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The difference is that a standard digital multimeter will never read the true output of a zapper that is working correctly.
The output of a zapper is a square wave with a duty cycle of 50 % ( theoretically ). Therefore, the output is at full voltage only half of the time. The meter avereages the reading so that a zapper that has a peak output of 9 volts will read approximately 4.5 volts on a multimeter. If it reads 9 volts then the output is not correct and is an indication that the zapper is stuck in the high output condition ( not oscillating ). NOTE: some meters costing hundreds of dollars can read peak voltage but this is very rare.
The original 555 timer used in the original HC zapper only outputs 7.5 to 8 volts peak on a fresh 9 volt alkaline or heavy duty battery.
We use a newer timer that produces 9.4 to 9.6 volts on a fresh 9 volt alkaline or heavy duty battery.
Rechargeable 9 volt batteries only produce 7.2 volts or 8.4 volts depending on the chemistry.
zappers