College Physics: Two very long solenoids (assume - infinitely long) were placed

Question

College Physics:

Two very long solenoids (assume - infinitely long) were placed one inside the other. The outer solenoid has n1 ; = 5050 turns per 1 m and the inside solenoid has n 2 = 8350 turns per 1 m. The two solenoids are connected in series, so the same current - 4 A is flowing in both coils, but in opposite directions. What is the absolute value of the magnetic field inside the inner coil? What is the absolute value of the magnetic field between the coils? The absolute value of the magnetic field inside the inner coil = T 0 attempt(s) made (maximum allowed for credit = 5) The absolute value of the magnetic field between the coils = T 0 attempt(s) made (maximum allowed for credit = 5)

Explanation / Answer

Magnetic field of infinite Solenoid = u*n*I

I = current

n = Turns/length

u = 4*pi*(10^ -7)

N1 = 8350

N2 = 5050

(a)B = u(N1 - N2)*I = 4*pi*(10^ -7)*(8350 - 5050)*4 = 1.66*(10^ -2) T

(b) B = u(N2)*I = 4*pi*(10^ -7)*(5050)*4 = 2.54*(10^ -2) T

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