By J M Honig
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0 I. FUNDAMENTALS Now integrate over all space. 2, and with v - ExH, f d a r V . n for any vector v, n being the outer surface normal, to a surface boundaries integral the first term is transformed extending and thus vanishes. dB_). 5) in which p~ and vf are the density and drift velocity free carriers which constitute the current J~. (vfxB) - 0. The quantity in square brackets as formulated by Lorentz. vfdt - ~W, which is Section system. 15a) now follow directly. ~ of work - H0"~0) - ~_0) + ( H - - D'~0) + ~'(~H0)'~.
15) appear to have two factors such as P and E 0 both of which are intensive variables. Resolve the apparent anomaly. (b) Which is the intensive and which is the extensive variable in each case? 2 (a) By elementary methods derive the relation -VEdD/4~ for a parallel plate condenser of such size that fringing fields may be neglected; here V is the volume inside the condenser plates, E is the local electrostatic field, D E + 4~P is the electric displacement, and P the electric polarization per unit volume.
Concepts may be summarized in four equivalent Let F be a thermodynamic function of state; then the following holds" i. F is a real, single-valued, analytic function of the variables thermodynamic 2. The which characterize the state of the system. difference in F of distinct states depends a system in two solely on these two states. 3. The change in F in a cyclic process is identically zero. 4. The quantity dF is an exact differential. The reader should carefully note these distinct properties. NATH ENATICAL APPARATUS (h) discuss Next, in briefly mathematical ready ~-7 preparation the relationships.
