Once I put my multimeter on a telephone line and then called. This was probably 20 years ago, but I still remember: the line went up to 90+ volts (AC). Therefore, I assume that the phone expects to see a 90v signal for a call. It seems unlikely that the modem will be able to emit this signal, and it is also unlikely that the modem can provide the necessary current (as Martin said).
I have one idea, but it will depend on your telephone line provider. I donβt know if it still works, but a few years ago in Australia you could dial a certain short number and then hang up and the exchange will call you back immediately. Very useful for the phone to check the line, I think. Therefore, if you find out if your provider has a number that does this, all you have to do is get the modem to dial that number and then hang up. Then you can follow the line and call several times, tell the modem to pick up the phone and hang up to stop the call.
Here is an idea that doesn't use a modem at all. You can connect to the VOIP service (for some of them there must be an API) and just dial your phone number. You will never answer in such a way that it would not cost anything.
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