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ex81
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Charged Particle thread with linear charge force
A uniformly charged thread with linear charge density 5 C/m lies along the curve y = (3/m) x^2 for 0≤x7m. The y component of the electric force it exerts on a 6 C point charge located at (3m, 0m, 2m) is given by:
line integral equation
∫ f(x, f(x)) √([x(t)]^2 +[y(t)]^2)
fyi, the x(t), and y(t) are both derivatives, I just didn't see the symbol
F = k Qq /r^2
As written I'm assuming that both charges are supposed to be positive. So they will be pushing away from each other. Since it is a point vs a thread, the force of the thread against the point will not create a secondary equation.
I'm not exactly sure where to go.
My point of integration will be very likely be from 0 to 7 as that is the value of x.
Homework Statement
A uniformly charged thread with linear charge density 5 C/m lies along the curve y = (3/m) x^2 for 0≤x7m. The y component of the electric force it exerts on a 6 C point charge located at (3m, 0m, 2m) is given by:
Homework Equations
line integral equation
∫ f(x, f(x)) √([x(t)]^2 +[y(t)]^2)
fyi, the x(t), and y(t) are both derivatives, I just didn't see the symbol
F = k Qq /r^2
The Attempt at a Solution
As written I'm assuming that both charges are supposed to be positive. So they will be pushing away from each other. Since it is a point vs a thread, the force of the thread against the point will not create a secondary equation.
I'm not exactly sure where to go.
My point of integration will be very likely be from 0 to 7 as that is the value of x.
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