The antenna current of an AM transmitter is 10 A when the carrier is a...
Given:
Antenna current of AM transmitter when carrier is transmitted alone = 10 A
Antenna current of AM transmitter after modulation = 11 A
To find:
Power efficiency of the AM transmitter
Solution:
Power efficiency is the ratio of the power delivered to the antenna to the power input to the transmitter. It is given by the formula:
Power Efficiency (%) = (Power delivered to the antenna / Power input to the transmitter) * 100
Step 1: Calculate the power delivered to the antenna
The power delivered to the antenna can be calculated using the formula:
Power delivered to the antenna = (Antenna current)^2 * Antenna resistance
Given that the antenna current after modulation is 11 A, we can calculate the power delivered to the antenna as follows:
Power delivered to the antenna = (11 A)^2 * Antenna resistance
Step 2: Calculate the power input to the transmitter
The power input to the transmitter can be calculated using the formula:
Power input to the transmitter = (Carrier current)^2 * Total resistance
Given that the carrier current is 10 A, we can calculate the power input to the transmitter as follows:
Power input to the transmitter = (10 A)^2 * Total resistance
Step 3: Calculate the power efficiency
Now that we have the values for power delivered to the antenna and power input to the transmitter, we can calculate the power efficiency as follows:
Power Efficiency (%) = (Power delivered to the antenna / Power input to the transmitter) * 100
Substituting the values, we get:
Power Efficiency (%) = [(11 A)^2 * Antenna resistance] / [(10 A)^2 * Total resistance] * 100
Simplifying the expression, we get:
Power Efficiency (%) = (121 * Antenna resistance) / (100 * Total resistance) * 100
Power Efficiency (%) = (121 * Antenna resistance) / Total resistance
Since the values of Antenna resistance and Total resistance are not given in the question, we cannot calculate the exact value of power efficiency. However, if we assume that the antenna resistance is equal to the total resistance, then we can simplify the expression further:
Power Efficiency (%) = (121 * Antenna resistance) / Antenna resistance
Power Efficiency (%) = 121
Therefore, the power efficiency of the AM transmitter is 121%.
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