Arectangular loop of wire with sides 0.240 and 0.554 m lies in a plane perpendicular to a constant magnetic field (see part a of the drawing). the magnetic field has a magnitude of 0.579 t and is directed parallel to the normal of the loop's surface. in a time of 0.117 s, one-half of the loop is then folded back onto the other half, as indicated in part b of the drawing. determine the magnitude of the average emf induced in the loop.

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.