6 IENVE_Elect and Magn__Electromagnetic Induction_ 2014 vrs02a
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<strong>Elect</strong>romagnetic <strong>Induction</strong><br />
• Rotating conductor loop. AC<br />
generator<br />
<br />
<br />
<br />
<br />
<br />
Let us consider a simple<br />
conductor loop adjusted in<br />
a uniform magnetic field<br />
The loop has central axis<br />
as shown in figure<br />
Suppose that the loop is<br />
rotating with a angular<br />
velocity w<br />
Angular velosity w = Dq/Dt<br />
<strong>and</strong> hence Dq =w Dt<br />
• Suppose that t = 0,<br />
when q =0<br />
• Then at time t= t it<br />
is q = wt<br />
What is the voltage V<br />
across the end of the<br />
loop? Now V = emf !<br />
Based on Faraday’s<br />
induction law<br />
•<br />
N<br />
E =<br />
E =<br />
=<br />
A<br />
w<br />
S<br />
V<br />
dΦB<br />
- N<br />
dt<br />
d( BA cos t)<br />
-<br />
dt<br />
BAd(<br />
cos t)<br />
-<br />
dt<br />
<strong>and</strong> then<br />
E = BA<br />
sint<br />
21.2.<strong>2014</strong> Jarmo Lilja TAMK Fysiikan laitos 12
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