In Figure 3 a circular loop of wire of radius R is initially located in the plane of the page while a uniform Magnetic field of magnitude 5 T is coming out the page in the 2 = (0,0,1) direction (represented by the "x""'s). At time t = 0 the loop begins to rotate in uniform circular motion such that the top begins moving out of the page and the bottom moves into the page with a frequency of 5 seconds (i.e. the loop has the same orientation as that at t=0). For arbitrary time t > 0 I. II. III. IV. Determine the unit normal of the area of the loop, ñ, as a function of time. Determine the vector describing the area of the loop, A. Determine the magnetic flux moving through the loop as a function of time. If current is allowed to move through the loop, determine the induced EMF in the conducting loop and the associated induced Electric field (make sure to explain the direction of the Electric field.)
In Figure 3 a circular loop of wire of radius R is initially located in the plane of the page while a uniform Magnetic field of magnitude 5 T is coming out the page in the 2 = (0,0,1) direction (represented by the "x""'s). At time t = 0 the loop begins to rotate in uniform circular motion such that the top begins moving out of the page and the bottom moves into the page with a frequency of 5 seconds (i.e. the loop has the same orientation as that at t=0). For arbitrary time t > 0 I. II. III. IV. Determine the unit normal of the area of the loop, ñ, as a function of time. Determine the vector describing the area of the loop, A. Determine the magnetic flux moving through the loop as a function of time. If current is allowed to move through the loop, determine the induced EMF in the conducting loop and the associated induced Electric field (make sure to explain the direction of the Electric field.)
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