1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...

1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ... 1 Termodinamika és optika gyakorlat II. éves fizikushallgatók ...

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§ ¥ ¥ H → 0 C0 = B/T 2 B ¥ T1 H1 H2 < H1 ¥ U M CM = ∂U (M, T ) ∂T H M CH = CM + µ0CV H 2 ¥ dT = µ0CV H CH T 2 = ∂U (T ) 1 dH = T T ∂T = C0. = B + µ0CV H2 T 2 . µ0CV H dH. B + µ0CV H2 T (H) dT T = H dH. B/ (µ0CV ) + H2 T2 < T1 x a 2 +x 2 = 1 2 ln a 2 + x 2 T2 = T1 B + µ0CV H2 2 B + µ0CV H2 . 1 H2 < H1 B ≪ µ0CV H2 2 H1 T2 ≈ T1 H2

¨¤ § ¥§ ¥ r £ d n > 1 θ r § sin θ = r r+d r 1 > r + d n , r > d n − 1 d sin θ > 1/n § z n(z) z θ(z) § ¥ z0 θ(z0) n ∝ √ ρ ρ § z0 z0 +∆z § ∆θ z0 z0+∆z0 R(z0) = | lim∆z→0(∆l/∆θ)| ∆l z0 ∆l R(z0) = lim ∆z ∆l 1 ∆z→0 ∆z ∆θ = lim ∆z→0 ∆z |θ ′ (z0)| . lim ∆z→0 ∆l = ∆z 1 cos[θ(z0)] .

¨¤<br />

<br />

§<br />

<br />

¥§<br />

¥<br />

r £ d<br />

n > 1<br />

<br />

θ<br />

r<br />

<br />

§<br />

<br />

sin θ = r<br />

r+d<br />

<br />

<br />

<br />

<br />

r 1<br />

><br />

r + d n , r > d<br />

n − 1<br />

d<br />

<br />

sin θ > 1/n <br />

§<br />

<br />

z n(z)<br />

z θ(z)<br />

§ <br />

¥<br />

z0<br />

θ(z0)<br />

n ∝ √ ρ ρ <br />

<br />

§<br />

z0<br />

<br />

<br />

<br />

z0 +∆z §<br />

<br />

∆θ z0 z0+∆z0<br />

R(z0) = | lim∆z→0(∆l/∆θ)| ∆l z0<br />

<br />

<br />

∆l <br />

R(z0) = lim <br />

∆z <br />

<br />

∆l 1<br />

∆z→0 ∆z ∆θ = lim<br />

∆z→0 ∆z |θ ′ (z0)| .<br />

<br />

lim<br />

∆z→0<br />

<br />

∆l<br />

=<br />

∆z<br />

1<br />

cos[θ(z0)] .

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