Crocodiles are thought to be able to detect changes in the flux due to Earth’s magnetic field as they move their heads. Suppose a crocodile is initially facing north. The horizontal component of Earth’s magnetic field is 30 μT. Consider a vertical, circular loop of neurons inside the crocodile’s head with radius 12 cm. The loop is initially perpendicular to the horizontal component of Earth’s magnetic field. The crocodile rotates its head 90° until it is facing east in a time interval of 2.7 s. What is the average emf induced around this loop of neurons?