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Two long coaxial solenoids each carry current I , but in

Chapter 5, Problem 16P

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QUESTION:

Two long coaxial solenoids each carry current I, but in opposite directions, as shown in Fig. 5.42. The inner solenoid (radius a) has n1 turns per unit length, and the outer one (radius b) has n2. Find B in each of the three regions: (i) inside the inner solenoid, (ii) between them, and (iii) outside both.

                                                Fig. 5.42

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QUESTION:

Two long coaxial solenoids each carry current I, but in opposite directions, as shown in Fig. 5.42. The inner solenoid (radius a) has n1 turns per unit length, and the outer one (radius b) has n2. Find B in each of the three regions: (i) inside the inner solenoid, (ii) between them, and (iii) outside both.

                                                Fig. 5.42

ANSWER:

Step 1 of 4

Given data:

  - Current through inner solenoid .

  - Current through outer solenoid .

  - Radius of inner solenoid .

  - Number of turns per unit length in inner solenoid .

  - Radius of outer solenoid .

  - Number of turns per unit length in outer solenoid .

The magnetic field inside the solenoid having  turns per unit length and carrying current  is given as,

Here,  is the permeability of free space.

As, no charge is enclosed outside the solenoid, therefore the magnetic field outside the solenoid is zero.

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