Forces between a Charge and a Bar Magnet Learning Goal: To understand the forces between a…
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Question “Forces between a Charge and a Bar Magnet Learning Goal: To understand the forces between a…”
Answer
This problem can be solved using the following concepts: magnetic force, magnetic field and ferromagnetic material.
To determine the right option, first use expressions for magnetic force or torque.
To find the right option, you can use the expression magnetic force.
To find the right option, you can use concept ferromagnetism.
Here’s how to define magnetic force:
\vec F = q\left( {\vec v \times \vec B} \right)Here, $math_tag_1 is the magnetic force
Below is the expression for torque:
\vec \tau = \vec r \times \vec FHere, the torque value is \vec \tau
Ferrimagnets are magnetic materials with similar properties to iron. They can be permanently magnetized.
(A)
These are the wrong options
* The torque is caused by charge attracted to the north pole of the magnet.
* The torque is due to the charge attracted to the magnet’s south pole.
* A torque is only possible if the magnetic poles are slightly closer to the charge than each other.
Below is the formula for magnetic force:
\vec F = q\left( {\vec v \times \vec B} \right)The charge is now stationary. The velocity is therefore zero.
The magnetic force is also zero since the velocity is zero.
F = 0Below is the expression for torque:
\vec \tau = \vec r \times \vec FThe magnetic force is therefore zero. The above expression shows that there is no torque acting upon the magnet.
The correct choice is therefore,
* No torque at all.
(B)
These are incorrect expressions
* - \hat i
* + \hat j
* - \hat j
* + \hat k
The magnetic field direction in a bar magnet is from the North to the South Pole. The magnetic field direction is shown in $math_tag_9
The charge is in + \hat i
Below is the formula for magnetic force:
\begin{array}{c}\\\vec F = q\left( {v\hat i \times - B\hat j} \right)\\\\ = qvB\left( {\hat i \times - \hat j} \right)\\\\ = - \hat k\\\end{array}The $math_tag_14 magnetic force is available
The correct choice is therefore,
* - \hat k
(C)
These are the wrong options
* A magnet will feel a torque because iron attracts its north pole.
* A magnet will feel a torque because iron attracts its south pole.
* The iron will repel the pole closest to it.
An induced magnetic field will form on the nail when there is no charge and an iron nail instead.
Near the bar, the nature of the pole inducing will be the opposite. Therefore, a magnet will induce a north pole near the south pole and vice versa.
The correct choice is therefore,
* The iron will attract to the pole closest to the magnet.
Part A – Ans
The magnet won’t experience any torque.
Part B
The direction of magnetic force can be found in {\bf{ - \hat k}}Part B
The iron will be attracted by the pole closest to the magnet.
Conclusion
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