Determine the magnetic flux through the center leg in the geometry shown below. The structure is assumed to have a square cross section of area 100m2, a core with relative permeability 1000, and dimensions 1₁=1cm, 12=3cm and 13=2cm 10mA 2000 turns ↑ 1mm 12 13

Find the magnetic field at the center of a circular current carrying wire loop positioned in the xy plane. The radius of the loop is R, the current is counterclockwise. The magnitude of the magnetic field is ....Orl = 8 Use multiplication sign *. The magnetic field points in the . .direction. Answer 1: (You left this blank) Answer 2: (You left this blank)

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

Conceptual Example 4 provides background pertinent to this problem. An electron has a kinetic energy of 1.4x 10¹7J. It moves on a circular path that is perpendicular to a uniform magnetic field of magnitude -5 3.7 x 105 T. Determine the radius of the path. Your answer is partially correct. Conceptual Example 4 provides background pertinent to this problem. An electron has a kinetic energy of 1.4 x 10 17 J. It moves on a circular path that is perpendicular to a uniform magnetic field of magnitude 3.7 x 105 T. Determine the radius of the path.

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.

A charged nonconducting rod, with a length of 2.52 m and a cross-sectional area of 4.76 cm², lies along the positive side of an x axis with one end at the origin. The volume charge density p is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if p is (a) uniform, with a value of -4.66 µC/m³, and (b) nonuniform, with a value given by p= bx², where b = -2.18 µC/m²? (a) Number i (b) Number i Units Units

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Compute the planar density value for (1,-1,1) plane of BCC iron (Fe). Zfe=26Rfe=0.126nmAfe=55.845g/mol

Draw a free-body diagram of the ring at C. (Figure 1)Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The length of the vectors will not be graded.

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