Right hand grip rule e=mc2andallthat

For the flow of currents, which are the imagined flow of positive charge, it is appropriate to use your right hand. But when it comes to negative currents, such as electrons, it is appropriate to use your left hand, which generates the opposite result that a positive charge would experience. If one wishes to demonstrate the Lorentz force on a CRT, it helps to know to emphasize “use the left-hand rule for negative charges.”

Effects of Forces

If the velocity of the charged particle is parallel to the magnetic field (or antiparallel), then there is no force because sin(θ) equals zero.When this occurs, the charged particle can maintain its straight line motion, even in the presence of a strong magnetic field. One form of the right-hand rule is used in situations in which an ordered operation must be performed on two vectors a and b that has a result which is a vector c perpendicular to both a and b. The right-hand rule imposes the following procedure for choosing one of the two directions. There is another rule called the right-hand grip rule (or corkscrew rule) that is used for magnetic fields and things that rotate. If you have two vectors that you want to cross multiply, you can figure out the direction of the vector that comes out by pointing your thumb in the direction of the first vector and your pointer in the direction of the second vector. Your middle finger will point the direction of the cross product.

Magnetic field due to a straight wire

This means that the primary and secondary magnetic fields will occur inopposite directions. When the existing magnetic field is decreasing, the induced current and resulting induced magneticfield will oppose the original, decreasing magnetic field by reinforcing it. Thus, the induced magnetic field will have thesame direction as the original magnetic field.

So placing a steel nail in the centre of a solenoid boosts its magnetic field strength by a factor of 100 — which would make the solenoid roughly as strong as a typical bar magnet. Torque problems are often the most challenging topic for first year physics students. Luckily, there’s a right hand ruleapplication for torque as well. To use the right hand rule in torque problems, take your right hand and point it in thedirection of the position vector (r or d), then turn your fingers in the direction of the force and your thumb will pointtoward the direction of the torque. The N and S-poles of a solenoid can change depending on the direction of current flow and the geometry of the loops.

Next, align your thumb in the direction of theinduced magnetic field and curl your fingers. Since electric current is made of moving charges we can also push it around with magnets. This will highlight that the current, field, and force are all three at right angles.Using your right hand, the current flows from positive to negative – thumb. The magnetic field – pointer finger – is directed from North to South (that usually means from red to blue). The force on the current is perpendicular to both of these and is predicted by your middle fingerThis 2nd rule is usually called the Lorentz Force named after H.

Magnetising a solenoid

A cross product, or vector product, is created when an ordered operation is performed on two vectors, a and b. Thecross product of vectors a and b, is perpendicular to both a and b and is normal to the plane that contains it. Sincethere are two possible directions for a cross product, the right hand rule should be used to determine the directionof the cross product vector. The plane formed by the direction of the magnetic field and the charged particle’s velocity is at a right angle to the force. Because theforce occurs at a right angle to the plane formed by the particle’s velocity and the magnetic field, we can use the right hand rule todetermine their orientation.

For example, some high schools use the “left-hand” rules because it deals with ELECTRON FLOW, that is… current right hand grip rule flow from negative to positive (the direction that electrons flow from a battery for example). I always thought the same could be applied to the opposite scenario. The right hand grip rule (also known as right hand screw rule) tells you the direction of a magnetic field due to a current. If you point your thumb in the direction of the current, your fingers will curl in the direction of the magnetic field.

1. If you point your thumb in the direction of current in a wire, the magnetic field that comes up around it is in the direction of your curling fingers.
2. We use rules to help us solve problems, laws would be the underlying cause as to why the rules work.Electricity and Magnetism are connected phenomena, but at right angles to each other.
3. As the magnetic north pole gets closer to the loop, it causes the existing magneticfield to increase.
4. Ampère was inspired by fellow physicist Hans Christian Ørsted, who observed that needles swirled when in the proximity of an electric current-carrying wire and concluded that electricity could create magnetic fields.
5. A helix is a curved line formed by a point rotating around a center while the center moves up or down the z-axis.
6. The typical methods used to identify the N and S poles are shown below.

Although these currents are moving in opposite directions, a singlemagnetic force is observed acting on the wire. Therefore, the force occurs in the same direction whether weconsider the flow of positive or negative charge carriers in the above image. To apply the right hand rule to Lenz’s Law, first determine whether the magnetic field through the loop is increasing ordecreasing. Recall that magnets produce magnetic field lines that move out from the magnetic north pole and in toward themagnetic south pole. If the magnetic field is increasing, then the direction of the induced magnetic field vector will bein the opposite direction. If the magnetic field in the loop is decreasing, then the induced magnetic field vector willoccur in the same direction to replace the original field’s decrease.

Teaching electricity and magnetism is complicated by the challenge that the magnetic forces are perpendicular to the motion of the particles and currents. This requires a three-dimensional perspective which can introduce a variable of a “wrong” direction. To prevent errors, let us be “right” and use the right-hand rule.Some would claim that there is only one right-hand rule, but I have found the convention of three separate rules for the most common situations to be very convenient. These are for (1) long, straight wires, (2) free moving charges in magnetic fields, and (3) the solenoid rule – which are loops of current. We use rules to help us solve problems, laws would be the underlying cause as to why the rules work.Electricity and Magnetism are connected phenomena, but at right angles to each other.

In this model, your fingers point in the direction of the magnetic field, your thumb points in the direction of theconventional current running through the wire, and your palm indicates the direction that the wire is being pushed (force). In fact – if you trace the magnetic field with a compass, you can see that it matches the behavior a bar magnet perfectly.Using a third right-hand rule, we can we predict which side of the coil is north.Let your curling fingers be the direction the current is flowing. To understand how Lenz’s Law will affect this system, we need to first determine whether the initial magnetic field isincreasing or decreasing in strength. As the magnetic north pole gets closer to the loop, it causes the existing magneticfield to increase. Since the magnetic field is increasing, the induced current and resulting induced magnetic field willoppose the original magnetic field by reducing it.

Direction associated with a rotation

The direction of the current in the last diagram is shown using the ‘dot and cross’ convention which, by a strange coincidence, I have also written about before . To go in reverse order for no particular reason, I don’t like using the second method because it involves a tricky mental rotation of the plane of view by 90 degrees to imagine the current direction as viewed when looking directly at the ends of the magnet. A solenoid is an electromagnet made of a wire in the form of a spiral whose length is larger than its diameter. The hand rules work the same but they are based on two different current concepts. When choosing three vectors that must be at right angles to each other, there are two distinct solutions, so when expressing this idea in mathematics, one must remove the ambiguity of which solution is meant.

1. If the curl of the fingers represents a movement from the first or x-axis to the second or y-axis, then the third or z-axis can point along either right thumb or left thumb.
2. When an electric current passes through a solenoid, it creates a magnetic field.
3. The solenoid will behave exactly like a bar magnet with a clearly defined north and south pole.
4. If the magnetic field in the loop is decreasing, then the induced magnetic field vector willoccur in the same direction to replace the original field’s decrease.
5. The direction of your fingers will mirror the curled direction of the induced magnetic field.
6. If you have two vectors that you want to cross multiply, you can figure out the direction of the vector that comes out by pointing your thumb in the direction of the first vector and your pointer in the direction of the second vector.

So we use the convention of the right hand to predict the direction of the fields relative to each other. If we consider current flow as the movement of positive charge carriers (conventional current) in the aboveimage, we notice that the conventional current is moving up the page. Since a conventional current is composedof positive charges, then the same current-carrying wire can also be described as having a current with negativecharge carriers moving down the page.