What is radial component of the electric field at a point located at radius =1.7 cm, between the 2 conductors?

Question

A solid metal sphere of radius a = 1.30 cm is surrounded by a concentric spherical metal shell of inner radius b = 2.00 cm and outer radius c = 2.50 cm. The inner sphere has a net charge of Q1 = 3.20 μC, and the outer spherical shell has a net charge of Q2 = -8.30 μC. Er (electric field) is positive if it points outward, negative if it points inward. What is Er at a point located at radius r = 2.90 cm, i.e. outside the outer shell? What is the surface charge density, σb, on the inner surface of the outer spherical conductor? What is the surface charge density, σc, on the outer surface of the outer spherical conductor?

Answer 1

a) Radial Component = kQ1 / r^2



( 9x10^9 * 3.20x10^-6 ) / (0.017m)^2 = 9.97E7 N/C



b) Er at point located at radius r = 2.9cm



((Q1 + Q2) * K) / r^2



(((3.20+ (-8.3))x10^-6) * 9x10^9)/ (0.0290m)^2



-5.1x10^-6 * k / r^2 = -5.46 E7N/C



c) -Q1 / (4pi*b^2)



-3.2x10-6 / (4pi * (.02)^2) = -6.37 E-4 C/m^2



d) Q2-(-Q1) / (4pi * c^2)



-5.1x10^-6 / (4pi* (0.025^2) = -6.49 E-4 C/m^2

Answer 2

Radial Component

Answer 3

some good solutions here between some obtuse or maybe incorrect ones. specific to the precise wording of the question: the electrical powered field is going out from the cost, and would not loop returned upon itself. jointly as the magnetic field itself is created via shifting electric cost (yet not the static electric field created via a table certain cost!), and continuously loops returned upon itself. This latter assets is represented as one in all Maxwell's/Heavisides' Equations. The equation in question states that the divergence of a magnetic field is comparable to 0. This describes our modern-day expertise that the magnetic field or lines do not originate from a component cost, unlike an electric field. And that, returned, the magnetic field itself has no line ends, by using fact the lines (or field) continuously varieties a continuous loop returned upon itself.