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# Answer to Question #119247 in Electrical Engineering for Vineela

Question #119247
A delay difference of ‘x’ns between the slowest and fastest fiber with a core refractive index of 1.5 and refractive index difference of 2%. Estimate the following
The length of the optical fiber link
Bandwidth –length product for the maximum bit rate.
1
2020-06-05T05:36:54-0400

Given:

"\\Delta=0.02;\\\\\n\\delta T_b=x\\text{ ns};\\\\\nn=1.5."

Solution:

1) The length of the optical fiber link assuming the delay difference of ‘x’ ns:

"x\\cdot10^{-9}=\\delta T_b\\approx\\frac{Ln\\Delta}{c}\\rightarrow L=10x\\text{ m}."

"\\sigma_s\\approx\\frac{Ln\\Delta}{2\\sqrt3 c}=2.889x\\cdot10^{-10}\\text{ s}."

3) Bandwidth–length product for the maximum bit rate.

"B_{T\\text{max}}\\cdot L=\\frac{0.2L}{\\sigma_s}=692.3\\cdot10^7\\text{ Hz}\\cdot\\text{km}."

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