An electrician finds that a 1 m length of a certain type of wire has a resistance of 0.24 Ω . What is the total resistance of the 138 m of this wire he plans to use? Answer in units of Ω.

The resistance of a given conductor depends on its electrical resistivity (), its length(L) and its cross-sectional area (A), as follows:

In this case, we have , and . So, the total resistance of the wire with length of 138m is:

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:

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