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For Timer32, the largest possible Prescaler value is 256 and the smallest Prescaler value is 1. What is the longest interval (in seconds) Timer32 can measure if the system clock frequency (the one that feeds the timer) is 48MHz

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oladayoademosu

The longest interval (in seconds) Timer32 can measure if the system clock frequency (the one that feeds the timer) is 48MHz is 5.333 × 10⁻³ s

Since For Timer32, the largest possible Prescaler value is 256 and the smallest Prescaler value is 1, and we have a system clock frequency (the one that feeds the timer) is f = 48MHz = 48 × 10⁶ Hz

Period of the timer32

The period of the Timer32 is thus T = 1/f where f = frequency of system clock = 48 × 10⁶ Hz

So, substituting the value of f into the equation, we have

T = 1/f

T = 1/48 × 10⁶ Hz

T = 0.020833 × 10⁻⁶ s

T = 20.833 × 10⁻⁹ s

T = 20.833 ns

Longest time interval Timer32 can measure

Now the longest time interval the timer can measure, t = nT where

  • n = maximum prescaler value = 256 and
  • T = period of timer = 20.833 ns

So, substituting the values of the variables into theequation, we have

t = nT

t = 256 × 20.833 ns

t = 5333.248 ns

t = 5333.248 × 10⁻⁶ s

t = 5.333248 × 10⁻³ s

t ≅ 5.333 × 10⁻³ s

The longest interval (in seconds) Timer32 can measure if the system clock frequency (the one that feeds the timer) is 48MHz is 5.333 × 10⁻³ s

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