If the transmission coefficient is 0.001, what is the Transmission Loss (TL)?

To calculate the Transmission Loss (TL) from the transmission coefficient, you can use the formula:

[

TL = -10 \times \log_{10}(T)

]

where ( T ) is the transmission coefficient. In this case, the transmission coefficient is given as 0.001.

Substituting the value into the formula:

[

TL = -10 \times \log_{10}(0.001)

]

Calculating the logarithm, we know that:

[

\log_{10}(0.001) = \log_{10}(10^{-3}) = -3

]

Now, substituting this back into the formula for TL:

[

TL = -10 \times (-3) = 30 \text{ dB}

]

This means that, when the transmission coefficient is 0.001, the resulting Transmission Loss is 30 dB. This outcome correctly reflects the relationship between the transmission coefficient and Transmission Loss, showcasing how a lower coefficient results in higher loss in terms of decibels.