A non-conducting, non-magnetic cylindrical object of mass m and carrying a static charge of Q is placed inside a long solenoid that is carrying a constant current I. Both the solenoid and the cylindrical object are

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Scenario:**

A non-conducting, non-magnetic cylindrical object of mass \( m \) and carrying a static charge of \( Q \) is placed inside a long solenoid that is carrying a constant current \( I \).

Both the solenoid and the cylindrical object are motionless to begin with. Then, the current in the solenoid is reduced to \( I/2 \). The time it takes for the current to make this change is \( t \) seconds, and the cylindrical object begins to rotate, achieving a final angular speed of \( \omega \). Some time later, the current is restored back to \( I \). As before, the change from \( I/2 \) back to \( I \) also takes \( t \) seconds. What happens to the cylindrical object during the time that the current is being restored back to its original value?

**Options:**

- ∘ Its rotation speeds up until the angular speed reaches \( 2\omega \)
- ∘ The rotation of the cylindrical object maintains the same magnitude but reverses direction
- ∘ Its rotation slows and comes to a stop when the current gets back to its original value
- ∘ It continues to rotate in the same direction at an angular speed of \( \omega \)
Transcribed Image Text:**Scenario:** A non-conducting, non-magnetic cylindrical object of mass \( m \) and carrying a static charge of \( Q \) is placed inside a long solenoid that is carrying a constant current \( I \). Both the solenoid and the cylindrical object are motionless to begin with. Then, the current in the solenoid is reduced to \( I/2 \). The time it takes for the current to make this change is \( t \) seconds, and the cylindrical object begins to rotate, achieving a final angular speed of \( \omega \). Some time later, the current is restored back to \( I \). As before, the change from \( I/2 \) back to \( I \) also takes \( t \) seconds. What happens to the cylindrical object during the time that the current is being restored back to its original value? **Options:** - ∘ Its rotation speeds up until the angular speed reaches \( 2\omega \) - ∘ The rotation of the cylindrical object maintains the same magnitude but reverses direction - ∘ Its rotation slows and comes to a stop when the current gets back to its original value - ∘ It continues to rotate in the same direction at an angular speed of \( \omega \)
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