In the figure below, a long circular pipe with outside radius R = 2.52 cm carries a (uniformly distributed) current i = 11.9 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude of the net magnetic field at the center of the pipe is 3.50, but it has the opposite direction. Wire O R Pipe

The figure below shows three edge views of a square loop with sides of length ℓ = 0.255 m in a magnetic field of magnitude 2.50 T. Calculate the magnetic flux (in Wb) through the loop oriented perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field. Three figures show an x y coordinate plane with the +x-axis pointing to the right and the +y-axis pointing upward. A magnetic field labeled vector B points to the right in the positive x-direction. In each figure, a bar of length ℓ is shown in different orientations. In the first figure, the bar is oriented vertically, perpendicular to the magnetic field. In the second figure, the bar is tilted so that the top end is further right than the bottom end, making a 60.0° angle with the magnetic field. In the third figure, the bar is oriented horizontally, parallel to the magnetic field.   (a) perpendicular to the magnetic field  Wb   (b) 60.0° from the magnetic field  Wb   (c) parallel…

A uniform magnetic field passes through a horizontal circular wire loop at an angle 19.5° from the normal to the plane of the loop. The magnitude of the magnetic field is 4.75 T, and the radius of the wire loop is 0.240 m. Find the magnetic flux through the loop. $= Wb

The figure below shows three edge views of a square loop with sides of length ℓ = 0.375 m in a magnetic field of magnitude 1.75 T. Calculate the magnetic flux (in Wb) through the loop oriented perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field. Three figures show an x y coordinate plane with the +x-axis pointing to the right and the +y-axis pointing upward. A magnetic field labeled vector B points to the right in the positive x-direction. In each figure, a bar of length ℓ is shown in different orientations. In the first figure, the bar is oriented vertically, perpendicular to the magnetic field. In the second figure, the bar is tilted so that the top end is further right than the bottom end, making a 60.0° angle with the magnetic field. In the third figure, the bar is oriented horizontally, parallel to the magnetic field. (a)perpendicular to the magnetic field ??? Wb (b) 60.0° from the magnetic field  ??Wb (c)parallel to the…

In the figure below, the current in the long, straight wire is I1 = 5.00 A, and the wire lies in the plane of the rectangular loop, which carries 10.2 A. The dimensions shown are c = 0.100 m, a = 0.150 m, and script l = 0.450 m. Find the magnitude and direction of the net force exerted by the magnetic field due to the straight loop.