Chief constable Grahame Maxwell takes a call to the recruitment hotline
More than 200,000 people have called a police recruitment hotline to inquire about 60 jobs.
North Yorkshire Police's phone line crashed on Monday, the first day of a campaign to recruit officers, when it received 20,000 calls.
A new number was issued and more than 200,000 people have since called. The line is open between 1700 and 2000 GMT.
The force, which employs about 1,500 officers, said the number of calls it had received was "incredible".
The demand was so great that senior officers, including Chief Constable Grahame Maxwell, Deputy Chief Constable Adam Briggs and Assistant Chief Constable Sue Cross, decided to chip in and take some calls.
Mr Briggs said: "We have had an incredible response to the recruitment campaign and it was nice to be able get involved and lend a hand.
"I am very pleased to say that despite this massive number of calls there was no effect on the frontline services we provide."
Despite Monday's technical problems, Deputy Chief Constable Adam Briggs said: "Response to 999 calls and routine operational calls has not, and will not, be affected."
Staff from the force's IT department worked with BT to ensure that Monday's technical problems were not repeated.
A force spokesman said: "Regrettably, unforeseen technical difficulties occurred as a result of this unprecedented overwhelming demand.
"Working in conjunction with partners, North Yorkshire Police has implemented an alternative telephone number which applicants are now requested to dial. This is 0300 123 9020."