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If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ____ . (round off to nearest integer).
Correct answer is between '12,14'. Can you explain this answer?
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If only 5% of the supplied power to a cable reaches the output termina...
Power Loss in a Cable:
The power loss in a cable refers to the amount of power that is dissipated or lost as heat during transmission. It is typically expressed in decibels (dB).
Given Information:
In this case, we are given that only 5% of the supplied power to a cable reaches the output terminal. This means that 95% of the power is lost in the cable.
Calculating Power Loss in Decibels:
To calculate the power loss in decibels, we can use the formula:
Power Loss (dB) = 10 * log10 (Pout / Pin)
where Pout is the output power and Pin is the input power.
In this scenario, we know that the output power is only 5% of the input power. Therefore, we can express Pout as 0.05 * Pin.
Substituting these values into the formula, we get:
Power Loss (dB) = 10 * log10 ((0.05 * Pin) / Pin)
Simplifying the equation further:
Power Loss (dB) = 10 * log10 (0.05)
Calculating the logarithm of 0.05 using a calculator, we find that log10 (0.05) is approximately -1.301.
Substituting this value back into the equation:
Power Loss (dB) = 10 * (-1.301)
Calculating the product, we get:
Power Loss (dB) ≈ -13.01 dB
Rounding to the Nearest Integer:
Since the question asks us to round off the answer to the nearest integer, we need to decide whether to round up or down. In this case, -13.01 dB is closer to -13 dB than it is to -14 dB.
Therefore, rounding -13.01 dB to the nearest integer gives us -13 dB.
Final Answer:
The power loss in the cable, rounded off to the nearest integer, is -13 dB.
(Note: The negative sign indicates that there is a loss of power in the cable.)
The power loss in a cable refers to the amount of power that is dissipated or lost as heat during transmission. It is typically expressed in decibels (dB).
Given Information:
In this case, we are given that only 5% of the supplied power to a cable reaches the output terminal. This means that 95% of the power is lost in the cable.
Calculating Power Loss in Decibels:
To calculate the power loss in decibels, we can use the formula:
Power Loss (dB) = 10 * log10 (Pout / Pin)
where Pout is the output power and Pin is the input power.
In this scenario, we know that the output power is only 5% of the input power. Therefore, we can express Pout as 0.05 * Pin.
Substituting these values into the formula, we get:
Power Loss (dB) = 10 * log10 ((0.05 * Pin) / Pin)
Simplifying the equation further:
Power Loss (dB) = 10 * log10 (0.05)
Calculating the logarithm of 0.05 using a calculator, we find that log10 (0.05) is approximately -1.301.
Substituting this value back into the equation:
Power Loss (dB) = 10 * (-1.301)
Calculating the product, we get:
Power Loss (dB) ≈ -13.01 dB
Rounding to the Nearest Integer:
Since the question asks us to round off the answer to the nearest integer, we need to decide whether to round up or down. In this case, -13.01 dB is closer to -13 dB than it is to -14 dB.
Therefore, rounding -13.01 dB to the nearest integer gives us -13 dB.
Final Answer:
The power loss in the cable, rounded off to the nearest integer, is -13 dB.
(Note: The negative sign indicates that there is a loss of power in the cable.)
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Community Answer
If only 5% of the supplied power to a cable reaches the output termina...
% power loss = 95%
Power output as a % of power is 5%
Practically cables power loss in decibels is calculated as
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If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ____ . (round off to nearest integer).Correct answer is between '12,14'. Can you explain this answer?
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