Speed and Direction of Electron orbiting within a Solenoid

AI Thread Summary
The discussion revolves around calculating the speed and direction of an electron orbiting within a solenoid, where the electron's orbital diameter is 3.0 cm and the solenoid's diameter is 4 cm. Participants express uncertainty about how to approach the problem, questioning whether to use conservation of energy or to first determine the magnetic field (B field) of the solenoid. The relevant equations for the radius and period of the electron's motion are provided, along with a formula for the B field of the solenoid. There is a request for additional information, such as the current in the solenoid or answer choices, indicating that this may be a multiple-choice question. The discussion highlights the need for clarity on the problem's parameters to proceed with the calculations.
rodanme
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In Fig. 28.8, a view of the solenoid, showing the clockwise sense of the current in the windings, is given. An electron is in circular motion near the center of the solenoid, with an orbital diameter of 3.0 cm. The speed of the electron and the sense of the orbital motion are closest to

The diameter of the solenoid is 4 cm
The diameter of the e- orbiting within the solenoid is 3 cm

Homework Equations



r = mv/qb

T= (2*pi*m)/qb

The Attempt at a Solution



Not really sure how to start the problem.
Would I take a conservation of energy approach?
Do I need to try and figure out the B field of the solenoid?
 
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Start with finding the B field of the solenoid.

For the next step, consider that the electron is a charged particle that travels in that B field.
 
The Equation for B_solenoid = Mu_0 * I * n

how can I find the current of the solenoid?
 
They have to give the current, or they want the answer in terms of the current.

Judging by the problem statement, this looks like an MCQ problem. If so, do you have the answer list?

If not, do you have this figure 28.8?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

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