1. (15 pts) Given: You have an infinite length of wire on the x-axis. The current...
d at the origin and continues along the negative y axis. The current in the wire is (JA and flows in the positive x direction, then in the Consider a wire along the x axis and negative y direction. Calculate the magnitude of the magnetic field produced by the wire at the point (1.1). (Use Biot Savart law). The integra might be useful State your answer in terms of Ho i.e. set Ho 1 Answer The two wire parts contribute...
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...
Problem 3 (16 2 3 points): Static Magnetic Field: A wire carrying current lo runs from y = to theo along the y-axis and then from the origin to x along the x-axis. Use the Biot- Savart Law to determine the magnetic flux density at the point indicated in the figure. (хо.yo)
Problem 3 (16 2 3 points): Static Magnetic Field: A wire carrying current lo runs from y = to theo along the y-axis and then from the origin...
The diagram below shows a long wire with a right angle bend. A current of -3.25 A flows through the wire. Determine the magnetic field in unit vector notation) at the point which is a distance - 2.12 cm from the corner of the bend. (Assume that the+xaxis is directed to the right, they axis is directed up, and the +7 xs is toward you.) B-153.77 Can you find an expression for the result of applying the Biot Savat law...
Imagine that you have a metal wire bent into the shape of an equilateral triangle with side lengths of l. This triangle is carrying current, 1, in a direction clockwise around the triangle. Find the magnetic field (magnitude and direction) that the current produces at the center of the triangle. Hint: Use the Biot-Savart law to find the magnetic field for a finite straight wire. How does this help? -
Imagine that you have a metal wire bent into the shape of an equilateral triangle with side lengths of l. This triangle is carrying current, 1, in a direction clockwise around the triangle. Find the magnetic field (magnitude and direction) that the current produces at the center of the triangle. Hint: Use the Biot-Savart law to find the magnetic field for a finite straight wire. How does this help? -
Consider a wire along the x axis and has a 90 bend at the origin and continues along the negative y axis. The current in the wire is {i]A and flows in the positive x direction, then in the negative y direction. Calculate the magnitude of the magnetic field produced by the wire at the point (1,1). (Use Biot Savart law). The integral ∫ dx/(a2+x2)3/2 = x/(a2 (a2+x2)1/2) might be useful. State your answer in terms of μo, i.e. set...
3. Infinite conductor a) Consider a straight conductor (infinite length) which carries a total current I in the direc- tion of the z axis. Calculate the magnetic induction Ē(7) using the Biot-Savart law. Hint The current density is given by j = 1S(x)6(y)ë^ b) Explicitly check the result from the previous task by calculating the magnetic induction B(F) using the symmetry of the problem and applying Stoke's theorem onto Maxwell's equation of magnetostatics V x B = 407 c) Now,...
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...
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(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...