Purchase Solution

Determining an expression for the magnitude and direction of a magnetic field

Not what you're looking for?

Ask Custom Question

Please show all the work.

Problem #1: A closed section of a wire in the shape shown in bold in the figure (attached) carries a uniform current I counterclockwise. This section of wire lies completely in the plane of the paper.

The figure consists of three-quarters of a circle of radius R and two straight lines, both of length R. Determine an expression for the magnitude and direction of the magnetic field at the point P (small circle) indicated in the figure.

Your final answer should be in terms of just mu0, I and R.

Problem #2: Three long wires carry currents I1, I2 and I3 with I1 coming perpendicularly out of the page through the point (-a,0), I2 going perpendicularly into the page through the point (0,0), and I3 coming perpendicularly out of the page through the point (+a,0). A fourth long wire carries a current I and passes perpendicularly through the page at the point (+a,+b). If I2 = 50 A, a = 3 m and b = 4 m, determine I1 and I3 so that the total magnetostatic force on I due to I1, I2 and I3 is zero.

Attachments
Purchase this Solution
Solution Summary

An expressions for the magnitudes and direction of a magnetic fields.

Solution Preview

Please refer to the attachment.
Solution #1:

B

O R C
R 45O I
45O
A D
Net magnetic field at the centre O is the vector sum of the magnetic fields due to three sections viz. ¾ circle CBA of radius R, straight wires AD and DC. We determine below the magnetic field vectors due to each of these sections.
Magnetic field due to CBA
Magnetic field due to a current carrying loop of radius R at its centre is given by: B = μoI/2R
Magnetic field at O due to ¾ of the circular loop is given by: BCBA = ¾ x (μoI/2R) = 3μoI/8R ....(1)
Direction of this magnetic field is out of the plane (curl the fingers of the right hand in the ...

Purchase this Solution
Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

View More Free Quizzes
Related BrainMass Solutions

  • Ampheres law

    The expert derives an expression for the magnetic field at a distance.

  • Electromagnetic Induction: Induced EMF and current.

    (a) find the expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find the expression for the induced emf and the direction of the induced current.

  • Magnetic Effects of Current

    The current element points in the direction of the positive z-axis and has magnitude 2x10^-6 A m. Calculate the magnitude and direction of the magnetic field due to this current element at the point x = 0.1m, y = 0, z = 0.2 m.

  • Magnetic field between two current-carrying wires

    By summing the magnetic field due to currents of magnitude i flowing in both wires in the sense you found in (a), show that, on the line joining the two wires, the magnetic field strength is given by (see attachment for expression) An electron is traveling

  • Determining Magnitude and Direction of a Vector

    391104 Determining Magnitude and Direction of a Vector A proton moving in a uniform magnetic field with v1 = 1.19 * 10^6 i [hat] m/s experiences forces F1 = 1.49 * 10^-16 k [hat] N.

  • Permeability

    For example, when a current I is passed through a solenoid having n turns per meter, a magnetic field is produced with in the solenoid. This magnetic field is directly proportional to n and the magnitude of current I.

  • The Magnitude and Direction of Magnetic Fields

    This response determines the magnitude and direction of a magnetic field at a specific point.

  • Physics: Magnetic field of two parallel conductors

    Find the magnitude and direction of the magnetic field at a point midway between the wires if the currents are (You must show your reasoning/work) (a) in the same direction and (b) in opposite directions ** Please see the attachment for the

  • Magnetic field of two parallel wires with opposite current

    50738 Two parallel wires, each carrying a current of I = 3.1 A, are shown below, where d = 5.2 cm. The current in wire 1 is in the opposite direction of wire 2. Find the direction and magnitude of the net magnetic field at points A, B, and C. 1.

View More Related Solutions