TFM
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Homework Statement
A long thin wire carries a charge \lambda per unit length
a) Use Gauss's Law on a cylinder to find magnitude of the E-Field at a distance from the centre of the wire
b) Show that the electric field components (using cartesian coordinates) are of the form:
E_x = \frac{A_0x}{r^2}<br /> <br /> E_y = \frac{A_0y}{r^2}<br /> <br /> A_0 = \frac{\lambda}{2\pi\epsilon_0}<br /> <br />
Homework Equations
Gauss Law:
\int_sE.dA=\frac{q}{\epsilon_0}
The Attempt at a Solution
I have the asnwer for a) to be
E = \frac{q}{\pi r^2 \epsilon_0}
But for B:
E_x = \frac{\lambda x}{2\pi epsilon_0}
But I get:
q = \lambda x
giving:
E = \frac{q<br /> \lambda x}{\pi r^2 \epsilon_0}
a factor of a half out.
Any ideas where I could have gone wrong?
TFM