# Ampere's swimming rule about magnetic field around a current carrying conductor

• manjuvenamma
In summary, the direction of current flow in the z-axis results in the formation of a magnetic field in the XY plane. A compass placed in this plane will experience a force according to the rule. However, if the compass is placed vertically along the z-axis, its rotation will depend on the plane it is free to rotate in. If it can align itself with the magnetic field in that plane, it will rotate, but if the magnetic field lines are perpendicular to that plane, it will not rotate.

#### manjuvenamma

We know that if current is flowing in the direction of z-axis (verical), magnetic field is formed in a plance perpendicular to that line i.e., in the XY plane. That is if you keep a compass in the XY plane it will experience a force as per the rule. But what will happen to a compass that is placed vertically i.e. along the z axis?

Depends on which plane it is free to rotate in. If it can align itself along the magnetic field in that plane, it will rotate and do so. If magnetic field lines are perpendicular to that plane, it cannot align itself with them, so it won't rotate.

Ampere's swimming rule is a fundamental principle in electromagnetism that explains the relationship between the direction of current flow in a conductor and the resulting magnetic field. It states that when current is flowing in the direction of the z-axis, a magnetic field is formed in the XY plane that is perpendicular to the direction of current flow. This means that if a compass is placed in the XY plane, it will experience a force due to the magnetic field.

However, the question arises, what will happen if a compass is placed vertically along the z-axis? In this case, the compass will not experience a force due to the magnetic field formed by the current carrying conductor. This is because the magnetic field is formed in the XY plane and has no component along the z-axis. Therefore, the compass will not be affected by the magnetic field and will point towards the Earth's magnetic north as usual.

It is important to note that the magnetic field around a current carrying conductor is three-dimensional and its strength and direction vary at different points. The direction of the magnetic field is determined by the right-hand rule, where the thumb points in the direction of current flow and the fingers curl in the direction of the magnetic field.

In summary, Ampere's swimming rule is a valuable tool for understanding the relationship between current flow and magnetic fields. It helps us predict the direction and strength of the magnetic field around a current carrying conductor and how it will interact with other magnetic objects, such as a compass.

## 1. What is Ampere's swimming rule?

Ampere's swimming rule, also known as the right-hand rule, is a way to determine the direction of the magnetic field around a current-carrying conductor.

## 2. How does Ampere's swimming rule work?

Ampere's swimming rule works by using the right hand to visualize the direction of the magnetic field. If the thumb points in the direction of the current, then the fingers will curl in the direction of the magnetic field.

## 3. Why is Ampere's swimming rule important?

Ampere's swimming rule is important because it allows us to determine the direction of the magnetic field around a current-carrying conductor, which is crucial in understanding the behavior of electromagnetism and can be used in various applications such as in motors and generators.

## 4. What is the relationship between Ampere's swimming rule and the magnetic field?

Ampere's swimming rule states that the direction of the magnetic field is perpendicular to the direction of the current. This means that if the current is flowing in a straight line, the magnetic field will form circles around the conductor.

## 5. Are there any variations of Ampere's swimming rule?

Yes, there are variations of Ampere's swimming rule for different types of current, such as alternating current and circular current. However, the basic concept remains the same - the direction of the magnetic field is determined by the direction of the current using the right-hand rule.