Chapter 4.6, Problem 5E

Interpretation Introduction

Interpretation:

To show that the equation for N junction in a series as $\frac{d{\varphi }_k}{d\tau }=\Omega +a\sin \left({\varphi }_k\right)+\frac{1}{N}{\displaystyle \sum _{j=1}^2\text{sin}\left({\varphi }_j\right)}$

And write down the explicit expressions for the dimensionless group, $\Omega$, $a$ and the dimensionless time $\tau$.

Concept Introduction:

Josephson junctions are superconducting devices that are capable of generating voltage oscillations of extraordinarily high frequency.

Josephson junctions can detect electric potentials as small as one quadrillionth of a volt, and they have been used to detect far-infrared radiation from distant

galaxies.

A Josephson junction consists of two closely spaced super conductors separated by a weak connection.

${\text{I}}_{\text{c}}$ is the critical current and ${\text{I}}_b$ is the bias current.