*** 13. In the magnetic field of a star, a proton moves at a speed of 5 x 10° m/s at an angle esnearly 37° to the star's magnetic field lines, as shown, giving it velocity components 4 × 106 malong the magnetic field and 3 x 10° m/s perpendicular to the magnetic field. The magnetic fielastrength of the star is exactly 10-3 T. In a plane perpendicular to the field, the magnetic field willcurve the motion into a circle (see the note above). In the direction parallel to the field, the veloaity will be constant.a) Find the radius of the circular motion in the plane perpendicular to the field. 8b) Find the time it will take the proton to go around one complete circle in the planeperpendicular to the B-field.bre bosqa igidc) In the time it takes for a complete circle in the perpendicular plane, how far in theparallel direction will the proton travel?d) The 3-D geometric shape in which an object moves in a circle where the center of thecircle moves perpendicular to the plane of the circle is called a helix. The pitch of a helixis defined as the ratio of the distance the circle center moves to the radius of the circle.What is the pitch of this helix?

Recall F=qvBwhere V is perpendicular component of velocity. And qVB=mv^2/R using this we have.

*** 13. In the magnetic field of a star, a proton moves at a speed of 5 x 10° m/s at an angle of nearly 37° to the star's magnetic field lines, as shown, giving it velocity components 4 × 106 m/e along the magnetic field and 3 x 10° m/s perpendicular to the magnetic field. The magnetic fiela strength of the star is exactly 10-3 T. In a plane perpendicular to the field, the magnetic field will curve the motion into a circle (see the note above). In the direction parallel to the field, the veloc ity will be constant. a) Find the radius of the circular motion in the plane perpendicular to the field. b) Find the time it will take the proton to go around one complete circle in the plane perpendicular to the B-field. c) In the time it takes for a complete circle in the perpendicular plane, how far in the parallel direction will the proton travel? d) The 3-D geometric shape in which an object moves in a circle where the center of the circle moves perpendicular to the plane of the circle is called a helix. The pitch of a helix is defined as the ratio of the distance the circle center moves to the radius of the circle. What is the pitch of this helix?

*** 13. In the magnetic field of a star, a proton moves at a speed of 5 x 10° m/s at an angle of nearly 37° to the star's magnetic field lines, as shown, giving it velocity components 4 × 106 m/e along the magnetic field and 3 x 10° m/s perpendicular to the magnetic field. The magnetic fiela strength of the star is exactly 10-3 T. In a plane perpendicular to the field, the magnetic field will curve the motion into a circle (see the note above). In the direction parallel to the field, the veloc ity will be constant. a) Find the radius of the circular motion in the plane perpendicular to the field. b) Find the time it will take the proton to go around one complete circle in the plane perpendicular to the B-field. c) In the time it takes for a complete circle in the perpendicular plane, how far in the parallel direction will the proton travel? d) The 3-D geometric shape in which an object moves in a circle where the center of the circle moves perpendicular to the plane of the circle is called a helix. The pitch of a helix is defined as the ratio of the distance the circle center moves to the radius of the circle. What is the pitch of this helix?

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

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*** 13. In the magnetic field of a star, a proton moves at a speed of 5 x 10° m/s at an angle es
nearly 37° to the star's magnetic field lines, as shown, giving it velocity components 4 × 106 m
along the magnetic field and 3 x 10° m/s perpendicular to the magnetic field. The magnetic fiela
strength of the star is exactly 10-3 T. In a plane perpendicular to the field, the magnetic field will
curve the motion into a circle (see the note above). In the direction parallel to the field, the veloa
ity will be constant.
a) Find the radius of the circular motion in the plane perpendicular to the field. 8
b) Find the time it will take the proton to go around one complete circle in the plane
perpendicular to the B-field.
bre bosqa igid
c) In the time it takes for a complete circle in the perpendicular plane, how far in the
parallel direction will the proton travel?
d) The 3-D geometric shape in which an object moves in a circle where the center of the
circle moves perpendicular to the plane of the circle is called a helix. The pitch of a helix
is defined as the ratio of the distance the circle center moves to the radius of the circle.
What is the pitch of this helix?

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