(a)
The direction of magnetic force exerted on wire segment
(a)
Answer to Problem 52P
The direction of magnetic force exerted on wire segment
Explanation of Solution
Write the expression to calculate the magnetic force exerted on
Here,
Write the expression to calculate the resultant magnetic field.
Here,
Conclusion:
Substitute
Substitute
Therefore, the direction of magnetic force exerted on wire segment
(b)
The direction of torque associated with this force.
(b)
Answer to Problem 52P
The direction of torque associated with this force is along the negative
Explanation of Solution
Write the expression to calculate the torque.
Here,
Conclusion:
Substitute
Therefore, the direction of torque associated with this force is along the negative
(c)
Write the expression to calculate the magnetic force exerted on
(c)
Answer to Problem 52P
The direction of magnetic force exerted on wire segment
Explanation of Solution
Write the expression to calculate the magnetic force exerted on
Here,
Conclusion:
Substitute
Therefore, the direction of magnetic force exerted on wire segment
(d)
The direction of torque associated with this force.
(d)
Answer to Problem 52P
The direction of torque associated with this force is along the negative
Explanation of Solution
Write the expression to calculate the torque.
Here,
Conclusion:
Substitute
Therefore, the direction of torque associated with this force is along the negative
(e)
Whether the obtained forces combine to rotate the loop along the
(e)
Answer to Problem 52P
The obtained forces cannot combine to rotate the loop along the
Explanation of Solution
Since, the magnitude of magnetic forces on the segments
Hence, the net force on combining both the forces, the resultant force becomes zero.
Thus, the magnetic forces cannot rotate the loop along the
Therefore, the obtained forces cannot combine to rotate the loop along the
(f)
Whether the obtained forces can affect the motion of loop in anyway.
(f)
Answer to Problem 52P
The obtained forces cannot affect the motion of loop in anyway
Explanation of Solution
Since, the magnetic field, the current and the length is constant, Hence, the magnetic force obtained will be constant.
So, the magnetic forces will be able to rotate the loop only and shall not affect the motion of the loop in anyway.
Therefore, the obtained forces cannot affect the motion of loop in anyway
(g)
The direction of magnetic force exerted on wire segment
(g)
Answer to Problem 52P
The direction of magnetic force exerted on wire segment
Explanation of Solution
Write the expression to calculate the magnetic force exerted on
Here,
Conclusion:
Substitute
Therefore, the direction of magnetic force exerted on wire segment
(h)
The direction of torque associated with this force.
(h)
Answer to Problem 52P
The direction of torque associated with this force is along the negative
Explanation of Solution
Write the expression to calculate the torque.
Here,
Conclusion:
Substitute
Therefore, the direction of torque associated with this force is along the negative
(i)
The direction of torque on segment
(i)
Answer to Problem 52P
The direction of the torque associated with segment cannot be defined because the torque on segment
Explanation of Solution
Since, the lever arm on the segment
Therefore, the direction of the torque associated with segment cannot be defined because the torque on segment
(j)
The direction of rotation of the loop when it is released from rest.
(j)
Answer to Problem 52P
The rotation of loop will be in counter clockwise direction about the
Explanation of Solution
The direction of magnetic force exerted on wire segment
The direction of torque on wire segment
The direction of magnetic force exerted on wire segment
The direction of torque on wire segment
This signifies that the torque on segment
Therefore, the rotation of loop will be in counter clockwise direction about the
(k)
The magnitude of the magnetic moment of the loop.
(k)
Answer to Problem 52P
The magnitude of the magnetic moment of the loop is
Explanation of Solution
Write the expression to calculate the area of the loop.
Here,
Write the expression to calculate the magnetic moment of the loop.
Here,
Substitute
Conclusion:
Substitute
Therefore, the magnitude of the magnetic moment of the loop is
(l)
The angle between the magnetic moment vector and the magnetic field.
(l)
Answer to Problem 52P
The magnitude of the magnetic moment of the loop is
Explanation of Solution
The current flowing through the loop is in clockwise direction. So by the right hand thumb rule, the direction of magnetic field will be in the downward direction along the negative
So the angle between the magnetic moment vector and the magnetic field will be,
Here,
Conclusion:
Substitute
Therefore, the angle between the magnetic moment vector and the magnetic field is
(l)
The torque in the loop.
(l)
Answer to Problem 52P
The torque in the loop is
Explanation of Solution
Write the expression to calculate the torque on the loop.
Here,
Conclusion:
Substitute
Therefore, the torque in the loop is
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Chapter 29 Solutions
Physics for Scientists and Engineers With Modern Physics
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