A rod with mass m=9.00kg, shown in blue, forms a conducting loop with a wire(shown in black).The rod has resistance R = 100 mΩ (the resistance in the other edges of the loop can be neglected). A uniform magnetic field with magnitude B = 750 mT is directed into the page. The side edges are separated by a distance L = 1.25 m. a) As the rod falls under the influence of gravity, its velocity v increases and a current is induced in the loop. Which way will the current flow (clockwise or counter-clockwise) and why? (b) There will be a force on the rod due to the current in the rod and the magnetic field. Which way will this force point (up, down, left, right, into the page, or out of the page) and why? (c) If the rod has a speed of 4.90m/s, what will be the magnitude of the force from part(b)? (d) At what speed will the rod need to be traveling for the force from part(b) to exactly equal the weight (W = mg where g = 9.81 m/s^2) of the rod?
A rod with mass m=9.00kg, shown in blue, forms a
with magnitude B = 750 mT is directed into the page. The side edges are separated by a distance L = 1.25 m.
a) As the rod falls under the influence of gravity, its velocity v increases and a current is induced in the loop. Which way will the current flow (clockwise or counter-clockwise) and why?
(b) There will be a force on the rod due to the current in the rod and the magnetic field. Which way will this force point (up, down, left, right, into the page, or out of the page) and why?
(c) If the rod has a speed of 4.90m/s, what will be the magnitude of the force from part(b)?
(d) At what speed will the rod need to be traveling for the force from part(b) to exactly equal the weight
(W = mg where g = 9.81 m/s^2) of the rod?
Step by step
Solved in 3 steps with 3 images
