# Find the magnitude and direction of the force

• jersey
In summary, the problem involves finding the magnitude and direction of the force on a +1.0μC charge moving southward at 3.5 m/s in a 0.45 T magnetic field pointing due east. Using the right hand rule, the direction of the force is up. The magnitude of the force is calculated to be 1.575 x 10^-7N, but the correct answer is 1.575 x 10^-6N since the incorrect value of 0.1μC was used in the calculation. The direction of the force can also be determined using the Left Hand Rule, where the pointer finger points east, the center finger points south, and the thumb points upwards.
jersey

## Homework Statement

A 0.45 T magentic field points due east. Find the magnitude and direction of the force on a +1.0uC charge moving southward at 3.5 m/s?

F= qvB
Right hand rule

## The Attempt at a Solution

Using right hand rule, direction of the force is up

For mangnitude of the force:
F-qvB
=0.10 x 10^-6 x 3.5 x .45N
=1.575 x 10^-7N

IS this correct? Do I need to show anything else for the direction of the force ?

The answer is 1.575 x 10-6 N
For some reason you used 0.1μC in the calculation instead of 1μC
But yes, the method is correct.
The direction of the force is given by the Left Hand Rule.
Pointer finger to the East - field
Centre finger points South - current
Thumb upwards - force
So "upwards" is correct but you used the wrong rule!
The Right Hand Rule is used to find the direction of the induced emf in a wire that is moved in a magnetic field.
The Left Hand Rule is used to find the direction of the force on a moving charge or current in a magnetic field.

Thank you so much.

## What is the definition of force?

Force is defined as any interaction that causes an object to undergo a change in motion or direction, or to deform. It has both magnitude and direction, and is typically measured in units of Newtons (N).

## 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. Alternatively, the magnitude of a force can be measured using a force meter or spring scale.

## What is the direction of a force?

The direction of a force is the line along which the force is acting. It can be described using words (e.g. up, down, left, right) or using angles and vectors.

## How is the direction of a force represented?

The direction of a force is often represented using arrows or vectors. The length of the arrow represents the magnitude of the force, and the direction of the arrow represents the direction of the force.

## What is the most common unit for measuring force?

The most common unit for measuring force is the Newton (N). However, other units such as pounds (lb) or dynes (dyn) may also be used depending on the context and field of study.

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