When talking about electric charges, physicists use the term magnitude to refer to the intrinsic strength of a charge. The magnitude of a charge is a measure of how many other charges it would take to neutralize it.
Charges can have different signs, or values for their magnitude. For example, a charge can have a positive or negative magnitude, or it can have any value of fractional magnitude. Magnitudes can be additive, as in the case of two equal charges with opposite signs.
Understanding the magnitudes of charges is an important part of understanding the physics of electric charges. This article will discuss some questions related to the magnitude of charges, and provide answers and examples.
Determine which charge is moving
The first step in determining the magnitude of the force on a charge is to determine which charge is moving. In this case, it is clearly the negative charge that is moving.
The positive charge appears to be static, or not moving. Because we are only considering the motion of the negative charge in this problem, we can assume that there is no force acting on the positive charge.
This is because if there was a force acting on the positive charge, then it would be moving. Forces cause motions, so if there was a force acting on the positive charge then it would be moving.
This assumption will not change the magnitude of the force on the 1Nc negative charge in figure (figure 1) as we will see in the next step.
Find the direction of the moving charge
To determine the direction of the moving charge, you need to find the direction of the current. Current is defined as the amount of charge flowing per second through a circuit.
Since we know there is only one charge in this problem, we can define the current as being the magnitude of the single charge. The direction of the current is then determined by which way the charge would move if it were in a circuit.
Since the figure shows that the positive charge is moving to the left, then the current must be left to right, or vice versa. This is important because now you can determine which way the force is acting on the charged particle.
The force is acting in a direction opposite to that of the current; therefore, it is resisting being pushed left. The magnitude of this resistance force (also known as counter-force) is equal to -1 Newtons.
Find the distance between charges
The first step in calculating the force on a charge is finding the distance between charges. In this case, you know the distance between the +1 charge and -1 charge is 2 cm.
You can also assume the +1 charge is at the origin (0, 0) since the picture shows it in the middle of the graph. The –1 charge could be anywhere in relation to the +1 charge, so find an average distance between them.
2 cm is closer than 1 m, so you can assume they are very close charges.
Use Coulomb’s law to find magnitude of force on 1.0 n c charge
The next step is to determine the magnitude of the force on the 1.0-newton charge. To do this, you need to find the value of the electric field strength, Fe, on the 1.0-newton charge.
You can find this value using Coulomb’s law, which states that the magnitude of the electric force F⃗ between two charges q1 and q2 is proportional to the product of their separation distance d and inversely proportional to the square of their magnitude difference |q1−q2|:
F⃗ = k d|q1−q2|²
Where k is a constant that depends on your unit system.
Then, you can solve for d by substituting |q1−q2| for d and solving for d²:d=|q1−q2|k.
Calculate magnitude of force on 1.0 n e charge
Now let’s calculate the magnitude of the force on the 1.0 n e charge. First, we need to remember that the magnitude of any force is defined as the product of the magnitude of the velocity of the object being pushed and the length of time that it is being pushed.
Velocity here is velocity in a particular direction, so we have to be very careful to use the correct coordinate system when calculating this value. In this case, we are given velocities in the coordinate system chosen by the author, so we do not have to worry about that.
We also need to remember that, since we are calculating a negative force, we need to calculate a negative velocity for V⃗1 in order to get an answer consistent with our intuition about what this force does.
Compare results from steps 5 and 6
In this section, you will compare the magnitude of the force calculated in step 5 with that calculated in step 6. If the forces are not equal, which one is correct?
The answer is that either could be correct, depending on the situation. Which one is correct depends on whether the surface charges are considered in the calculation.
If surfaces charges are not considered, then the force in step 5 is correct. This is because the force on a charge due to a nearby charge is not dependent on whether or not there are surfaces charges present.
If surfaces charges are considered, then the force in step 6 is correct. This is because the force on a charge due to a nearby charge takes into account any surface charges present and thus may be more accurate. However, it may also be incorrect depending on how it was done.
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