Aroom has dimensions 3.00 m (height) 3.70 m 4.30 m. a fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) what is the magnitude of its displacement? (b) could the length of its path be less than this magnitude? (c) greater? (d) equal? (e) choose a suitable coordinate system and express the components of the displacement vector in that system in unit-vector notation. (f) if the fly walks, what is the length of the shortest path? (hint: this can be answered without calculus. the room is like a box. unfold its walls to flatten them into a plane.)

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: