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Two circular loops are parallel, coaxial...

Two circular loops are parallel, coaxial, and almost in contact ,1.00mm apart. Each loop is 10.0 cm in radius. The loop carries a counterclockwise current of 140A. (a) Calculate the magnetic force exerted by the bottom loop on the top loop. (b) The upper loop has a mass of 0.0210kg. Calculate its acceleration, assuming that the only forces acting on it are the force in part (a) and the gravitational force.

Text Solution

Verified by Experts

Model the two wires as straight parallel wires.
(a) `F_B=(mu_0I^2l)/(2pia)`

`F_B=((4pixx10^-7)(140)^2(2pi)(0.100))/(2pi(1.00xx10^-3))`
`=2.46N` upward
(b) `a_("loop")=(2.46N-m_("loop")g)/(m_(lo op))=107m//s^2` upward
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