1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Semmy [17]
3 years ago
10

A wire 25.0cm long lies along the z-axis and carries a current of 9.00A in the positive +z-direction. The magnetic field is unif

orm and has components Bx=-0.242T, By=-0.985T and Bz=-0.336T. Find the components of the magnetic force on the wire?
b) What is the magnitude of the net magnetic force on the wire?​
Physics
1 answer:
marysya [2.9K]3 years ago
5 0

The expression of the magnetic force and solving the determinant allows to shorten the result for the value of the magnetic force are:

  • In Cartesian form  F = 2.46 i ^ - 0.605 j ^
  • In the form of magnitude and direction F = 2.53 N and θ = 346.2º

Given parameters.

  • Length of the wire on the z axis is: L = 25.0 cm = 0.25 m.
  • The current i = 9.00 A in the positive direction of the z axis.
  • The magnetic field B = (-0.242 i ^ - 0.985 j ^ -0.336 k ^ ) T

To find.

  • Magnetic force.

The magnetic force on a wire carrying a current is the vector product of the direction of the current and the magnetic field.

          F = i L x B

Where the bold letters indicate vectors, F is the force, i the current, L a vector pointing in the direction of the current and B the magnetic field.

The best way to find the force is to solve the determinant, in general, a vector (L) is written in the form of the module times a <em>unit vector</em>.

         F= i |L| \left[\begin{array}{ccc}i&j&k\\L_x&L_y&L_z\\B_x&B_y&B_z\end{array}\right]  

Let's calculate.

       F= 9.00  \ 0.25 \ \left[\begin{array}{ccc}i&j&k\\0&0&1\\-0.242&-0.985&-0.336\end{array}\right]  

       F = 2.26 \ ( - 1 B_y i  \   + 1 B_x j  \ )  

       F = 2.5 (0.985 i ^ - 0.242 j ^)

       F = ( 2.46 i ^ - 0.605 j^ ) N

To find the magnitude we use the Pythagorean theorem.

        F = \sqrt{F_x^2 + F_y^2}  

        F = \sqrt{2.46^2 + 0.605^2}  

        F = 2.53 N

Let's use trigonometry for the direction.

        Tan θ ’= \frac{F_y}{F_x}  

        θ'= tan⁻¹ \frac{F_y}{F_x}  

        θ'= tan⁻¹1 (\frac{-.605}{2.46} )

        θ’= -13.8º

To measure this angle from the positive side of the x-axis counterclockwise.

        θ = 360- θ'

        θ = 360 - 13.8

        θ = 346.2º

In conclusion using the expression of the magnetic force and solving the determinant we can shorten the result for the value of the force are:

  • In Cartesian form    F = 2.46 i ^ - 0.605 j ^
  • In the form of magnitude and direction  F = 2.53 N and θ = 346.2º

Learn more here:  brainly.com/question/2630590

You might be interested in
WILL UPVOTE 5 TIMES IF YOU ANSWER!!
Nostrana [21]
The answer is astrology
6 0
3 years ago
Where is our solar system located in the Milky Way?      
SSSSS [86.1K]
Our solar system is located in the outer reaches of the Milky Way Galaxy, which is a spiral galaxy .
7 0
3 years ago
Uncle Harry weighs 80 newtons. What is his mass in<br> kilograms?
Readme [11.4K]

Answer:

8.158 Kilograms Force

Explanation:

5 0
2 years ago
Read 2 more answers
Most geologists think that the movement of Earth's plates is cause by 
kramer
<span>c) convection currents in the mantle </span>
5 0
3 years ago
Read 2 more answers
Which two staments explain how a cell's parts help it get nutrients
Goryan [66]

Answer:

I think it's A and D.

6 0
2 years ago
Other questions:
  • A beam of light shining from water to air strikes the surface at an angle greater than 48° and produces total internal reflectio
    15·1 answer
  • Isaac Newton’s investigations of gravity explained which of the following?
    13·2 answers
  • An astronaut of mass 65kg in training rides in a seat that is moved in uniform circular motion by a radial arm 5.10 meters long.
    11·1 answer
  • Suppose a soup can is made from a sheet of steel19 which is .13 mm thick. If the can is 11 cm high and 6 cm in diameter, use dif
    5·1 answer
  • Gravity can be described as
    12·1 answer
  • When a monochromatic light of wavelength 433 nm incident on a double slit of slit separation 6 µm, there are 5 interference frin
    14·1 answer
  • if a force of 50N is used to pull a box along the ground, at a distance of 8m. The box moves in the same direction as the force.
    11·1 answer
  • Which phenomenon supports the particle model of light?
    10·2 answers
  • A car drives 16 miles south and then 12 miles west. What is the magnitude of the car's displacement?
    6·2 answers
  • give an example of how the law of inertia is demonstrated (a) for moving objects and (b) for objects at rest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!