At a distance of 10 km from a radio transmitter, the amplitude of the E-field is 0.20 volts/metre.What is the total power emitted by the radio transmitter?
A)10 kW
B)67 kW
C)140 kW
D)245 kW
E)21 kW

Question

Quizplus · Accepted Answer

The total power emitted by the radio transmitter is given by the formula:P = (1/2) * ε₀ * c * E² * 4πr²where:P is the power in wattsε₀ is the permittivity of free space (8.85 x 10^-12 F/m)c is the speed of light (3 x 10^8 m/s)E is the amplitude of the electric field in volts/meterr is the distance from the transmitter in metersPlugging in the given values, we get:P = (1/2) * (8.85 x 10^-12 F/m) * (3 x 10^8 m/s) * (0.20 V/m)² * 4π(10,000 m)²P = 67 kWTherefore, the correct answer is B) 67 kW.

At a Distance of 10 Km from a Radio Transmitter