Consider a large solenoid with parameters turns nl, radius rl, and length ll. the solenoid carries a current of il. inside the large solenoid is a smaller solenoid with parameters, turns ns, radius rs, and length ls. this would be the situation if i placed the tennis ball can solenoid in the sewer pipe solenoid. in all parts, write the expressions in terms of the quantities given above and the quantities introduced in part ()[2 pt(s) ]calculate the symbolic expression for the magnetic field of the large solenoid.(b)[2 pt(s) ]calculate the magnetic flux through the small solenoid due to the magnetic field produced by the large solenoid.(c)[4 pt(s) ]if the current through the large solenoid changes with time by the function il(t) = i0 sin ωt, calculate the emf induced in the small solenoid.(d)[1 pt(s) ]what is the physical law you used in the calculation in ()[2 pt(s) ]calculate the mutual inductance between the large and small solenoid. note what we have done here is build an air filled step down transformer.

Part f - example: finding two forces (part i) two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. the block in (figure 1) has a mass m=10kg and is being pulled by a force f on a table with coefficient of static friction îľs=0.3. four forces act on it: the applied force f (directed î¸=30â above the horizontal). the force of gravity fg=mg (directly down, where g=9.8m/s2). the normal force n (directly up). the force of static friction fs (directly left, opposing any potential motion). if we want to find the size of the force necessary to just barely overcome static friction (in which case fs=îľsn), we use the condition that the sum of the forces in both directions must be 0. using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as: fcosî¸â’îľsn=0 fsinî¸+nâ’mg=0 in order to find the magnitude of force f, we have to solve a system of two equations with both f and the normal force n unknown. use the methods we have learned to find an expression for f in terms of m, g, î¸, and îľs (no n).

Electroplating is a way to coat a complex metal object with a very thin (and hence inexpensive) layer of a precious metal, such as silver or gold. in essence the metal object is made the cathode of an electrolytic cell in which the precious metal cations are dissolved in aqueous solution. suppose a current of 480.ma is passed through an electroplating cell with an aqueous solution of agno3 in the cathode compartment for 46.0 seconds. calculate the mass of pure silver deposited on a metal object made into the cathode of the cell. round your answer to 3 significant digits. also, be sure your answer contains a unit symbol. ×10μ

Gas cloud 1 is likely to form a star. gas cloud 2 is not. based on this information, match the given conditions with each cloud