Magnetic force - class-X

Using Fleming's left-hand rule, the force on a positive charge is F = q(v x B). With velocity downwards and the horizontal magnetic field component pointing North, the cross product results in a force directed towards the East.

The magnetic force acting on a charged particle is given by 

Current is flowing anticlockwise in the rectangular loop and in the upper edge of page current is flowing towards left and magnetic field is from top to bottom , so by applying Fleming's left hand rule the direction of force is found to be in the upward direction, lifting the top edge up.

The direction of this force is always right angles to the plane containing both the conductor and the magnetic field, and is predicted by Fleming’s Left-Hand Rule.

$F= q(\vec{v} \times \vec{B})= (-e)( -v\hat{i}\times (-B\hat{k}))=evB\hat{j}$
Thus, force on the electron beam is along the +ve y-axis.

Fleming's left-hand rule is used for electric motors, which convert electrical energy into mechanical energy. An electric generator uses Fleming's right-hand rule, as it converts mechanical energy into electrical energy.

According to Fleming left hand rule, if the direction of horizontal component of earth's magnetic field is from south to north and direction of velocity of electron is downwards then the direction of the force given by the thumb is towards west.

The magnetic force on a current-carrying conductor is given by F = I(L x B). If the direction of the current (I) is reversed, the direction of the resulting force (F) is also reversed.

By Fleming's left hand rule, taking velocity (middle finger) in east direction and magnetic field (index finger) in south direction, we get force (thumb) in vertically downward direction.

Using the right-hand rule for a negative charge (electron), the force is opposite to the direction determined for a positive charge. If the electron enters perpendicular to the field, the force is directed into the page.

We considered the direction of the current and that of the magnetic field perpendicular to each other and found that the force is perpendicular to both of them. The three directions can be illustrated through a simple rule, called Flemings left-hand rule. According to this rule, stretch the thumb, forefinger and middle finger of your left hand such that they are mutually perpendicular. If the first finger points in the direction of magnetic field and the second finger in the direction of the current, then the thumb will point in the direction of motion or the force acting on the conductor.

The direction of the current and that of the magnetic field perpendicular to each other and found that the force is perpendicular to both of them. The three directions can be illustrated through a simple rule, called Flemings left-hand rule. According to this rule, stretch the thumb, forefinger and middle finger of your left hand such that they are mutually perpendicular. If the first finger points in the direction of magnetic field and the second finger in the direction of the current, then the thumb will point in the direction of motion or the force acting on the conductor.

The direction of the current and that of the magnetic field perpendicular to each other and found that the force is perpendicular to both of them. The three directions can be illustrated through a simple rule, called Flemings left-hand rule. According to this rule, stretch the thumb, forefinger and middle finger of your left hand such that they are mutually perpendicular. If the first finger points in the direction of magnetic field and the second finger in the direction of the current, then the thumb will point in the direction of motion or the force acting on the conductor.

The direction of the current and that of the magnetic field perpendicular to each other and found that the force is perpendicular to both of them. The three directions can be illustrated through a simple rule, called Flemings left-hand rule. According to this rule, stretch the thumb, forefinger and middle finger of your left hand such that they are mutually perpendicular. If the first finger points in the direction of magnetic field and the second finger in the direction of the current, then the thumb will point in the direction of motion or the force acting on the conductor.

An electron is moving towards east in a magnetic field acting vertically downwards. So, the electron is deflected in a mutually perpendicular direction to magnetic field. Using Fleming's left hand rule it is in south direction .

Fleming's left-hand rule is a mnemonic used to determine the direction of the magnetic force acting on a current-carrying conductor placed within a magnetic field.

The force F = q(v x B). Given velocity v = 5j and B = 2i + 3j + 4k, the cross product v x B = 5j x (2i + 3j + 4k) = 10(j x i) + 15(j x j) + 20(j x k) = -10k + 0 + 20i. The resulting vector (20i - 10k) lies in the zx plane.

The magnetic force on a moving charge is F = q(v x B). If the charge moves parallel to the magnetic field, the angle between v and B is 0 degrees, so the cross product (and thus the force) is zero.