Calculating Electric Field Strength of Three Point Charges - Convert to V/m

[RoundyDuffy]

Hey i worked out this answer for the electric field strength at a point due to three point charges.

E = -46736i + 46736j -39546k

How do i convert this to V/m?
eg. 12345 V/m

I have checked everywhere

Thanks for any help

 

[waht]

What are the units of E = -46736i + 46736j -39546k given?

 

[Mene]

To convert the electric field strength in vector form to V/m, you need to use the following formula:

E = k * Q / r^2

where k is the Coulomb constant (8.99 x 10^9 N*m^2/C^2), Q is the charge of the point charge, and r is the distance between the point charge and the point where you want to calculate the electric field.

In this case, you have three point charges, so you need to calculate the electric field strength for each one separately and then add them together.

For example, let's say the first point charge has a charge of +2 C and is located at (1,0,0) in Cartesian coordinates. The distance between this point charge and the point where you want to calculate the electric field is r = sqrt(1^2 + 1^2 + 1^2) = sqrt(3).

Using the formula, the electric field strength at this point due to the first point charge would be:

E1 = (8.99 x 10^9) * (2) / (sqrt(3)^2) = 4.45 x 10^9 N/C

Similarly, you can calculate the electric field strength for the other two point charges and then add them together to get the total electric field strength at the point. Once you have the total electric field strength, you can convert it to V/m by dividing by the charge of the point charge at that point. So if the total electric field strength is 12345 N/C, and the charge at that point is +1 C, the electric field strength in V/m would be 12345 V/m.

I hope this helps! It's important to remember to always include units in your calculations and to double check your calculations to ensure accuracy. Good luck!