Concept explainers
(a)
The magnitude and direction of magnetic field at the point
(a)
Answer to Problem 37P
The direction of the magnetic field is towards the bottom of the page and magnitude of magnetic field at the point
Explanation of Solution
From the figure 1
Write the expression to calculate the side of the square,
Write the formula to calculate the angle
Figure.2 shows the direction of the magnetic fields
Write the expression for magnetic field at point
Here,
Substitute
Write the expression for magnetic field at point
Here,
Substitute
Write the expression for magnetic field at point
Here,
Substitute
Write the expression to calculate magnetic field at the point
Substitute
Conclusion:
Substitute
Write the expression to calculate the
Substitute
Write the expression to calculate the net magnetic field at point
Substitute
The direction of the magnetic field is towards the bottom of the page and magnitude of magnetic field at the point
(b)
The magnitude and direction of the magnetic field at the point
(b)
Answer to Problem 37P
The magnitude of magnetic field at point
Explanation of Solution
The sum of magnetic fields due to conductors 1 and 2 at point
Write the relation for the net magnetic field at point
Calculation:
Substitute
Therefore, the magnitude of magnetic field at point
(c)
The magnitude and direction of the magnetic field at the point
(c)
Answer to Problem 37P
The net magnitude of the magnetic field at the point
Explanation of Solution
Figure.3 shows the direction of the magnetic fields
The net magnetic field at point
Conclusion:
Therefore, the net magnetic field at the point
Want to see more full solutions like this?
Chapter 22 Solutions
Principles of Physics: A Calculus-Based Text
- An infinitely long wire carrying a current I is bent at a right angle as shown in Figure P22.30. Determine the magnetic field at point P, located a distance x from the corner of the wire. Figure P22.30arrow_forwardIn Figure P22.43, the current in the long, straight wire is I1 = 5.00 A and the wire lies in the plane of the rectangular loop, which carries a current I2 = 10.0 A. The dimensions in the figure are c = 0.100 m, a = 0.150 m, and = 0.450 m. Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire. Figure P22.43 Problems 43 and 44.arrow_forwardTwo infinitely long current-carrying wires run parallel in the xy plane and are each a distance d = 11.0 cm from the y axis (Fig. P30.83). The current in both wires is I = 5.00 A in the negative y direction. a. Draw a sketch of the magnetic field pattern in the xz plane due to the two wires. What is the magnitude of the magnetic field due to the two wires b. at the origin and c. as a function of z along the z axis, at x = y = 0? FIGURE P30.83arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning