4w Motion of charged particles in E and B Fields Worksheet 051622

If the number density of electrons in a wire is n = 1.00 × 1028 m-3, at what drift velocity must they travel through a wire of diameter d = 0.520 mm to deliver a current of 2.90 A? Give your answer in mm s-1 to 3 significant figures. Take π = 3.14, and the magnitude of the charge on an electron e = 1.60 × 10-¹⁹ C Drift velocity: mm s-1

At room temperature (20°C) the electrical conductivity of Gallium phosphide (GaP) is 63 (2.m)–1, whereas the electron and hole mobility are 0.24 and 0.057 m²/V-s, respectively. a) Compute the intrinsic carrier concentration for GaP at room temperature, (q=1.6 x 10 -19 c). b) If the energy gap of GaP is 0.92 eV, calculate its conductivity at 70°C (k= 8.62 x 10 eV/K). -5

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The astronomical object 4U014 + 61 has the distinction of creating the most powerful magnetic field ever observed.This object is referred to as a “magnetar” (a subclass of pulsars),and its magnetic field is 1.3 * 1015 times greater than the Earth’smagnetic field. (a) Suppose a 2.5-m straight wire carrying a currentof 1.1 A is placed in this magnetic field at an angle of 65° to the field lines. What force does this wire experience? (b) A field thisstrong can significantly change the behavior of an atom. To seethis, consider an electron moving with a speed of 2.2 * 106m>s.Compare the maximum magnetic force exerted on the electronto the electric force a proton exerts on an electron in a hydrogenatom. The radius of the hydrogen atom is 5.29 * 10-11 m

A 4.0-nm-diameter protein is in a 0.050 M KCl solution at 25° C. The protein has 9 positive and 20 negative charges. Model the protein as a sphere with a uniform surface charge density. Part A What is the electric potential of the protein at the surface? Express your answer with the appropriate units. μA ? Vsurface = Value Units Submit Request Answer Part B What is the electric potential of the protein 2.0 nm from the surface? Express your answer with the appropriate units. με V2 nm = Value Units Submit Request Answer

In Niels Bohr's 1913 model of the atom, the electron is in a circular orbit around a nucleus. An electron is 5.70 x 10-11 m from a nucleus traveling in a circular orbit with a speed of 2.15 x 106 m/s. What is the magnitude of the magnetic moment due to the electron's motion?

In class we showed that for a Lennard-Jones 6/12 interatomic potential one would predict theideal strength of a material to be −2.69U 0 a03 , where U 0 is the bond energy and a0 is theequilibrium bond spacing. Based on the same assumptions, show that Young’s Modulus, E, isgiven by −72U 0 a03 . Assuming U 0 = −1 eV and a0 = 2 Å , provide an order of magnitudeestimate of E in GPa. (While both the predicted ideal strength and value of Young’s modulus area bit on the high side when using the Lennard-Jones 6/12 potential, their ratio (72/2.69 ≈ 27), isrepresentative of that for many materials. In other words, Young’s modulus can be expected tobe ~30 times the value of a material’s ideal strength, which is typically 10-100 times its actualyield strength, making values of Young’s modulus typically ~1,000 times the yield strength.

The free charge density in copper is 1.81x1010 C/m 3 . For a current density of 8x106A/m2, solve the electric field intensity and the drift velocity.Look at the table for more information.

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An electron has a constant acceleration of 3.2 m/s?, At a certain instant, its velocity is 9.6 m/s. The velocity of the electron 2.5 s earlier was

Assume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed × pulse duration = 50.0 m/s × 0.0020 s = 0.10 m). In the resting state, the outer surface of the axon wall is charged positively with k* ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in the figure below. Model the axon as a parallel-plate capacitor and take C = KEA/d and Q = CAV to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.4 x 10-8 m, axon radius r = 1.4 x 101 um, and cell-wall dielectric constant k = 2.2.