A copper wire of radius 0.50mm has a total charge of 20.0nCalong its lenght of 1

Question

A copper wire of radius 0.50mm has a total charge of 20.0nCalong its lenght of 10.0cm. Find the electrical field(magnitude anddirection) at radial distances from the center of the wireof: (a) 0.30mm (b) 0.50mm (c)1.00mm I used eq. E_plane=n/2epsilon_0=Q/2epsilon_0AL. Thensubstituted the circumference of a circle 2piR for the A. Istandarized all the measurements then calculated the eq. answers: (a) 5.9*10^6 C/C^2m^2/Nm^s     (unitscanceled down to N/m) (b) 3.59*10^6 N/m (c) 1.79*10^6 N/m Can you verify this is the correct approach to this problem.Thanks A copper wire of radius 0.50mm has a total charge of 20.0nCalong its lenght of 10.0cm. Find the electrical field(magnitude anddirection) at radial distances from the center of the wireof: (a) 0.30mm (b) 0.50mm (c)1.00mm I used eq. E_plane=n/2epsilon_0=Q/2epsilon_0AL. Thensubstituted the circumference of a circle 2piR for the A. Istandarized all the measurements then calculated the eq. answers: (a) 5.9*10^6 C/C^2m^2/Nm^s     (unitscanceled down to N/m) (b) 3.59*10^6 N/m (c) 1.79*10^6 N/m Can you verify this is the correct approach to this problem.Thanks

Explanation / Answer

Use Gauss Law = Q / 0 E A = V / 0 2 R L E (Gaussian surface) = r2 L / 0 (charge enclosed incylinder of radius r) E = r2 / (2R)         R is radius ofGaussian surface r = R for the values of .3 mm and .5 mm = 2 * 10E-8 / [ * (5 *10E-4)2 *.1]

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