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

Answer:

e = 1.21 mV

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                      

$v = \sqrt{2gh}$

$v = \sqrt{2\times 9.8 \times 4.89}$

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