please help me figure out this homework problem. thank you There is a region wit
ID: 2257347 • Letter: P
Question
please help me figure out this homework problem. thank you
There is a region with a constant magnetic field 4T. The magnetic field is directed out of the page. A conducting rod moves with a velocity of 2.38m/s , along a V shaped wire that is in the shape of a right triangle. At time = 0 s the rod is at the vertex of the triangle where the angle at the vertex is 20degrees. The right angle is where the conducting rod is. This means the rod is moving along the x axis and the rod is the y axis. What is the emf induced in the rod after it has moved from the vertex for a time of 9.6s ? What is the current induced in the rod if the resistance is 5.61 ohms ? What is the power in the rod?Explanation / Answer
a)v= dfi/dt= BdA/dt
=4* x^2*tan20/2dt
= 4*2xtan20/2*(dx/dt)
= 4*x*tan20*v
=4*(2.38*9.6)*2.38*tan20
= 79.168 V
b)79.168/5.61
= 14.11 A
c)P = I^2R
= 14.11^2*5.61
= 1117.22 W
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