Question

A communication system has the following components: A Voltage Amplifier (active device) with a Gain of 6 Db, A 400-meter- long cable (passive device) with losses of 3 Db per 100 meters. The input signal into the system has a level of 10 millivolts, the output of the amplifier is connected to one end of the cable, and the other end of the cable is connected to the Load. Determine:

The voltage in millivolts at the output of the Amplifier

Answer 1

The voltage at the output of the Voltage Amplifier is calculated to be 19.95 millivolts after applying the given gain of 6 dB to the input signal of 10 millivolts.

Step-by-step explanation:

To determine the voltage in millivolts at the output of the Voltage Amplifier, we need to calculate the amplified output based on the amplifier's gain. The gain of the amplifier is given as 6 dB. Using the formula for converting decibels to a linear ratio, which is G (linear) = 10^(G(dB) / 20), we can calculate the amplification factor. In this case, the amplification factor is 10^(6 / 20) = 1.995. Multiplying the input signal of 10 millivolts by this amplification factor gives us the output voltage of the amplifier:

V(output) = V(input) × G(linear) = 10 millivolts × 1.995 = 19.95 millivolts.

Therefore, the voltage at the output of the amplifier, before it enters the 400-meter-long cable, is 19.95 millivolts.