Another example of motional emf is a rod attached at one end and rotating in a p

Question

Another example of motional emf is a rod attached at one end and rotating in a plane perpendicular to a uniform magnetic field. We can analyze this motional emf using Faraday's law. Consider the area that the rod sweeps out in each revolution and find the magnitude of the emf in terms of the angular frequency omega , the length of the rod R, and the strength of the uniform magnetic field B. Write the emf magnitude in terms of the speed v of the tip of the rod and compare this with motional emf magnitude of a rod moving at constant velocity perpendicular to a uniform magnetic field.

Explanation / Answer

Induced EMF   E = / t = B A/ t A = R2 * /2     (Note that if = 2 then A = R2 ) So E = B R2 / (2 t) = BR2 / 2= B R v / 2 This is 1/2 the value for a rod of length R moving in amagnetic field E = B R v

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.