Problem 22.94 Consider a system consisting of two concentric solenoids, as illus

Question

Problem 22.94

Consider a system consisting of two concentric solenoids, as illustrated in the figure(Figure 1) . The current in the outer solenoid is I1=1.25A, and the current in the inner solenoid is I2=2.17A. The number of turns per centimeter is 105 for the outer solenoid and 125 for the inner solenoid.

a.) Find the magnitude of magnetic field between the solenoids.

Bnet = ______ mT

b.) Find the direction of magnetic field between the solenoids:

- To the left

- To the right

c.) Find the magnitude of magnetic field inside the inner solenoid.

Bnet=______ mT

d.) Find the direction of magnetic field inside the inner solenoid:

-To the left

-To the right

Thanks!

Problem 22.94

Consider a system consisting of two concentric solenoids, as illustrated in the figure(Figure 1) . The current in the outer solenoid is I1=1.25A, and the current in the inner solenoid is I2=2.17A. The number of turns per centimeter is 105 for the outer solenoid and 125 for the inner solenoid.

a.) Find the magnitude of magnetic field between the solenoids.

Bnet = ______ mT

b.) Find the direction of magnetic field between the solenoids:

- To the left

- To the right

c.) Find the magnitude of magnetic field inside the inner solenoid.

Bnet=______ mT

d.) Find the direction of magnetic field inside the inner solenoid:

-To the left

-To the right

Thanks!

Explanation / Answer

The magnetic field due to solenoid outside is zero.
hence,
a)  Find the magnitude of magnetic field between the solenoids.

Due to inner solenoid, magnetic field willbe zero

hence the net magnetic field will be: B = mu_0*n*I = 4pi*10^-7*10500*1.25 = 16.49 mT

b) Find the direction of magnetic field between the solenoids:

direction is towards the left

c) Find the magnitude of magnetic field inside the inner solenoid.

Magnetic field inside the inner solenoid will be due to both the solenoids.

Hence the net magnetic field B = 4pi*10^-7*(12500*2.17-10500*1.25) = 17.59 mT

d) Find the direction of magnetic field inside the inner solenoid:

direction willbe towards the right.

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