How much can the actual transmitter frequency differ from a reading of 156,520,000 Hertz with an accuracy of +/- 10 ppm?

To determine how much the actual transmitter frequency can differ from a reading of 156,520,000 Hertz with an accuracy of +/- 10 parts per million (ppm), we need to calculate 10 ppm of the given frequency.

First, convert ppm to a decimal for calculation purposes. Since 10 ppm means 10 parts out of 1,000,000, it can be expressed as:

10 ppm = 10 / 1,000,000 = 0.00001

Next, multiply the frequency by this decimal to find the allowable variation:

Allowable variation = 156,520,000 Hz * 0.00001 = 1.5652 Hz

The accuracy of +/- 10 ppm indicates that the frequency can vary by up to 1.5652 Hz in either direction, but we also need to consider the total maximum allowable deviation.

Since the allowable variation in the recorded frequency of 156.52 MHz is associated with a large frequency value, scaling this result involves looking at how many steps of 0.000001 (which represents parts per million) would amount to a significant overall frequency variation as per the frequency’s numeric magnitude.

Reflecting on the total readings, the maximum allowance becomes significant.