To ignite a mixture of gasoline and air inside an internal combustion engine--like in your car--a spark is generated by a high voltage across the spark plug, usually in the 10's of thousands of volts, but the battery is only 12 V. This massive increase in voltage is achieved through a transformer called the 'ignition coil'. A typical ignition coil has a primary with 300 turns wrapped around a radius of 2 cm over a linear distance of 15 cm . The secondary has 60,000 turns of wire over the same cylinder. The spark is generated when the current is suddenly shut off to the coil. Assuming that the magnetic field is uniform inside the primary and secondary, and that all of the magnetic field lines that go through the primary go through the secondary, what voltage is generated in the secondary coil if the current drops from 10 A to 0 A at a steady rate over the course of 50 mirco-seconds? Give your answer to 2 significant digits.
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