Question

placed inside the s...
Consider a long solenoid of radius a and a long

straight thin insulating wire placed inside the
solenoid parallel to its axis at a distance r 0 away from the axis. Suppose the solenoid carries a
current I and the wire carries a uniform charge density λ.
(a) Calculate the angular momentum per unit length of this system: (i) about the axis of the
solenoid, (ii) about the wire.
(b) If we change the current in the solenoid, how would it affect the momentum of this system.
Suppose the solenoid is fixed but the wire is free to move.
Caution 1: The “system” above consists of the fields, solenoid and wire.
Hint: You can use cylindrical coordinates, choose axis wisely.
Caution 2: You need to understand the unit vectors in cylindrical coordinates.
Caution 3: Angular momentum is always defined with respect to an axis. The same object can
have different angular momenta about different axes

Answer 1

Answer:

straight thin insulating wire placed inside the

solenoid parallel to its axis at a distance r 0 away from the axis. Suppose the solenoid carries a

current I and the wire carries a uniform charge density λ.

(a) Calculate the angular momentum per unit length of this system: (i) about the axis of the

solenoid, (ii) about the wire.

(b) If we change the current in the solenoid, how would it affect the momentum of this system.

Suppose the solenoid is fixed but the wire is free to move.

Caution 1: The “system” above consists of the fields, solenoid and wire.

Hint: You can use cylindrical coordinates, choose axis wisely.

Caution 2: You need to understand the unit vectors in cylindrical coordinates

Explanation:

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