Concept explainers
(a)
The magnitude and direction of magnetic field at point
(a)
Answer to Problem 28PQ
The magnetic field at the point
Explanation of Solution
Refer to figure P30.28; the direction of the magnetic field can be described by the Right hand rule.
The Right Hand Thumb rule states that when a conductor is held such that the thumb points in the direction of the current flowing through the conductor, then the direction of curling of the fingers around the conductor shows the direction of magnetic field.
Write the expression for magnetic field at point
Here,
Write the expression for magnetic field at point
Here,
Write the expression for magnetic field at point
Here,
Write the expression for the net magnetic field at point
Here,
Conclusion:
Substitute
Substitute
Thus, the magnetic field at the point
(b)
The magnitude and direction of magnetic field at point
(b)
Answer to Problem 28PQ
The magnetic field at the point
Explanation of Solution
Refer to figure P30.28;
Write the expression for magnetic field at point
Here,
Consider the distance of point
Write the expression for magnetic field at point
Here,
Consider the distance of point
Write the expression for magnetic field at point
Here,
Write the expression for the net magnetic field at point
Here,
Conclusion:
Substitute
Substitute
Thus, the magnetic field at the point
(c)
The magnitude and direction of magnetic field at point
(c)
Answer to Problem 28PQ
The magnetic field at the point
Explanation of Solution
Refer to figure P30.28; write the expression for magnetic field at point
Here,
Write the expression for magnetic field at point
Here,
Consider the distance of point
The angle made by the magnetic field vector from the X-axis is.
Write the expression for magnetic field at point
Here,
The net magnetic field at point
Here,
Conclusion:
Substitute
Substitute
Thus, the magnetic field at the point
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Chapter 30 Solutions
Physics for Scientist and Engineers (Foundations And Connection; Volume I and II) LLF edition
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- A 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_forwardA metal rod of mass m slides without friction along two parallel horizontal rails, separated by a distance and connected by a resistor R, as shown in Figure P30.13. A uniform vertical magnetic field of magnitude B is applied perpendicular to the plane of the paper. The applied force shown in the figure acts only for a moment, to give the rod a speed v. In terms of m, , R, B, and v, find the distance the rod will then slide as it coasts to a stop. Figure P30.13arrow_forwardA Derive an expression for the magnetic field produced at point P due to the current-carrying wire shown in Figure P30.26. The curved parts of the wire are pieces of concentric circles. Point P is at their center.arrow_forward
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