(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem can be found http://whites.sdsmt.edu/classes/ee382/homework/382Homework3.pdf" [Broken]. It is the first one.

2. Relevant equations

[tex]V_{emf} = \oint_L (\vec{\boldsymbol u} \times \vec{\boldsymbol B}) \cdot d\vec{\boldsymbol l}[/tex]

3. The attempt at a solution

[tex]\vec{\boldsymbol u} = \rho\omega\hat{\boldsymbol a}_{\Phi}[/tex]

[tex]\vec{\boldsymbol B} = B_0\hat{\boldsymbol a}_{z}[/tex]

[tex]d\vec{\boldsymbol l} = d\rho\hat{\boldsymbol a}_{\rho}[/tex]

[tex]\vec{\boldsymbol u} \times \vec{\boldsymbol B} = \rho\omega\hat{\boldsymbol a}_{\Phi} \times B_{0}\hat{\boldsymbol a}_{z} = \rho\omegaB_{0}\hat{\boldsymbol a}_{\rho}[/tex]

[tex]V_{emf} = \oint_L(\vec{\boldsymbol u} \times \vec{\boldsymbol B}) \cdot d\vec{\boldsymbol l} = \oint_{L}\rho\omega B_{0}\hat{\boldsymbol a}_{\rho} \cdot d\rho\hat{\boldsymbol a}_{\rho} = \oint^{R}_{0}\rho\omega B_{0}d\rho = \omega B_{0}[\rho^{2}/2]^{R}_{0} = NB_{0}R^{2}/2[/tex]

I'm pretty certain that this answer is correct. What I'm uncertain of is the polarity of the voltage. Should I add a minus sign in front, or leave it as is?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Induced Voltage of Faraday's Disk

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**