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1) A patient is immersed in a magnetic field of the form Bz = B0+Gx, where G = 10-4 T/cm. The axes are oriented as shown below. Which of the following statements is true? (Circle ALL that apply.)
2) You would like to set up your MRI scanner to first isolate coronal slices of the head as shown in the figure below. If Bx and By are both zero, write down the appropriate expression for Bz that will allow you to selectively flip (excite) magnetic dipole moments in individual slices along the y-axis with an oscillating field.
3) Three charged metal spheres of different radii are connected by a thin metal wire, which allows charge to flow between them. The potential and electric field at the surface of each sphere are Vi and Ei . Which of the following is true? please explain how.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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