At what distance from the locator antenna is the object, if the reflected signal from it returned back after 200 μs.

| March 30, 2021 | education

V = 3 * 10 ^ 8 m / s.

t = 200 μs = 200 * 10 ^ -6 s.

S1 -?

The locator emits electromagnetic radiation, which propagates at the speed of light V = 3 * 10 ^ 8 m / s. The electromagnetic wave from the locator travels the distance to the obstacle S1, is reflected from it, and travels the same distance S1 on the way back. An electromagnetic wave for a time t = 200 μs = 200 * 10 ^ -6 s travels the distance S, which is the sum: S = S1 + S1 = 2 * S1.

Let us express the speed of propagation of an electromagnetic wave V: V = S / t = 2 * S1 / t.

The distance from the locator antenna to the obstacle S1 will be expressed by the formula: S1 = V * t / 2.

S1 = 3 * 10 ^ 8 m / s * 200 * 10 ^ -6 s / 2 = 30,000 m = 30 km.

Answer: the obstacle is at a distance of S1 = 30 km from the locator antenna.



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