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 11 = 1.70 A, while the current in the inner solenoid is 12-3.49 A flowing in the opposite direction. The outer solenoid has 117 turns per centimeter, and the inner solenoid has 128 turns per centimeter Find the magnetic field strength in the region between the two solenoids. Enter your answer as a positive number if the field points up Submit Answer Tries 0/16 Find the magnetic field strength inside the inner solenoid. Enter your answer as a positive number if the field points up Submit Answer Tries 0/32

Explanation / Answer

For region inbetween two solenoids,

field due to innner solenoid in this region, B2 = 0

due to outer solenoid,

B1 = u0 n1 I1 upward  

B = B1 + B2 = (4 pi x 10^-7)(117/0.01) (1.70)

B = 0.025 T .......Ans

inside innner solenoid,

B1 = u0 n1 I1 upward

B2 = u0 n2 I2 donward

B = B1 - B2 = (4pi x 10^-7) ((117 x 10^2 x 1.70) - (128x 10^2 x 3.49))

B = - 0.0311 T .........Ans

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