Physics 9702 · AS & A Level · Characteristics of alternating currents

Characteristics of alternating currents — practice question

An optic fibre is employed to carry digital telephone signals. The power fed into the optic fibre is $9.8\,\text{mW}$. The effective noise level in the receiver circuit is $0.36\,\mu\text{W}$, as shown in Fig. 12.1. The signal-to-noise ratio at the receiver must stay at or above $28\,\text{dB}$. For this transmission with no repeater amplifiers, the greatest possible length of the optic fibre is $85\,\text{km}$.
(a)[2]

Calculate the least input signal power to the receiver.

(b)[2]

Use your answer in (a) to calculate the attenuation in the fibre.

(c)[1]

Determine the attenuation per unit length of the fibre.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Substituting gives $28=10\log(P/0.36\times10^{-6})$.

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