A 2.25 meter rod is moving through a 0.200 T uniform magnetic field with a veloc

Question

A 2.25 meter rod is moving through a 0.200 T uniform magnetic field with a velocity of 1.50 meters per second. If the length of the rod, the velocity of the rod, and the magnetic field lines are all perpendicular to each other, find the induced emf on the metal rod. In aerospace applications, electricity is generated with a frequency of 400 Hz. Find the angular velocity for a 400 Hz nuclear generator aboard a typical US aircraft carrier in radians per second and rotations per minute (rpm). If this 400 Hz generator has 20 windings (loops) and a loop area of 0.250 square meters, find the peak emf generated if the wire loops are rotated through a magnetic field with a uniform strength of 0.150 T. Transformers on utility poles take higher voltages from distribution power lines and convert the voltage to a level suitable for residential applications. Suppose a distribution line carries 12 kV into the primary side of a transformer. What should the turns ratio of the transformer be in order to change 12 kV to 240 V? What type of transformer is this?

Explanation / Answer

(1) induced emf, e = B L v

= 0.20 x 1.40 x 2.25

= 0.675 Volt

(2) e = N A B w

= N A B (2 pi f)
  
= 20 x 0.250 x 0.150 x 2 x pi x 400

= 1885 Volt

(3) Ns / Np = Vs / Vp = 240 / (12 x 10^3)

= 0.02

this is stepdown transformer.

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