Rotating loop in magnetic field

AI Thread Summary
The discussion revolves around calculating the strength of a magnetic field (B) affecting a rotating rectangular wire loop. The loop has dimensions of 20 cm by 30 cm and rotates at 50 rad/sec, with a resistance of 36 Ω. The induced rms current is given as 0.04 A, leading to a calculated rms voltage of 1.44 V. Participants emphasize the need to use Faraday's law of electromagnetic induction to relate the induced emf to the magnetic flux and the loop's area. The conversation highlights the importance of understanding the relationship between rms and peak voltage in this context.
Tekee
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Homework Statement



A single-turn rectangular wire loop of size 20 cm × 30 cm rotates at a uniform rate of ω = 50 rad/sec around the z-axis as shown. There is a uniform magnetic field B in the +y-direction. The loop has a total resistance of R = 36 Ω.

If the induced rms current in the loop is 0.04 A, what is the strength of the magnetic field B?

Homework Equations



Unsure

The Attempt at a Solution



I figure that the V will be .04 x 36, or 1.44 Amps. I know that there is probably an equation I can use where I can plug in emf, w, B, and A, although I have no idea what that is...
 
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Tekee;2621503 [h2 said:
The Attempt at a Solution[/h2]

I figure that the V will be .04 x 36, or 1.44 Amps. I know that there is probably an equation I can use where I can plug in emf, w, B, and A, although I have no idea what that is...

Multiplying 0.04 and 36 will give you the rms voltage. You want the peak voltage. How does the peak voltage 'V0' relate to the rms voltage 'Vrms'?

To get 'B', recall Faraday's law of electromagnetic induction. What would be the expression for the magnetic flux Φ?
 

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