# Finding the magnitude of the force and direction.

• jimmyboykun
In summary, the problem involves a long wire carrying 6.50A of current making two bends, with the bent part passing through a uniform 0.280T magnetic field. The task is to find the magnitude and direction of the force exerted by the magnetic field on the wire. Using the equation F=IlB, with I=6.50A, B=0.280T, and l=0.8m, the initial attempt yielded a magnitude of 1.456N, which was incorrect. After considering the length of the wire and the direction of the force vectors from the segments, the correct approach was determined.
jimmyboykun

## Homework Statement

A long wire carrying 6.50A of current makes two bends. The bent part of the wire passes through a uniform 0.280T magnetic field directed as shown in the figure and confined to a limited region of space.
Part A: Find the magnitude of the force that the magnetic field exerts on the wire.
Part B: Find the direction of the force that the magnetic field exerts on the wire.

here is the link for the figure. http://s16.postimg.org/li2tzpa4l/yg_20_92.jpg

F=IlB

## The Attempt at a Solution

I= 6.50A, B= 0.280T, and l=0.8m(I did the Pythagorean theorem to find the lenght)

F=(6.50A)(0.8m)(0.280T)

F= 1.456N.

I found the force, but I got the answer wrong. Can someone explain where did I go wrong? I'm confuse with this problem.

jimmyboykun said:

## Homework Statement

A long wire carrying 6.50A of current makes two bends. The bent part of the wire passes through a uniform 0.280T magnetic field directed as shown in the figure and confined to a limited region of space.
Part A: Find the magnitude of the force that the magnetic field exerts on the wire.
Part B: Find the direction of the force that the magnetic field exerts on the wire.

here is the link for the figure. http://s16.postimg.org/li2tzpa4l/yg_20_92.jpg

F=IlB

## The Attempt at a Solution

I= 6.50A, B= 0.280T, and l=0.8m(I did the Pythagorean theorem to find the lenght)

F=(6.50A)(0.8m)(0.280T)

F= 1.456N.

I found the force, but I got the answer wrong. Can someone explain where did I go wrong? I'm confuse with this problem.
The length you have is wrong.

80 cm of wire is at a 30° angle to the "horizontal", but there is also some length that is "horizontal" .

Furthermore, the force vectors from those two (or three) segments are not in the same direction.

#### Attachments

• yg_20_92.jpg
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ok so I think I figured out how to approach this problem. Thanks

## 1. How do you find the magnitude of a force?

The magnitude of a force can be found by using the formula F = m x a, where F is the force, m is the mass of the object, and a is the acceleration. This formula is known as Newton's Second Law of Motion.

## 2. What units are used to measure force?

Force is typically measured in Newtons (N) in the International System of Units (SI). However, other units such as pounds (lb) or kilograms-force (kgf) may also be used.

## 3. How do you determine the direction of a force?

The direction of a force can be determined by using a coordinate system and assigning positive and negative values to indicate the direction. Alternatively, the direction can be described using angles or vectors.

## 4. Can the direction of a force change?

Yes, the direction of a force can change depending on the motion and orientation of the object it is acting on. For example, a force may change direction if the object is rotating or if an external force is applied.

## 5. How is the magnitude and direction of a force represented?

The magnitude and direction of a force are often represented using a vector diagram. The length of the vector represents the magnitude of the force and the direction is indicated by an arrow pointing in the direction of the force.

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