Concept explainers
(a)
The magnetic field on each side of the loop.
(a)
Answer to Problem 51P
The magnetic force on each side of the loop is
Explanation of Solution
The rectangle wire loop is given below.
Write the expression for magnetic force along top loop.
Here,
Write the expression for magnetic force along the bottom of the wire.
Here,
The negative sign indicates the direction of magnetic field on top and bottom of the wire is opposite to each other.
Write the expression for magnetic force along the left of the wire.
Here,
Similar to equation (II) the expression for force along right side of the wire.
Conclusion:
Substitute,
Substitute,
Substitute,
Substitute,
The force along left side of the wire is directed out of the page, and force along right side of the wire is directed into the page.
Therefore, the magnetic force on each side of the loop is
(b)
The net magnetic force on the loop.
(b)
Answer to Problem 51P
The net magnetic force on the loop is
Explanation of Solution
The net force is the sum of the components of forces.
Write the expression for net magnetic force.
Conclusion:
Substitute,
Therefore, net magnetic force on the loop is
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Chapter 19 Solutions
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