3. This question concerns the Biot-Savart law. (a) Give the meaning of each term in the...
question b 4. (a) State the Bio-Savart law. (1 mark) (b) Use the Bio-Savart law to calculate the magnetic field at a point, P, a distance r from a finite wire segment (see figure), of length 21, carrying a steady current I. Hence determine the magnetic field at the centre of a square loop, side-length 2L, carrying a steady current I. Р. (5 marks) -L 0 +L dx 1 You may need that 2 a2 3 (Vx2 + a2) a2...
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:
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...
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...
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...
please make sure to fill in the blanks (a) A conducting loop in the shape of a square of edge length l = 0.310 m carries a current I = 10.5 A as in the figure below. Calculate the magnitude and direction of the magnetic field at the center of the square. (b) If this conductor is reshaped to form a circular loop and carries the same current, what is the value of the magnetic field at the center? Part...
2. Briefly discuss the Biot Savart Law and give its mathematical expression. (5 Marks) a. b. An infinitely long straight conductor is present in a magnetic field B. The conductor carrying a current of I = 10 A, is placed in a sheath (M- 202 ). At what distance from the conductor will the magnetic field be 1T/m? Find the magnetic moment of a square loop of 500 turns in a field of uniform flux density 2.5mT. The loop carries...
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?
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...
Q5. (20 pts) Using the Biot-Savart law determine the magnetic field B of very long straight wire caring a current I