Edit View History Bookmarks Window Help Ch 30 Hw C) 5 of Problem 30.11 Constants

Question

Edit View History Bookmarks Window Help Ch 30 Hw C) 5 of Problem 30.11 Constants Perodic Table Part A To demonstrate the large size of the henry unit, a physics professor wants to wind an air-filed solenoid with self-inductance of 1 .0 H on the outside of a 15 cm diameter plastic hollow tube using copper wiee with a 0.75 mm diameter. The solenoid is to be ighty wound with each tum touching its neighbor (the wire has a thin insulating layer on its surface so the neighboring turns are not n electrical contact) How long will the plastic tube need to be? Express your answer to two significant figures and include the appropriate units. ValueUnits Submit Request Answer Part B How many kilometers of copper wire will be required? Express your answer to two significant figures and include the appropriate units. LValue Units Submit Request Answer Part C

Explanation / Answer

a) inductance = uo N^2 A/L

if tightly wound, N = L/diameter

1 = 4*pi*10^(-7)*(L/0.75E-3)^2*pi*0.075^2/L

L = 25.33 m

b) length of wire = 2 pi r N = 2*pi*0.075*(25.33/0.75E-3)= 15915.31 m = 15.91 km

c) R = rho L/A = 1.68E-8*15.91E3/( pi*(0.75E-3/2)^2)= 605.22 ohms

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