A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius R. The wire is in the plane of the screen and carries a current I.(a) What is the direction of the magnetic field at the center of the loop?O to the leftO to the rightO upwardOdownwardinto the screenO out of the screen.RB =Q(b) Find an expression for the magnitude of the magnetic field at the center of the loop. (Use the following as necessary: R, I, and μo. Do not substitute numerical values; use variables only.)10² 1 + π2πrXThink of the total magnetic field as the superposition of the field due to the long straight wire that due to the circular loop. Find the sum of these contributions.

From the Biot-Savart law, write the magnetic field at the center due to the straight wire. From the…

A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius R. The wire is in the plane of the screen and carries current I. (a) What is the direction of the magnetic field at the center of the loop? O to the left O to the right O upward O downward into the screen O out of the screen R (b) Find an expression for the magnitude of the magnetic field at the center of the loop. (Use the following as necessary: R, I, and μo. Do not substitute numerical values; use variables only.) Hol 1 + π 2πr B = X Think of the total magnetic field as the superposition of the field due to the long straight wire that due to the circular loop. Find the sum of these contributions.

A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius R. The wire is in the plane of the screen and carries current I. (a) What is the direction of the magnetic field at the center of the loop? O to the left O to the right O upward O downward into the screen O out of the screen R (b) Find an expression for the magnitude of the magnetic field at the center of the loop. (Use the following as necessary: R, I, and μo. Do not substitute numerical values; use variables only.) Hol 1 + π 2πr B = X Think of the total magnetic field as the superposition of the field due to the long straight wire that due to the circular loop. Find the sum of these contributions.

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)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius R. The wire is in the plane of the screen and carries a current I.
(a) What is the direction of the magnetic field at the center of the loop?
O to the left
O to the right
O upward
Odownward
into the screen
O out of the screen.
R
B =
Q
(b) Find an expression for the magnitude of the magnetic field at the center of the loop. (Use the following as necessary: R, I, and μo. Do not substitute numerical values; use variables only.)
10² 1 + π
2πr
X
Think of the total magnetic field as the superposition of the field due to the long straight wire that due to the circular loop. Find the sum of these contributions.

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