Write an expression for b⃗ (d), the magnetic field a distance d above the xy plane of the sheet. use μ0 for the permeability of free space. express the magnetic field as a vector in terms of any or all of the following: d, i, n, a, μ0, and the unit vectors i^, j^, and/or k^.

Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. a small hole is made in the side of each tank at the same depth 1.57 m below the liquid surface, but the hole in tank 2 has 2.49 times the cross-sectional area of the hole in tank 1. (a) what is the ratio ρ1/ρ2 of the densities of the liquids if the mass flow rate is the same for the two holes? (b) what is the ratio rv1/rv2 of the volume flow rates from the two tanks? (c) at one instant, the liquid in tank 1 is 14.9 cm above the hole. if the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?

Which of the following are considered noble gases? a. bromine b. neon c. argon d. chlorine

Which of the following statements accurately describes the sign of the work done on the box by the force of the push? a. positive b. negative c. zero