What will be the number of tracks for the resolution of 11.25 degrees

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Module 2: Position and velocity measurment

20242m

What will be the number of tracks for the resolution of 11.25 degrees for an encoder?
(i) 4
(ii) 5
(iii) 6
(iv) 8

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Answer

Correct Option: (ii) 5

Explanation

Encoder resolution: $\text{Resolution} = \frac{360°}{2^{n}}$ where $n$ = number of tracks (bits).

Given resolution $= 11.25°$ :

$2^{n} = \frac{360}{11.25} = 32$

$n = \log_2 32 = 5$

Final Answer

5 tracks → Option (ii) (32 positions).

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