Question

A 10 m long steel beam is accidentally dropped by a construction crane from a height of 4.89 m. The horizontal component of the Earth’s magnetic field over the region is 12.4 µT. The acceleration of gravity is 9.8 m/s 2 . What is the induced emf in the beam just before impact with the Earth, assum

Answer 1

e = 1.21 mV

Step-by-step explanation:

given,

length of rod = 10 m

height of drop = 4.89 m

Earth’s magnetic field = 12.4 µT

acceleration of gravity = 9.8 m/s²

velocity of the beam

`v = √(2gh)`

`v = √(2* 9.8 * 4.89)`

v = 9.79 m/s

emf of the beam

e = B l v

e = 12.4 x 10⁻⁶ x 9.79 x 10

e = 1.21 x 10⁻³ V

e = 1.21 mV