Final answer:
To find the amplitude of the emf induced in the receiving antenna, we can use the formula: Emf = (2 * Pi * f * B * A * N) / c, where f is the frequency of the radio wave, B is the maximum strength of the magnetic field, A is the cross-sectional area of the coil, N is the number of turns in the coil, and c is the speed of light.
Step-by-step explanation:
To calculate the amplitude of the emf induced in the receiving antenna, we can use the formula:
Emf = (2 * Pi * f * B * A * N) / c
Where:
- Emf is the induced electromotive force
- Pi is a mathematical constant approximately equal to 3.1416
- f is the frequency of the radio wave
- B is the maximum strength of the magnetic field
- A is the cross-sectional area of the coil
- N is the number of turns in the coil
- c is the speed of light
Given that the radio frequency is 100 MHz, the maximum strength of the magnetic field is 1.00×10^-12 T, the cross-sectional area of the coil is (Pi * (0.75 m)^2), and the number of turns in the coil is 200, we can substitute these values into the formula to find the answer.
Emf = (2 * Pi * (100 × 10^6) * (1.00×10^-12) * (Pi * (0.75 m)^2) * 200) / 3.00×10^8
Solving this equation will give us the amplitude of the emf induced in the receiving antenna.