A charge of -5.02 \muC is traveling at a speed of 8.86 \times 10^6 m/s in a region of space where...

Question:

A charge of -5.02 {eq}\mu {/eq}C is traveling at a speed of {eq}8.86 \times 10^6 {/eq} m/s in a region of space where there is a magnetic field. The angle between the velocity of the charge and the field is {eq}54.6^{\circ} {/eq}. A force of magnitude {eq}7.85 \times 10^{-3} {/eq} N acts on the charge. What is the magnitude of the magnetic field?

Magnetic Force:

The magnetic force applied is perpendicular to the plane defined by the velocity of the electric charge and the magnetic field. The magnetic force changes the direction of the velocity of the electric charge but can neither increase nor decrease its speed.

Answer and Explanation:

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Given data

  • The value of the electric charge is: {eq}Q = - 5.02\;{\rm{\mu C = - 5}}{\rm{.02}} \times {\rm{1}}{{\rm{0}}^{ - 6}}\;{\rm{C}} {/eq} .
  • Th...

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Magnetic Forces & Fields Practice Problems

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Chapter 18 / Lesson 7
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Magnetism and electricity are closely related. When current flows in a wire, a magnetic field is generated. In this lesson, we will explore how magnetic fields can exert forces on parallel current-carrying wires.


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