It is impossible to have a uniform electric field that abruptly drops to zero in a region of space in which the magnetic field is constant and in which there are no electric charges. To prove this statement, use the method of contradiction: Assume that such a case is possible and then show that your assumption contradicts a law of nature.
(a) In the bottom half of a piece of paper, draw evenly spaced horizontal lines representing a uniform electric field to your right Use dashed lines to draw a rectangle abcda with horizontal side ab in the electric-field region and horizontal side cd in the top half of your paper where E = 0.
(b) Show that integration around your rectangle contradicts Faraday's law, Eq. (29.21).