
Concept explainers
(a)
What is the magnetic force on each side of the loop if the magnetic field is
(a)

Answer to Problem 50P
Magnetic force on the top side of loop is
Explanation of Solution
The schematic diagram showing the rectangular loop carrying current is given in figure 1 below. The direction of magnetic field is given to be out of the page. The four sides of the loop is also marked in the figure. Consider each side separately to find the magnitude and direction of force experienced in the loop.
Write the equation to find the force on the top side of the loop.
Here,
Write the equation to find the force on the bottom side of the loop.
Here,
Write the equation to find the force on the left side of the loop.
Here,
Write the equation to find the force on the right side of the loop.
Here,
Conclusion
Substitute
Substitute
Substitute
Substitute
Therefore, Magnetic force on the top side of loop is
(b)
What is the net magnetic force on the loop?
(b)

Answer to Problem 50P
The net magnetic force on the loop is
Explanation of Solution
The net force is the resultant sum of forces in the x and y directions.
Write the equation to find the net force in x direction.
Here,
Write the equation to find the net force in y direction.
Here,
Write the equation to find the sum of x and y component of forces.
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, The net magnetic force on the loop is
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Chapter 19 Solutions
Physics
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