Part (B) How to find the direction ?! 26. A rectangular parallelepiped has dimensions a 2...
3. [2 points] A rectangular parallelepiped with dimensions a, b, c is filled with a dielectric in which the polarization is given by kr, where k is a constant with the appropriate units, and r is the position vector of a point in the dielectric with respect to the center of the parallelepiped (i.e., the center of the parallelepiped is at the origin, and the faces are parallel to the Cartesian axes). Calculate the bound surface charge density on the...
A rectangular coil consists of N = 170 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle 6 30.0° with the x axis (see figure below) ギ (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B 0.530 T directed in the positive x direction when the current is I 1.20 A...
Find the magnitude and direction of the resultant of A+B using Vector Addition by the Rectangular Component method. (Angles are in standard position.) A = 5.0 m/s at 45 deg B = 2.0 m/s at 180 deg
how do i solve this? Part I Angular Momentum 1. Find the angular momentum of a rectangular box (dimensions X XY) rotating about its center of mass (mass m). Assume the box has angular velocity w and the center of mass is located at the origin. If the rotation axis changes to the point (x, y) away from the center of mass how would the angular momentum change? Part I Angular Momentum 1. Find the angular momentum of a rectangular...
Problem 2 (1.1.5, 4 points): Find the rectangular parallelepiped of unit volume that has the minimum surface area. Hint: By eliminating one of the dimensions, show that the problem is equivalent to the minimization over > 0 and y > 0 of f(x,y) =xy +-+- Show that the sets {(x,y) I f(x,y) x > 0, y > 0} are compact for all scalars γ.
A rectangular loop of wire with dimensions 2.43 cm by 8.38 cm and resistance 0.593 Ω is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude 3.01 T and is directed into the plane of the following figure(Figure 1). Part A At the instant when the speed of the loop is 3.09 m/s and it is still partially in the field region, what is the magnitude of the force the magnetic field exert...
A rectangular loop consists of 120 closely wrapped turns and has dimensions 0.40 m by 0.30 m. The loop is hinged along the y-axis, and the plane of the coil makes an angle of 30.0° with the x-axis (see figure below). What is the magnitude of the torque exerted on the loop by a uniform magnetic field of 0.98 T directed along the x-axis, when the current in the windings has a value of 1.2 A in the direction shown?...
4. Consider the picture below a. Write the coefficients of vectors corresponding to . body diagonal face diagonal Find the norms of vectors corresponding to b. body diagonal .face diagonal Find the angle between a body diagonal of a cube and a face diagonal (like in the picture). Leave the answer in the form of inverse cosine of an exact number (possibly a square root). c. (0,0,0) 4. Consider the picture below a. Write the coefficients of vectors corresponding to...
M A rectangular coil consists of w 100 closely wrapped turns and has dimensions a 0.400 m and b 0.300 m The coil is hinged along the y axis, and its plane makes an angle 6 30.0 with the x axis (Fi P29.47). (a) What is the magnitude of the torque exerted on the coil by a uni- form magnetic field B 0.800 T directed in the positive x direction when the current is I 1.20 A in the direction...
A rectangular loop has dimensions 0.505 m by 0.260 m. The loop is hinged along the x-axis and lies in the xy-plane (see the figure below). A uniform magnetic field of 1.45 T is directed at an angle of 40.0° with respect to the positive y-axis and lies parallel everywhere to the yz-plane. The loop carries a current of 0.855 A in the direction shown. (Ignore gravitation.) (a) In what direction is magnetic force exerted on wire segment ab? direction...