Consider a thin current-carrying wire as shown in the figure on the left. The wire carries a current of 2 mA and consists of a circular part of radius 0.4 cm and a sweeping angle of 45º, and two straight portions extending to infinity in the radial direction of the circular part. (a)Using Biot-Savart law, derive an equation for the magnitude B of the magnetic field at the center of its circular portion (i.e. at point P) in terms of the known quantities of the problem and indicate its direction. (b) Then, use this formula to find a numerical result for B.

Consider a thin current-carrying wire as shown in the figure on the left. The wire carries a current of 2 mA and consists of a circular part of radius 0.4 cm and a sweeping angle of 45º, and two straight portions extending to infinity in the radial direction of the circular part. (a)Using Biot-Savart law, derive an equation for the magnitude B of the magnetic field at the center of its circular portion (i.e. at point P) in terms of the known quantities of the problem and indicate its direction. (b) Then, use this formula to find a numerical result for B.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Three long, straight wires are seen end-on in the figure below. The distance between the wires is r = 0.252 m. Wires A and B carry current IA = IB = 1.66 A, and wire C carries current Ic = 3.46 A. Assume (for example) the only forces exerted on wire A are due to wires B and C. Find the force per unit length exerted on the following. (Express your answers in vector form.) (a) wire A FA = B (b) wire B fB = IB A Ic c N/m N/m X
please answer d only
You are facing a loop of wire which carries a clockwise current of 3.0A and which surrounds an area of 600 cm2. Determine the torque (magnitude and direction) if the flux density of 2 T is parallel to the wire directed towards the top of this page.
A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. (a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: Ho:) %3D (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf (in V) that is induced in the loop if b = 12.0 A/s, h = 1.00 cm, w = 15.0 cm, and L = 1.35 m. V (c) What is the direction of the induced current in the rectangle? O clockwise O counterclockwise O The magnitude is zero. = 1.00 cm toward the bottom of the figure at a What If? Suppose a constant current of I = 6.00 A flows in the straight wire and the loop moves from an initial position h. constant speed of v = 16.0 cm/s. (d) What is the magnitude of the induced emf (in V) in the loop 1.00 s after it begins to move? V (e) What is the direction of the…
The current-carrying wire loop in the figure on the left lies all in one plane and consists of a semicircle of radius 18 cm, a smaller semicircle with the same center, and two radial lengths. The smaller semicircle is rotated out of that plane by angle θ, until it is perpendicular to the plane. The figure on the right gives the magnitude of the net magnetic field at the center of curvature versus angle θ. The vertical scale is set by Ba = 25.620 μT and Bb = 35.444 μT. What is the radius of the smaller semicircle?
An electron and a proton, both with the same initial velocity, v, enter a region with a uniform magnetic field B out of the page, as shown. Each one undergoes semi-circular motion in the field and exits the field some distance d from the entry point. (The diagram shows the path for just one of the two particles.) Consider the following two statements and decide if they are true or false. i) The particle shown in the picture must be the negative one (the electron). ii) The distance "d" for the proton will be greater than "d " for the electron. В d. (shot with same v) i is true, but ii is false Both i and ii are false i is false, but ii is true Both i and ii are true
PLEASE be clear in your answer since the last time I posted was incorrect, thanks.
Three long, straight wires are seen end-on in the figure below. The distance between the wires is r = 0.258 m. Wires A and B carry current IA = IB = 1.54 A, and wire C carries current IC = 3.42 A. Assume (for example) the only forces exerted on wire A are due to wires B and C. Find the force per unit length exerted on the following. (Express your answers in vector form.) (a) wire A fA = N/m (b) wire B fB = N/m
Three long, straight wires are seen end-on in the figure below. The distance between the wires is r= 0.254 m. Wires A and B carry current IA = IB = 1.51 A, and wire C carries current Ic = 3.30 A. Assume (for example) the only forces exerted on wire A are due to wires B and C. Find the force per unit length exerted on the following. (Express your answers vector form.) B (a) wire A (b) wire B IB TA N/m N/m Ic X