# Rotating loop in magnetic field

#### Tekee

1. 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?

2. Homework Equations

Unsure

3. 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...

Related Introductory Physics Homework Help News on Phys.org

#### rock.freak667

Homework Helper
Tekee;2621503 [b said:
3. The Attempt at a Solution [/b]

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?