Mobile signal strength is measured in decibel- milliwatts (dBm), with values ranging from (-50) dBm (excellent) to (-120) dBm (very poor), and can be checked using your phone's Field Test Mode or signal strength apps. Signal strength S (in dBm) is calculated as : S = 10 log P, where P is the signal power. (i) Find the signal strength when P = . (ii) If signal power is reduced to , how does S change?

Question

KnowledgeBoat · Accepted Answer

Given, S = 10 log P (i) When P = P = 10-6 S = 10 log (10-6) = 10 × (-6) log 10 = 10 × (-6) × 1 = -60 dBm. Hence, signal strength = -60 dBm. (ii) P = = 10-10. S = 10 log (10-10) = 10 × (-10) log 10 = 10 × (-10) × 1 = -100 dBM. Hence, signal strength is reduced to -100 dBm.

Mathematics

Logarithms

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