What is the Force on Charge B Due to Charges A and C?

In summary, the problem involves three charges, A, B, and C, with charges of +3.2 x 10^-6 C and -7.8 x 10^-6 C respectively. The question asks about the force on B due to A and C. Using the equation FE=kq1q2/r^2 and given the distance between A and B as 2.5m and between C and B as 1.5m, the resulting force on B is calculated to be 0.19 N and -1.29 N, respectively. The direction of the resultant force would need to be determined using the diagram and the charge of B.
  • #1
euphoriax
13
0

Homework Statement



Three charges A, B and C with charges respectively +3.2 x 10-6 C and -7.8 x 10-6 C are placed as seen in the diagram. What is the force on B because of A and C?

Homework Equations



FE=kq1q2/r2

The Attempt at a Solution



dAB = 2.5m
dCB= 1.5m
k= 9.0x109 Nm2/c2

FAB= kq1q2/r2
= (9.0x109)(3.2x10-6)(41.4x10-6)/(2.5)2
= 0.19 N

FCB= kq1q2/r2
= (9.0x109)(-7.8x10-6)(41.4x10-6)
= -1.29 N

from here on, I'm not really sure what I am supposed to do...
any help would be aprreciated

thanks!
 
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  • #2
You didn't show the diagram, nor list the charge on B (I assume it's 41.6 uC) but you need to find the direction of the resultant vector.
 

FAQ: What is the Force on Charge B Due to Charges A and C?

1. What is an electric field?

The electric field is a physical quantity that describes the force exerted on a charged particle by other charged particles in its vicinity. It is a vector field, meaning it has both magnitude and direction.

2. How is electric field strength measured?

Electric field strength is measured in units of volts per meter (V/m). It can be measured using a device called an electric field meter, which detects the electric field at a given point in space.

3. How does the presence of charged particles affect the electric field?

The presence of charged particles, such as electrons or protons, creates an electric field. The strength and direction of this field depend on the charges and their positions relative to each other.

4. Can the electric field be shielded or blocked?

Yes, the electric field can be shielded or blocked by certain materials, such as metals. This is because the charges in the material rearrange themselves in response to the external electric field, creating an opposing field that cancels out the original field.

5. How does distance affect the electric field strength?

The strength of the electric field decreases as distance from the source increases. This is described by the inverse square law, which states that the electric field strength is inversely proportional to the square of the distance from the source.

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