In a cartesian system, vector magnetic potential at a point (x,y,z ) is defined as A = 4x´ ya, + 2y´xa, – 3xyza, wb/m The magnetic flux density at point (1, 0, 0) will be - 2az -4az -2az -3ax+3ay-2az
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- A radial magnetic field exists in free space described by the following equation: H = 2.39 × 106 (cosº) a (cose)α₁ A/m ap Find the magnetic flux crossing the surface π bounded by -≤ ≤, and 0 ≤ z ≤ 1m at p = Po. 4In this example, we use = BA cos o to solve for the strength of a magnetic field. A plane surface with area 2.0 cm² is placed in a uniform magnetic field that is oriented at an angle of 30° to the surface. (a) What is the angle o? (b) If the magnetic flux through this area is 0.54 mWb, what is the magnitude of the magnetic field? 18 = B 30% For the same B and A, find the angle at which the flux would have one half the value given above (.e., the angle at which g2.7 x 10 Wb). Express your answer in degrees. Submit A ΠΑΠ ΑΣΦ 4 A C Demidn Enthaals Request Answer 60° ?A point charge q=1C is moving with velocity V = (9 km/s) i. What is the y component of the magnetic field (in units of millitesla) created at point P₂ = (r=-14 cm, y = 28 cm, z = 42 cm) when the point charge is at point P₁=(n=28 cm, y = 28 cm, z = -14 cm)? (Take Ho= 4 x 10-7 T-m/A.) O 14694 O 5.8776 29388 -2.9388 Ⓒ-1.4694
- A current of 30.0 mA is maintained in a single circular loop of 3.00 m circumference. A magnetic field of 0.850 T is directed parallel to the plane of the loop. (a) Calculate the magnetic moment of the loop. If you know the circumference of a circle, how do you find the area? mA · m2 (b) What is the magnitude of the torque exerted by the magnetic field on the loop? mN : mDetermine the torque acting on the rectangular loop of height l and width w in a constant external magnetic field B~ shown below with angle θ between the area vector and theexternal magnetic field. Show that the torque can be written as τ = m × B, where m = Ia is called magnetic dipole moment, I is the current in the loop, and a = wln is area vector for the area bounded by the loop. For this problem, take B = Bx and the sides of length l to be parallel and n perpendicular to the z-axis.A flat, rectangular surface with side lengths of 3.00 cm and 2.00 cm is in the xz-plane at y = 0. Calculate the magnitude of the flux through this surface produced by magnetic field B = (0.500 T)i - (0.300 T)j + (0.600 T)k. 3.60 x 10-4 Wb O-3.00 x 10-4 Wb -4.80 x 10-4 Wb 8.10 x 10-4 Wb -3.60 x 10-4 Wb 4.80 x 10-4 Wb -1.80 x 10-4 Wb 3.00 x 10-4 Wb 1.80 x 10-4 Wb -8.10 x 10-4 Wb
- A cube of edge length { = 6.0 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components B, 3D +3.0 Т, В, %3D +8.0 T, and B. z +5.0 T. %D y (a) Calculate the flux through the shaded face of the cube. T: m (b) What is the net flux emerging from the volume enclosed by the cube (i.e., the net flux through all six faces)? T.m2What is the magnitude of the magnetic field at point “P" which is located at a dis- tance of 0.50 m from the z axis? (in µT)In the figure, a conducting rectangular body of dimensions d, = 6.28 m., d, = 3.98 m. and d, = 1.37 m moves at constant velocity V %3D (23.5 m/s)i through a uniform magnetic fieldB =(45.2 mT)j. (a) What is the resulting electric field within the body, in unit-vector notation? (b) What is the resulting potential difference across the body? %3D
- A magnetic dipole moment of m = (7.50, -8.38, 4.59) Am² is inside a uniform magnetic field of B = (3.34, -6.77, 6.79) T. What is the potential energy of the dipole? (a) What is the angle between the magnetic dipole moment vector and the magnetic field vector? (b) What is the magnitude of the torque acting on the dipole?What is k r x w and t?A point charge Q moves on the x-axis in the positive direction with a speed of 280 m/s. A point P is on the y-axis at y=+70 mm. The magnetic field produced at the point P, as the charge moves through the origin, is equal to 0.3 µT along the negative z direction. What is the charae O? * (u0 = 47 × 10-7 T• m/A)