Rotating loop in magnetic field

[Tekee]

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...

 

[rock.freak667]

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 'V_rms'?

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