Point charge induced current on a conducting ring

[Caltechian]

Hello,
I have a conducting copper ring of inner radius a and outer radius b.
point charges Q pass through the centre of this ring for time dt.
so I guess I'm suppose to get a step function of induced current or something similar.

1)what is the equation relating the charge Q to the induced current on the ring?
2)where should I place the contacts to measure the induced current (inner radius / middle/ outer radius of the ring)?
3)one of the contacts is placed on the ring and goes to the electro-meter, where does the other contact go to get an electrical circuit? grounded?
thank you,

 

[Greg Bernhardt]

I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?

 

[Caltechian]

Hello,
I have a conducting copper ring of inner radius a and outer radius b.
point charges Q pass through the centre of this ring for time dt.
so I guess I'm suppose to get a step function of induced current or something similar.

1)what is the equation relating the charge Q to the induced current on the ring?
2)where should I place the contacts to measure the induced current (inner radius / middle/ outer radius of the ring)?
3)one of the contacts is placed on the ring and goes to the electro-meter, where does the other contact go to get an electrical circuit? grounded?
thank you,

sketch attached.

 

[Philip Wood]

Do you imagine that a current is induced to flow around the ring, or what?

 

[sardar]

Hello,

1) The equation relating the charge Q to the induced current on the ring is given by Faraday's Law of Induction:
EMF = -NΔϕ/Δt, where EMF is the electromotive force (voltage), N is the number of turns in the ring, Δϕ is the change in magnetic flux through the ring, and Δt is the time interval. This can also be written as V = -L(dI/dt), where V is the induced voltage, L is the inductance of the ring, and dI/dt is the rate of change of current.

2) To measure the induced current, the contacts should be placed on the outer radius of the ring. This is because the induced current will flow on the surface of the ring, and placing the contacts on the outer radius will allow for more accurate measurement of the current.

3) The other contact can be connected to any point in the electrical circuit, as long as it completes the circuit. This can include grounding the other contact, connecting it to a battery, or connecting it to another component in the circuit. The specific placement of the other contact will depend on the specific circuit setup and the desired measurements.

I hope this helps clarify the relationship between point charges, induced current, and the conducting ring. Let me know if you have any further questions.