Concept explainers
(a)
The magnitude and direction of magnetic field at point
(a)
Answer to Problem 15P
The magnitude is
Explanation of Solution
Write the expression to obtain the magnetic field along the conductor.
Here,
The arrangement of the conductors is as shown in the figure below.
Figure-(1)
Write the expression to obtain the magnetic field at point
Here,
Conclusion:
Substitute
Further substitute
Substitute
Further substitute
Substitute
Further substitute
Substitute
Based on right hand thumb rule the direction of magnetic field at point
Therefore, the magnitude is
(b)
The magnitude and direction of magnetic field at point
(b)
Answer to Problem 15P
The magnitude is
Explanation of Solution
Write the expression to obtain the magnetic field at point
Here,
The magnetic field due to conductor
Conclusion:
Substitute
Further substitute
Substitute
Based on right hand thumb rule the direction of magnetic field at point
Therefore, the magnitude is
(c)
The magnitude and direction of magnetic field at point
(c)
Answer to Problem 15P
The magnitude is
Explanation of Solution
Write the expression to obtain the magnetic field at point
Here,
Conclusion:
Substitute
Further substitute
Substitute
Further substitute
Substitute
Further substitute
Substitute
Further solve the above equation.
Therefore, the magnitude is
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Chapter 30 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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- A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure P31.6 shows half of this toroid, allowing us to see its cross section. If R r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately L=120N2r2R Figure P31.6arrow_forwardA wire is bent in the form of a square loop with sides of length L (Fig. P30.24). If a steady current I flows in the loop, determine the magnitude of the magnetic field at point P in the center of the square. FIGURE P30.24arrow_forward
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