Cordless cautery and cutting surgical device, comprising: at least one modular battery (1880, 3500) having: a cordless radio-frequency-signal-generation assembly generating an output radio-frequency signal; and a first selectively removable connector part electrically connected at an output couple to the cordless radio-frequency-signal generation assembly, the cordless radio-frequency-signal-generation assembly operable to supply the radio-frequency signal to the first connector part; and a surgical handle (1800, 3000, 3400) having: a first handle body portion having a bipolar cautery and cutting end effector having jaws with bipolar contacts and a cutting blade disposed between the jaws; and a second handle body portion: connected to the first handle body portion; defining therein an aseptically sealable battery-holding compartment (3406, 6105) operable to removably hold thereat the battery (1880, 3500), the aseptically sealable battery-holding compartment (3406, 6105) being selectively exposable to the environment; and having a second selectively removable connector part operable to removably hold the first connector part thereto, the second connector part electrically connecting the first connector part to the bipolar contacts for supplying the radio-frequency signal to the bipolar contacts when the first and second connector parts (2080, 2082) are removably secured together. at least one modular battery (1880, 3500) having: a cordless radio-frequency-signal-generation assembly generating an output radio-frequency signal; and a first selectively removable connector part electrically connected at an output couple to the cordless radio-frequency-signal generation assembly, the cordless radio-frequency-signal-generation assembly operable to supply the radio-frequency signal to the first connector part; and a cordless radio-frequency-signal-generation assembly generating an output radio-frequency signal; and a first selectively removable connector part electrically connected at an output couple to the cordless radio-frequency-signal generation assembly, the cordless radio-frequency-signal-generation assembly operable to supply the radio-frequency signal to the first connector part; and a surgical handle (1800, 3000, 3400) having: a first handle body portion having a bipolar cautery and cutting end effector having jaws with bipolar contacts and a cutting blade disposed between the jaws; and a second handle body portion: connected to the first handle body portion; defining therein an aseptically sealable battery-holding compartment (3406, 6105) operable to removably hold thereat the battery (1880, 3500), the aseptically sealable battery-holding compartment (3406, 6105) being selectively exposable to the environment; and having a second selectively removable connector part operable to removably hold the first connector part thereto, the second connector part electrically connecting the first connector part to the bipolar contacts for supplying the radio-frequency signal to the bipolar contacts when the first and second connector parts (2080, 2082) are removably secured together. a first handle body portion having a bipolar cautery and cutting end effector having jaws with bipolar contacts and a cutting blade disposed between the jaws; and a second handle body portion: connected to the first handle body portion; defining therein an aseptically sealable battery-holding compartment (3406, 6105) operable to removably hold thereat the battery (1880, 3500), the aseptically sealable battery-holding compartment (3406, 6105) being selectively exposable to the environment; and having a second selectively removable connector part operable to removably hold the first connector part thereto, the second connector part electrically connecting the first connector part to the bipolar contacts for supplying the radio-frequency signal to the bipolar contacts when the first and second connector parts (2080, 2082) are removably secured together. connected to the first handle body portion; defining therein an aseptically sealable battery-holding compartment (3406, 6105) operable to removably hold thereat the battery (1880, 3500), the aseptically sealable battery-holding compartment (3406, 6105) being selectively exposable to the environment; and having a second selectively removable connector part operable to removably hold the first connector part thereto, the second connector part electrically connecting the first connector part to the bipolar contacts for supplying the radio-frequency signal to the bipolar contacts when the first and second connector parts (2080, 2082) are removably secured together.