Electronic device and operation method of electronic device for providing finding function

An electronic device system comprises:

• a first electronic device;
• a second electronic device;
• and
• a charging case,
• wherein,
• the first electronic device includes a first battery and a first processor;
• the second electronic device includes a second battery and a second processor;
• and
• the charging case includes a third battery, a boost circuit configured to charge the first electronic device and/or the second electronic device with power of the third battery, and a bypass circuit configured to directly supply power from the third battery to the first electronic device and/or the second electronic device,
• wherein the first processor of the first electronic device is configured to:
• identify whether the first electronic device and/or the second electronic device are/is mounted on the charging case;
• identify a remaining capacity of the first battery and the second battery in response to the identification of being mounted and determine the first electronic device having a larger remaining battery capacity as a main electronic device;
• transmit a first request signal to a first external electronic device;
• switch to a lost mode to broadcast a first request signal at a specified period in response to a strength of a first response signal received from the first external electronic device;
• and
• transmit information related to the lost mode to the charging case,
• the second electronic device is configured to switch to a power saving mode in which the second electronic device does not perform an operation other than a designated function, and
• the charging case being configured to connect the third battery and the bypass circuit based on information related to the lost mode and to provide the power of the third battery to the first electronic device using the bypass circuit.