A cube of edge length ℓ = 4.60 cm is positioned as shown in the figure below. A uniform magnetic field given by  = (4.7 î + 4.0 ĵ + 3.0 ) T exists throughout the region. (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces?

A cube of edge length = 4.40 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (5.7 î+ 4.0 ĵ + 3.0 k) T exists throughout the region. # i (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb

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.)

A cube of edge length e = 6.0 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components B, = +7.0 T, B, = +2.0 T, and B, = +7.0 T. (a) Calculate the flux through the shaded face of the cube. T•m2 (b) What is the net flux emerging from the volume enclosed by the cube (i.e., the net flux through all six faces)? T•m²

A cube of edge length { = 3.00 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. -x (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb

Four long, parallel conductors carry equal currents of I = 4.17 A. The figure shown below is an end view of the conductors. The direction of the current is into the page at points A and B (indicated by the crosses) and out of the page at C and D (indicated by the dots). Calculate the magnitude and direction of the magnetic field at point P, located at the center of the square with edge of length 0.200 m. 23.7 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. µT direction downward A (x 10.200 m B(x 0.200 m

Consider the cylindrical conductor with a hollow center and copper walls of thickness b-a as shown. The radii of the inner and outer walls are a and b respectively. and the current I is uniformly spread over the cross section of the copper (shaded region). What is the magnitude of the magnetic field in units of nT at r- 24.1cm. a=13cm, b=30.5cm, 7- 200mA, Hom4 x 10 Tm/A. Provide your answer with two decimal places. A -- 01 (out of page)