Calculating Force on a 1uC Charge

In summary, the conversation is discussing how to find the force at a point with a 1uC charge, with two other charges at points A and B. The solution involves using vector addition and the equation FP = FPA + FPB, with FPA and FPB calculated using the given charges and the constant K. The final answer is found by taking the square root of the sum of the squares of FPA and FPB, with cos(90) being 0. There is also a question about the handling of powers of ten in the solution.
  • #1
Ember Cult
2
0

Homework Statement


Find Force at 1uC charge
https://i.gyazo.com/12891ce5b3adc422acc64daa6e8d3f25.png
12891ce5b3adc422acc64daa6e8d3f25.png


Homework Equations


p?image=https%3A%2F%2Fupload.wikimedia.org%2Fmath%2F3%2Ff%2F6%2F3f67479eda67aa1df0b2b44ca10a116d.png

The Attempt at a Solution


Assume 1uC charge is at point P 2*10^-8C is at A and 10^-8C is at B
FP = FPA + FPB

FPA = K*2*0.01*1/100
= 0.0002*K
= 2k* 10 ^-4

FPA = K*0.01*1/25
= 0.00004*K
= 4K x 10^-4

Now adding them using vector addition,
sqrt((4K*10^-4)^2 + (2K*10^-4)^2 + 0) --(cos(90) will be 0)
sqrt((20K*10^-16)
 

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  • #2
Your handling of the powers of ten looks off (or you are using nonstandard units for force).
What's 10-6x10-8?
Later, what's (4k10-4)2?
 

Related to Calculating Force on a 1uC Charge

What is the formula for calculating force on a charge?

The formula for calculating force on a charge is F = qE, where F is the force in Newtons, q is the magnitude of the charge in Coulombs, and E is the electric field strength in Newtons per Coulomb.

How do I find the direction of the force on a charge?

The direction of the force on a charge is given by the direction of the electric field. If the charge is positive, the force will be in the same direction as the electric field, and if the charge is negative, the force will be in the opposite direction of the electric field.

Can I use the same formula for finding force on a charge in different scenarios?

Yes, the formula F = qE can be used to find the force on a charge in various scenarios, as long as the electric field and the magnitude of the charge are known.

What units are used for force on a charge?

The SI unit for force is Newtons (N) and the SI unit for charge is Coulombs (C). Therefore, the units for force on a charge are Newtons per Coulomb (N/C).

How does distance affect the force on a charge?

According to Coulomb's Law, the force between two charges is inversely proportional to the square of the distance between them. This means that as the distance between two charges increases, the force between them decreases. Therefore, the distance does affect the force on a charge.

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