B

A cube of edge length = 5.00 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (4.9 î+ 4.0 ĵ + 3.0 k) T exists throughout the region. y l B (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb

A cube of edge length = 4.60 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (6.5 î+ 4.0 ĵ + 3.0 k) T exists throughout the region. B # i (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb

(a) A conducting loop in the shape of a square of edge length ℓ = 0.460 m carries a current I = 8.00 A as in the figure above. Calculate the magnitude and direction of the magnetic field at the center of the square. magnitude  µT direction         (b) If this conductor is reshaped to form a circular loop and carries the same current, what is the value of the magnetic field at the center? magnitude  µT direction

Two wires, parallel to a z axis and a distance 4.60 m apart, carry equal currents 3.61 A in opposite directions, as shown in the figure. A circular cylinder of radius 1.15 m and length 8.27 m has its axis on the z axis, midway between the wires. Use Gauss' law for magnetism to find the net outward magnetic flux through the half of the cylindrical surface above the x axis. (Hint: Find the flux through the portion of the xz plane that lies within the cylinder.)

Three long, parallel conductors each carry a current of I = 2.40 A. The figure below is an end view of the conductors, with each current coming out of the page. Taking a = 1.20 cm, determine the magnitude and direction of the magnetic field at the following points.   (a) point A magnitude  µT direction          (b) point B magnitude  µT direction          (c) point C magnitude  µT direction

A five-sided object, whose dimensions are shown in the drawing, is placed in a uniform magnetic field. The magnetic field has a magnitude of 0.22 T and points along the positive y direction. Determine the magnetic flux through each of the five sides. 0.30 m (b) The flux through the back triangular surface is (c) The flux through the bottom surface is 1.2 m (a) The flux through the front triangular surface is Number 0.40 m Number Number (d) The flux through the 1.2 m by 0.50 m surface is Number (e) The flux through the 1.2 m by 0.30 m surface is Number i i i i i 0.50 m T Units Units Units Units Units > >