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The magnetic field measured with a Teslameter (or Gaussmeter) at the center of a solenoid is...

The magnetic field measured with a Teslameter (or Gaussmeter) at the center of a solenoid is 3.0 mT when a current of 0.3 A is flowing through it. The length of the solenoid is 15.0 cm.

(a) Calculate the number of turns in the solenoid.

(b) To produce magnetic field of 1.5 T at the center of the solenoid, how much current is needed?

(c) If the diameter of the solenoid is 5.0 cm and a 10-turn coil with average diameter 1.0 cm is placed coaxial with the solenoid at the center of the solenoid where the magnetic field will be uniform. Calculate the induced emf in the coil as the current in the solenoid is switched on in a time of 20 ms.
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