sketch the magnetic field lines in the plane perpendicular to the current flow. (c) Suppose you displace the middle wire a small distance δ in a direction perpendicular to the plane containing the wires and then release it. Analyze and describe the resulting motion of the...
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...
Problem 3.28 A circular ring in the xy plane (radius R, centered at the origin) carries a uniform line charge λ. Find the first three terms (n-0, 1, 2) in the multipole expansion for V(r, θ).