What is the Induced Current in the Second Coil?

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Homework Help Overview

The problem involves mutual inductance between two coils, with a focus on calculating the induced current in the second coil due to a changing current in the first coil. The parameters include the mutual inductance value, the initial and final currents in the first coil, the time interval for the change, and the resistance of the second coil.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the mutual inductance formula and the relationship between voltage, current, and resistance. There are attempts to clarify the calculations for induced voltage and current, with some participants questioning the accuracy of their results.

Discussion Status

The discussion is ongoing, with participants sharing their attempts at calculations and expressing confusion over differing results. Some guidance has been offered regarding the need to show work for further assistance, and there is a recognition of the importance of clarity in the problem setup.

Contextual Notes

Participants are encouraged to provide their calculations and reasoning as part of the forum's rules, which may affect the flow of the discussion. There is an emphasis on the need for clear communication of attempts to facilitate better guidance.

cashcabwatche
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Homework Statement


The mutual inductance between two coils is 0.0100 H. The current in the first coil changes uniformly from 2.7 A to 5.0 A in 0.160 s. If the second coil has a resistance of 0.600 Ω, what is the magnitude of the induced current in the second coil?

Please show steps

Homework Equations


I=V/R
V=M(di/dt)

The Attempt at a Solution


I tried everything but I still couldn't figure out the magnitude of the induced current in the second coil

What I did first is I solved for V_2 using M(di_1/dt)
di_1=(5-2.7)=2.3 A
dt =0.16 s
M=.01 H
and I got V_2 to be around .14

then once I got V_2 I divided it by .6 and got I to be around .23A but my friend keeps on getting the answer to be .344 A
 
Last edited:
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cashcabwatche said:

Homework Statement


The mutual inductance between two coils is 0.0100 H. The current in the first coil changes uniformly from 2.7 A to 5.0 A in 0.160 s. If the second coil has a resistance of 0.600 Ω, what is the magnitude of the induced current in the second coil?

Please show steps


Homework Equations


I=V/R
V=M(di/dt)


The Attempt at a Solution


I tried everything but I still couldn't figure out the magnitude of the induced current in the second coil

Welcome to the PF. Please show us what you have tried so far, and we can offer some hints after seeing some of your work.
 
How about we change V=M(dI/dt) to this

V = M( \frac{Change \ in \ Current}{Change \ in \ time})
 
See I tried that and still got the answer I'm getting
 
cashcabwatche said:
See I tried that and still got the answer I'm getting

I will say this one more time. You need to show us your work before we can offer tutorial help. That's part of the PF Rules (see the link at the top of the page).

EDIT -- Oh, I see you went back and edited your original post (OP) to show some work. Pretty stealthy. It's usually better to just post the new work as a new post. Let me go back and take a look...
 
I already did show work!
 
cashcabwatche said:
See I tried that and still got the answer I'm getting

Well your method looks correct to me.
 

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