To show that the equation for N junction in a series as d ϕ k d τ = Ω + a sin ( ϕ k ) + 1 N ∑ j = 1 2 sin ( ϕ j ) And write down the explicit expressions for the dimensionless group, Ω , a and the dimensionless time τ . 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. I c is the critical current and I b is the bias current.

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Chapter 4.6, Problem 5E

Interpretation Introduction

Interpretation:

To show that the equation for N junction in a series as dϕkdτ=Ω+asin(ϕk)+1N∑j=12sin(ϕj)

And write down the explicit expressions for the dimensionless group, Ω, a and the dimensionless time τ.

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.

Ic is the critical current and Ib is the bias current.

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