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Thin Film Resistor Networks

IP.com Disclosure Number: IPCOM000098943D
Original Publication Date: 1964-Sep-01
Included in the Prior Art Database: 2005-Mar-08
Document File: 3 page(s) / 45K

Publishing Venue

IBM

Related People

Akmenkalns, IG: AUTHOR [+3]

Abstract

This resistor structure utilizes a single thin film of resistive material on an insulating substrate. It has symmetrically spaced contacts attached to the perimeter and to the geometric center of the thin film. The terminal properties are similar to conventional resistor-divider networks. The structure can form a polygon of n sides to which contacts are made at the vertices and also to the geometric center of the structure, as in drawing A. The terminal voltages are related by the following expression: (Image Omitted) The limiting structure is shown to be a circle, drawing B, having symmetrically spaced contacts. If a terminating resistance is connected between the center of these devices and a reference potential, the current I(0) in this resistor is proportional to V(0).

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Thin Film Resistor Networks

This resistor structure utilizes a single thin film of resistive material on an insulating substrate. It has symmetrically spaced contacts attached to the perimeter and to the geometric center of the thin film. The terminal properties are similar to conventional resistor-divider networks. The structure can form a polygon of n sides to which contacts are made at the vertices and also to the geometric center of the structure, as in drawing A. The terminal voltages are related by the following expression:

(Image Omitted)

The limiting structure is shown to be a circle, drawing B, having symmetrically spaced contacts. If a terminating resistance is connected between the center of these devices and a reference potential, the current I(0) in this resistor is proportional to V(0).

In the case of these thin film structures having unequal and asymmetrically spaced terminals, the output potential at the center of a disk-configured structure is the weighted average of the applied potentials plus a residue which vanishes as the input terminals are expanded to cover the entire boundary.

Drawing C shows the thin disk-configured resistor with N input terminals on the circumference with the applied potentials and contact lengths of V(i) and alpha(i). The arc between the ith and the i + 1/st/ terminals is denoted by beta(i). The lengths alpha(i) and beta(i) are expressed in radians and the ground potential is taken to be zero.

Since the potential is a harmonic function on the disk, it has the mean value property:

(Image Omitted)

where v and V(0) denote the potential on the boundary and at the center respecti...