ladder             package:ResistorArray             R Documentation

_J_a_c_o_b'_s _l_a_d_d_e_r _o_f _r_e_s_i_s_t_o_r_s

_D_e_s_c_r_i_p_t_i_o_n:

     Resistor network.  Consider node 1 to be Earth.  Nodes 2...n  are
     each connected to node 1 by a resistor.  For 1<i<n, node i is
     connected to node i+1.

_U_s_a_g_e:

     ladder(n, x = 1, y = 1, z = NULL)

_A_r_g_u_m_e_n_t_s:

       n: Number of nodes

       x: Resistance of "vertical" resistors.  Standard recycling rules
          are used.

       y: Resistance of "horizontal" resistors.  Standard recycling
          rules are used.

       z: Resistance of _all_ resistors in the network.  If supplied,
          'x' and 'y' are discarded.

_V_a_l_u_e:

     Returns a standard conductance matrix

_A_u_t_h_o_r(_s):

     Robin K. S. Hankin

_S_e_e _A_l_s_o:

     'cube', 'series'

_E_x_a_m_p_l_e_s:

     ##Resistance of an infinite Jacob's ladder known to be (sqrt(5)-1)/2:

      phi <- (sqrt(5)-1)/2
      resistance(ladder(20),1,2) - phi
      resistance(ladder(60),1,2) - phi

      Wu(ladder(20))[1,2]-phi

