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Given this magnetic field graph produced by two loops perpendicular to each other, how would you find the correct region/width where the field is going to be 0 from the top of the graph? How would you go about finding it?
Given that x=z/R where z is the distance from the center of a loop and R is the radius of the loop
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- A loop of wire is perpendicular to a magnetic field. The magnetic field strength as a function of timeis given by the top graph. Draw a graph of the current in the loop as a function of time. Let apositive current represent a current that comes out of the top of the loop and enters the bottom of theloop. There are no numbers for the vertical axis, but your graph should have the correct shape andproportions.The two insulated wires in the diagram above cross at a 30° angle but do not make electrical contact. Each wire carries 7.01 A current. Point 1 is 5.27 cm from the intersection and equally distant from both wires. What is the magnitude of the magnetic field (in T) at point 1?A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = 2br, where b is a constant? Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: ?0, r1, r2, b, R.) (a) r1 < R (b) r2 > R
- An infinitely long, straight, cylindrical wire of radius R has a uniform current density J = Jî in cylindrical coordinates. What is the magnitude of the magnetic field at some point inside the wire at a distance r; < R from the wire's central Cross-sectional view axis? Express your answer in terms of R, r;, µo, and J. J B = Side view Assuming J is positive, what is the direction of the magnetic field at some point inside the wire? O positive z-direction negative z-direction positive r-direction negative r-direction positive p-direction negative p-directionIn the figure below, point P is at a perpendicular distance a = 13 cm from one end of a straight wire of length L = 15 cm carrying current I = 6 A. (Note that the wire is not long, or infinite.) What are the magnitude and direction of the magnetic field at P? For direction, you can say into or out of the page.Let x=0 be the beginning of the magnetic field. Express the area (A), and express vw in terms of the area. Then what is vBw in terms of magnetic flux? The magnetic force on the conducting charges is an EMF, an electromotive force. Use these to derive the following expression for the EMF: Please see attachments for details on question and diagram.
- A circular closed, conducting loop of radius r is in the presence of a uniform magnetic field that points into the page, shown in the figure below. The strength of the magnetic field changes as a function of time, which is described by the following expression: B(t) = B1t? + Bo. You may assume that B1 and Bo are both positive numbers. The direction of the magnetic field stays constant. The total resistance of the conducting loop is R. Use this information to solve parts (a) - (d). Write your answers in terms of known quantities such as: r, R, B1, Bo, and t. B(t) = B,t? + Bo %3D R r (a) Write an expression for the magnetic flux through the loop, assuming that the area vector of the loop points out of the page. Is the flux increasing or decreasing over time? (b) Determine the magnitude of the induced electromotive force driven through the loop. (c) Determine the magnitude of the induced current driven through the loop. (d) In which direction does the induced current flow (clockwise or…Figure 6 shows a device known as a Helmholtz coil, formed by two circular coaxial coils of radius R = 25.0 cm, with 200 turns separated by a distance s = R. The two coils carry equal current I = 12.2 mA in the same sense. Determine the magnitude of the magnetic field at point P, located on the axis of coils halfway between them.A piece of wire carrying a current of 2.5 A is bent into a quarter circle arc of radius 15 cm as shown below. Determine the direction of the magnetic field at point P. The answer for the direction is one of the symbols in the second picture, options a through d.
- A current i = 2.0 A flows in a long straight wire and in a circular loop as indicated in the figure below. If the distance a = 3.0 cm, what is the magnitude of the magnetic field at point P at the center of the loop? Express your answer to the nearest µT.In each of the figures below, a uniform magnetic field B points in the +x-direction. The magnitude of the field is 1.50 T. In each figure, a square loop, shown edge-on, with sides of length l = 0.255 m, is oriented within the magnetic field as shown. In the left figure, the loop is oriented vertically, perpendicular to the magnetic field. In the middle figure, it is tilted such that the plane of the loop makes a 60.0° angle with the magnetic field. In the right figure, the loop is oriented horizontally, parallel to the magnetic field. y 60.0° What is the magnetic flux (in Wb) through the loop in each of the three cases shown? (a) perpendicular to the magnetic field Wb (b) 60.0° from the magnetic field Wb (c) parallel to the magnetic field WbThe figure below shows the end view of four long parallel wires (labeled 1 through 4) each with a current of 8.40 A arranged in a square with sides of length 0.380 m. The current direction is out of the page for wires 1 and 2 and into the page for wires 3 and 4. Write a vector expression for the magnetic field at the point P which is at the center of the square.