A physics professor wants to demonstrate the large size of the henry unit. On th
ID: 2295516 • Letter: A
Question
A physics professor wants to demonstrate the large size of the henry unit. On the outside of a 16-cm-diameter plastic hollow tube, she wants to wind an air-filled solenoid with self-inductance of 1.0 H using copper wire with a 0.77-mm diameter. The solenoid is to be tightly wound with each turn touching its neighbor (the wire has a thin insulating layer on its surface so the neighboring turns are not in electrical contact). Part A How long will the plastic tube need to be? Express your answer to two significant figures and include the appropriate units. l =Part B How many kilometers of copper wire will be required? Express your answer using two significant figures. L =
km Part C What will be the resistance of this solenoid? Express your answer to two significant figures and include the appropriate units. R =
A physics professor wants to demonstrate the large size of the henry unit. On the outside of a 16-cm-diameter plastic hollow tube, she wants to wind an air-filled solenoid with self-inductance of 1.0 H using copper wire with a 0.77-mm diameter. The solenoid is to be tightly wound with each turn touching its neighbor (the wire has a thin insulating layer on its surface so the neighboring turns are not in electrical contact). A physics professor wants to demonstrate the large size of the henry unit. On the outside of a 16-cm-diameter plastic hollow tube, she wants to wind an air-filled solenoid with self-inductance of 1.0 H using copper wire with a 0.77-mm diameter. The solenoid is to be tightly wound with each turn touching its neighbor (the wire has a thin insulating layer on its surface so the neighboring turns are not in electrical contact). A physics professor wants to demonstrate the large size of the henry unit. On the outside of a 16-cm-diameter plastic hollow tube, she wants to wind an air-filled solenoid with self-inductance of 1.0 H using copper wire with a 0.77-mm diameter. The solenoid is to be tightly wound with each turn touching its neighbor (the wire has a thin insulating layer on its surface so the neighboring turns are not in electrical contact). Part A How long will the plastic tube need to be? Express your answer to two significant figures and include the appropriate units. l =
Part B How many kilometers of copper wire will be required? Express your answer using two significant figures. L =
km Part C What will be the resistance of this solenoid? Express your answer to two significant figures and include the appropriate units. R =
Part A How long will the plastic tube need to be? Express your answer to two significant figures and include the appropriate units. l =
Part B How many kilometers of copper wire will be required? Express your answer using two significant figures. L =
km Part C What will be the resistance of this solenoid? Express your answer to two significant figures and include the appropriate units. R =
Part A How long will the plastic tube need to be? Express your answer to two significant figures and include the appropriate units. l =
Part B How many kilometers of copper wire will be required? Express your answer using two significant figures. L =
km Part C What will be the resistance of this solenoid? Express your answer to two significant figures and include the appropriate units. R =
Part A How long will the plastic tube need to be? Express your answer to two significant figures and include the appropriate units. l =
Part A How long will the plastic tube need to be? Express your answer to two significant figures and include the appropriate units. l =
l =
l =
Part B How many kilometers of copper wire will be required? Express your answer using two significant figures. L =
km Part B How many kilometers of copper wire will be required? Express your answer using two significant figures. L =
km L =
km L =
km Part C What will be the resistance of this solenoid? Express your answer to two significant figures and include the appropriate units. R =
Part C What will be the resistance of this solenoid? Express your answer to two significant figures and include the appropriate units. R =
R =
R =
l =
Explanation / Answer
inductance = u N^2 A/L
if tightly wound, N = L/diameter
1 = 4*pi*10^(-7)*(L/0.77E-3)^2*pi*0.08^2/L
L=23 m
b) length of wire = 2 pi r N = 2*pi*0.08*(23/0.77E-3)= 15014 m = 15 km
c) R = rho L/A = 1.68E-8*15.0E3/(pi*(0.77E-3/2)^2)= 540 ohms
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