Problem 1 - Use the law of Biot and Savart to prove that the
magnitude of the
magnetic field at a perpendicular distance from the long (infinite)
staright wire
carriying a current i is given by:
Problem 1 - Use the law of Biot and Savart to prove that the magnitude of...
Using the law of Biot and Savart, prove that the magnetic field generated by a loop of radius a carrying a current I at a point on the axis of the loop at a distance from the centre is В 2(12 + а?)3/2 Hint: Consider a generic element of length dl. Use the law of Biot and Savart for this element. How is the magnetic field generated by this element oriented? Consider an opposite element of same length. How is...
Given a ring of current, I, and radius R (a) Use Biot-Savart Law to calculate the magnetic field on the z axis, (b) what is the force on a parallel wire current, I, a distance z above the ring?
Sources of Magnetic Fields: Law of Biot -Savart R 1. Determine the magnitude and direction of the magnetic field in the center (P) of the wire configuration with current of magnitude I according to the direction of the current shown R 2R 2 R 2R in the figure on the right. I
3. This question concerns the Biot-Savart law. (a) Give the meaning of each term in the equation and describe how the equation is used to calculate a magnetic field strength. (b) Consider a rectangular loop of wire; the long side is length a and the short side length b. Referring to the derivation of the field for an infinite wire obtain the field strength B for a single wire of finite length at a distance L from the centre of...
3. (a) Use Biot-Savart Law to find the magnetic field of wire, along the z-axis, carrying a current I (in direction), at a point P a distance r from the wire. Do this for both a finite wire (21 <2<z2), and an infinite wire (-0<z< too). (6) Use the result of part (a) to evaluate the net magnetic field of the wires shown at point P (0,0,2). [15] z P (0,0,2) 22 di 0 B (0,2,0) tec у P(x,y) A...
7. (4+6=10 pts) State Biot-Savart law and Ampere's law. Now use Ampere's law to answer following: A long, cylindrical wire (radius = 2.0 cm) carries a current of 40 A that is uniformly distributed (uniform current density) over a cross section of the wire. What is the magnitude of the magnetic field at a point which is 1.5 cm from the axis of the wire?
biot savart law Uu mportant: Always write all equations that are used to solve a problem. Show clearly what are the steps of the solving process and indicate the final answer. 1. A segment of a circular loop of wire carries a current I. which enters and leaves on straight segments of wire, which are along magnetic field at point C, assuming the angle between the straight segments equal to 72 degrees. a radial direction from the center of the...
(1 points) Question 9 (#283991) {Biot-Savart Law}/{Long Wire) A long, straight, current-carrying wire runs across the floor in a lab. At a distance of 0.25 meters from the wire, the magnetic field due to the wire is found to be 2.11 ; T and directed into the floor. What is the magnitude of the magnetic field at a distance of 0.75 meters from that same wire? Please enter a numerical answer below. Accepted formats are numbers or 'e' based scientific...
Circular Loops - CL-1 A circular wire of radius R carries a current I as shown to the right. dl2 to determine a) Use the Biot-Savart law dB the direction of dB1, the magnetic field produced at the origin by ring element dli shown on the figure. Draw a figure like the one given and show on your figure dh and the unit vector State the direction of dB1 in terms of the coordinate axes. b) Use the Biot-Savart law...
Problem 3 (5000) Biot-Savart Law: The law states that the magnetic field at a point P due to a length element ds carrying a steady current / located at i away is given by dR - Holds xi _4.1 ds xi 40 p² 403 Question: Derive the Biot-Savart Law by using the vector magnetic potential A (2000). Then, find B at the center of the loop which is an 8(cm) x 6(cm) rectangular conducting loop. The loop lies in the...