Three states in a thermodynamic process are defined by p1 = 1 bar and v1 = 2 l, p2 = 20 bar and v2 = 0.2 l, and p3 = 4 bar and v3 = 1 l. the quantity β is defined for the path of integration 1-2-3 by: = − ∫ p 2 1 − ∫ p 3 2 determine β (expressed in units of joules) connecting states 1 and 2 with a linear p-v process and connecting states 2 and 3 with a polytropic process. remember that a polytropic process is one that can be described by the following relationship:

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:

dopamine..

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answer: 2×10^-2kg

explanation: density= mass per volume

vol=mass/density

converting to s.i units we have;

3÷1000kg = 0.003

1.5÷100m = 0.15

0.003/0.15 = 0.02kg