Consider a system consisting of two long, concentric solenoids, as shown below i

Question

Consider a system consisting of two long, concentric solenoids, as shown below in cross section. The current in the outer solenoid is I1 = 1.20 A, while the current in the inner solenoid is I2 = 1.68 A flowing in the opposite direction. The outer solenoid has 115 turns per centimeter, and the inner solenoid has 140 turns per centimeter.

A) Find the magnetic field strength in the region between the two solenoids. Enter your answer as a positive number if the field points up.

B) Find the magnetic field strength inside the inner solenoid. Enter your answer as a positive number if the field points up.

Explanation / Answer

here

N1 = 115 turns /cm

N2 = 140 turns/cm

then by using

Bouter = u0 * N1 * I

Bouter = 4 * 3.14 * 10^-7 * 1.15 * 1.20

Bouter = 17.3 T

then

Binner = u0 * N2 * I

Binner = 4 * 3.14 * 10^-7 * 1.4 * 1.68

Binner = 29.5 T

then

B = Binner - Bouter

B = 29.5 -17.3

B = 12.2 T

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