Question 3: An equilateral triangle 8.0 cm on a side is in a 5.0 mT uniform magnetic field. The magnetic flux through the triangle is 6.0 μWb. Note that 1 Weber (Wb) is the SI unit for flux and equivalent to T m². What is the angle between the magnetic field and an axis perpendicular to the plane of the triangle?
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- Needs Complete typed solution with 100 % accuracy.A 3-D magnetic field vector with components of Bx = 3.34 mT; By = -10.3 mT; Bz = 4.13 mT such that the full vector in unit vector notation is written as .B=Bx i + By j + Bz k What is the magnitude of this vector in units of Tesla (the unit of magnetic field in SI units)?An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J = 2.5 A/m2 is uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J. Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r. Part (g) Express B in terms of J, a and r. Part (h) For r = 2 a, calculate the numerical value of B in Tesla. I already did the first few parts. I am most confused on parts e and g, how to derive the equations. Thanks so much!
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- A magnetic field directed into the page changes with time according to B = 0.031 ot² + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see figure below). xxxx vPg xxx xxx xxxx x Rx Bin P₁ (a) When t = 4.80 s and r₂ = 0.020 0 m, what is the magnitude of the electric field at point P₂? 0.00030 X Your response is off by a multiple of ten. N/C (b) When t = 4.80 s and r₂ = 0.020 0 m, what is the direction of the electric field at point P₂? perpendicular to r₂ and counterclockwise O into the page O out of the page. O perpendicular to ₂ and clockwiseA point charge Q moves on the x-axis in the positive direction with a speed of 644 m/s. A point P is on the y-axis at 43 mm. The magnetic field produced at point P, as the charge moves through the origin, is equal to -6.24 µT in the +z direction. When the charge is at x = 53 mm, what is the magnitude of the magnetic field at point P (in μ.)? μTAs shown in the a figure below, a straight wire carries an I = 9.97 A current along the positive y-direction, in the presence of an external uniform magnetic field B = 0.403 - 0.70k, where the units of the magnetic field are in T. If the wire experiences a force of magnitude 2.13 N as a result of the external magnetic field, how long is the wire, in units of meters? Please enter only the numerical value, and keep it to two decimal places, i.e., X.XX, and do not include units. kx z ₁ I