AM formulas Quiz

1. Mira is working on a project where she needs to transmit a signal. She has a carrier signal c(t)=100cos(2π×1,000t) that she wants to modulate using a sinusoidal signal m(t)=50cos⁡(2π×50t). What is the modulation index for her project?

• 0.3

• 0.5

• 0.7

• 1

1. Ishika is working on a project where she needs to determine the total power of an AM signal. She knows that the carrier power is 100 W, and the modulation index is 0.8. Can you help her calculate the total power of the AM signal?

• 132

• 165

• 145

• 234

1. What is the modulation index for a carrier signal c(t)=200cos(2π×2,000t) modulated by a signal m(t)=30cos(2π×100t)?

• 0.25

• 0.2

• 0.15

• 0.1

1. Avni is working on a project where she needs to calculate the total power of an AM signal. She knows that the carrier power is 50 W and the modulation index is 1.2. Can you help her find the total power of the AM signal?

• 75

• 100

• 110

• 86

1. Krish is experimenting with a radio transmitter. If the modulation index is 0.5 and the carrier frequency is 1,000 Hz, what is the frequency of the modulating signal if the total bandwidth is 2 kHz?

• 500 Hz

• 1,000 Hz

• 1,500 Hz

• 2,000 Hz

1. Rohan is experimenting with an AM wave in his physics lab. He measures the maximum voltage (Vmax) to be 10 V and the minimum voltage (Vmin) to be 2 V. Can you help him calculate the modulation index?

1. Explain how sidebands are formed in AM and calculate the frequencies of the upper and lower sidebands for a 1 MHz carrier modulated by a 10 kHz signal.

• 1010khz,990khz

• 1010khz,970khz

• 1000khz,990khz

• 1020khz,890khz

1. Analyze the spectrum of an AM signal with a carrier frequency of 2 MHz and a modulating signal frequency range of 0–5 kHz.

• 1992khz,2015khz

• 1990khz,2050khz

• 1985khz,2105khz

• 1995khz,2005khz

1. A radio station broadcasts an AM signal at a carrier frequency of 1200 kHz with a bandwidth of 20 kHz. Determine the frequency range of the signal.

1. In a radio transmission system, the carrier power is 50 W, and the modulation index is 0.5. What is the total transmitted power?