Answer:
B = 4/3 ( i + j + k )
Explanation:
I = 3 k
L = 5 x 10⁻² m
F = - 0.2 i + 0.2 j
Let magnetic field be B
B = B₁ i + B₂ j + B₃ k
F = L ( I x B )
= 5 x 10⁻² 3 k x ( B₁ i + B₂ j + B₃ k )
= 15 x 10⁻² B₁ j - 15 x 10⁻² B₂ i
Given
F = - 0.2 i + 0.2 j
equating equal terms
15 x 10⁻² B₂ = .2
15 x 10⁻² B₁ = .2
B₁ = .02 / 15 x 10⁻² = 20 / 15 N
B₂ = .02 / 15 x 10⁻² = 20 / 15 N
Now wire is rotated so that current flows in positive x direction
I = 3 i
F = . 2 k
F = L ( I x B )
= 5 x 10⁻² x 3 i x ( B₁ i + B₂ j + B₃ k )
= 15 x 10⁻² B₃ k
15 x 10⁻² B₃ = .2
B₃ = .2 /15 x 10⁻²
B₃ = 20 /15
B = B₁ i + B₂ j + B₃ k
20 /15 9 ( i + j + k )
B = 4/3 ( i + j + k )
Answer:
Objects with mass exert forces on each other via the force of gravity. This force is proportional to the mass of the two interacting objects, and is inversely proportional to the square of the distance between them. The factors G, M, and r are the same for all masses at the surface of the Earth.
It's called condensation. That is what that wetness on the outside of the cup is.