- #1
freshcoast
- 185
- 1
1. Problem statement.
2. Known equations.
E = k § dq/r^2
Lamda = Q/L
3. Attempt.
I am having trouble figuring out the dq in this situation. I know that lamda = Q/L, and since those 2 are the variables that are changing I take the derivative of them so it looks like
Lamda = dq/dL
I solve for dq giving me dq = lamda * dL
Which is where I am stuck. When I enter the new dq into the integral for the electric field, I do not know what to use for the r^2, I am aware that L=R(theta) but I am having trouble being able to manipulate R in terms of L since the only way is having a theta into the integral, but I can't integrate it because the bounds are going to be the length of the rod..
Any input is much appreciated, thanks!
2. Known equations.
E = k § dq/r^2
Lamda = Q/L
3. Attempt.
I am having trouble figuring out the dq in this situation. I know that lamda = Q/L, and since those 2 are the variables that are changing I take the derivative of them so it looks like
Lamda = dq/dL
I solve for dq giving me dq = lamda * dL
Which is where I am stuck. When I enter the new dq into the integral for the electric field, I do not know what to use for the r^2, I am aware that L=R(theta) but I am having trouble being able to manipulate R in terms of L since the only way is having a theta into the integral, but I can't integrate it because the bounds are going to be the length of the rod..
Any input is much appreciated, thanks!