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A velocity selector consists of electric and magnetic fields described by the expressions E= Ek and B= B ĵ, with B = 17.0 mT. Find the value of E such that a 800-eV electron moving in the negative x direction is undeflected.
kV/m
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- Given: B = 5 * 10-5 T ẑ; σ = 4 (Ohm-meters)-1 (conductivity) a) Assume that seawater is moving at a constant velocity v = v0 ŷ and that the Earth’s magnetic field is along the ẑ-direction. Calculate the electric current density J produced by the magnetic force. Hint: first compute the force per unit charge, F/q, and then use the relationship J = σ(F/q). b) Derive the equation of motion of a cylindrical differential volume element of base area δA and height δh parallelto the direction of J. Assume that seawater has a known volumetric mass density ρ. Show that this equation implies that the velocity satisfies the following differential equation:dvy/dt = vy/τwhere τ is a constant that you should write in terms of B, σ, and ρ.arrow_forwardCrossed electric and magnetic fields have magnitudes of 4.65 V/m and 74.5 mT. Find the speed at which electrons moving perpendicular to both fields can travel through them without being deflected?arrow_forwardA strip of copper is placed in a uniform magnetic field of magnitude 3.5 T. The Hall electric field is measured to be 2.0 x 10-3 V/m. (a) What is the drift speed of the conduction electrons m/s)? m/s (b) Assuming that n = 8.0 x 1028 electrons per cubic meter and that the cross-sectional area of the strip is 4.4 x 10-6 m², calculate the current in the strip (in A). (in m³/C)? nq (c) What is the Hall coefficient m3/carrow_forward
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