28. Magnetic Fields and Forces

Magnetic Force on Current-Carrying Wire

Magnetic Force on a Current Carrying Wire

A straight, vertical wire carries a current of 2.60 A downward in a region between the poles of a large superconducting electromagnet, where the magnetic field has magnitude B = 0.588 T and is horizontal. What are the magnitude and direction of the magnetic force on a 1.00-cm section of the wire that is in this uniform magnetic field, if the magnetic field direction is (a) east?<img src="https://lightcat-files.s3.amazonaws.com/problem_images/c9864e2e5e371dd3-B.png" alt="" />

Anderson Video - Force on a Wire in a Magnetic Field

A straight, 2.5-m wire carries a typical household current of 1.5 A (in one direction) at a location where the earth’s magnetic field is 0.55 gauss from south to north. Find the magnitude and direction of the force that our planet’s magnetic field exerts on this wire if it is oriented so that the current in it is running (a) from west to east, (b) vertically upward, (c) from north to south. (d) Is the magnetic force ever large enough to cause significant effects under normal household conditions?<img src="https://lightcat-files.s3.amazonaws.com/problem_images/fbeb788afb6a0ad1-1672952243812.jpg" alt="" />

A 5-m current-carrying wire (red line) is ran through a 4 T magnetic field (blue lines), as shown. The angle shown is 30°. What must the magnitude and direction of the current in the wire be when it feels a 3 N force directed into the page?<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/49050c26"alt=""/>

Force on a Current Carrying Wire in a Magnetic field

A long wire carrying 4.50 A of current makes two 90° bends, as shown in Fig. E27.35 <img src="https://lightcat-files.s3.amazonaws.com/problem_images/4a622306039f3d3f-1673286175188.jpg" alt="" />. The bent part of the wire passes through a uniform 0.240-T magnetic field directed as shown in the figure and confined to a limited region of space. Find the magnitude and direction of the force that the magnetic field exerts on the wire.

Magnetic force on a current carrying wire | Physics | Khan Academy

Find Force on Current-Carrying Wire at an Angle

Suppose a certain type of wire has a length of <math display=“inline”><mrow><mrow><mn>25</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></mrow></math> and a mass of <math display=“inline”><mrow><mn>1</mn><mo>.</mo><mrow><mn>2</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">g</mi></mrow><mo>.</mo></mrow></math> At a point where earth’s magnetic field is parallel to its surface, how much current would have to flow in this wire for the magnetic force on it to equal its weight?

A thin, 50.0-cm-long metal bar with mass 750 g rests on, but is not attached to, two metallic supports in a uniform 0.450-T magnetic field, as shown in Fig. E27.37 . A battery and a 25.0-ohm resistor in series are connected to the supports. (a) What is the highest voltage the battery can have without breaking the circuit at the supports? (b) The battery voltage has the maximum value calculated in part (a). If the resistor suddenly gets partially short-circuited, decreasing its resistance to 2.00-ohm, find the initial acceleration of the bar.

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