700 



BELL SYSTEM TECHNICAL JOURNAL 



TABLE II 



No. 



Admittance Y{p) 

 Illustrative System 

 Cause and Effect 



Cause: Unit Impulse 

 Effect: dllYip) 



24 



Y{p) = 



sin [(tt — y)p'] 

 sin rp 



sm y 



1 



lir cosh X — cos y 



Flow of electricity in thin plane infinite 

 strip, axis of x along lower edge of strip, 

 axis of y across, width of strip = tt, upper 

 edge (3* = tt) maintained at zero potential. 

 Cause: Potential along x axis. Effect: 

 Potential at point (x, 3'). 



615 



25 



Y{p) = 



cos [(tt - y)p'\ 



cos TTp 



Same as 24, except upper edge {y = tt) 

 is insulated. 



1 sin \y cosh \x 

 TT cosh x — cos y 



616 



26 



Y{p) = exp (Ktp^) 



Linear flow of heat in infinite solid 

 diffusivity k, axis of x in direction of flow 

 Cause : Initial temperature. Effect 

 Temperature at time / at point x. 



l^TTKt 



exp 



V 4k/ j 



701 



27 



Y{p) = cos (tp^) 



Transverse oscillations of infinite elastic 

 plate; x and y axes in the plate, but all 

 points with same y coordinate have same 

 displacement. Cause: Initial displace 

 ment. Effect: Displacement perpen 

 dicular to plate at time / of point whose 

 coordinate is x. 



— T=^ sm 



(i-i) 



752 



