Question

A very long, thin rod carries electric charge with the linear density 32.0 nC/m. It les along the x axis and moves in the x direction at a speed of 15.0 Mm/s. (a) Find the electric field the rod creates at the point (0, 22.0 cm, 0) Magnitude N/C DirectionSelect--- (b) Find the magnetic field it creates at the same point. Magnitude: Direction: --Select (c) Find the force exerted on an electron at this point, moving with a velocity of 240 i Mm/s Magnitude: Direction:Select-

Answer 1

(a) The very long rod creates the same electric field that it would if stationary. We apply Gauss's law to a cylinder, concentric with the rod, of radius r= 22.0 cm and length f: 0 E(2t rl)cos 0°- 0 radially outward 32.0 x 109 C/m 2T8.85x10-12 C2/N m2)(0.220 m) = | 2.62 x 101 N/C (b) The charge in motion constitutes a current of ( 32.0x 10° C/m) x(15.0 x106 m/s) 0.480 A This current creates a magnetic field B- Pol 2Tr 4T x 10-7 T.m/A)(0.480 A) 2Tt(0.220 m) k-1436 k × 10-7 T

(c) The Lorentz force on the electron is F = qE + qv × B. F-(-1.60 × 10-19 C)| 2.62x 103j N/C + (-1.60 × 10-19 C) (240 × 106i m/s ×14.36× 10-7 k T F-420x10 16(4) N. 1.67 ×1017(. ) N F- 4.20x 1016i N+ 1,67 x10-17 +j N 4.03-10-16 N

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