A B737 #2 ENGINE COWL AND ANTI-ICE WING CONTROL CIRCUIT BREAKERS POPPED AFTER TAKEOFF IN ICING CONDITIONS. A BRIEF ELECTRICAL SMELL WITH SMOKE WAS PRESENT.

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THE FLT WAS THE LAST LEG OF A 3-DAY PAIRING TO ZZZ1. THE FO WAS THE PF AND THE CAPT WAS THE PM. DURING THE TKOF ROLL AFTER 100 KTS; THE MASTER CAUTION ILLUMINATED. THE TKOF WAS CONTINUED AND IT WAS NOTED THAT THE COWL ANTI-ICE VALVE WAS ILLUMINATED. DURING THIS TIME BOTH PLTS NOTICED AN ACRID BURNING SMELL. I DONNED MY OXYGEN MASK AT THAT TIME AS A PRECAUTIONARY MEASURE. ATC SWITCHED US TO DEP AND WE CONTINUED THE CLBOUT. DURING THE CLBOUT; THE SMELL WENT AWAY AND I ALSO SWITCHED OFF THE #2 ENG ANTI-ICE SWITCH. I GOT OUT THE QRH AND WE ATTEMPTED TO EXTINGUISH THE COWL ANTI-ICE LIGHT BY REDUCING THRUST ON THE #2 ENG. THE LIGHT WOULD NOT EXTINGUISH. CHKING THE CIRCUIT BREAKERS I SAW THE COWL ENG #2 CIRCUIT BREAKER WAS POPPED. AT THIS POINT WE BROKE OUT ON TOP OF THE WX. IN AN ATTEMPT TO EXTINGUISH THE LIGHT I RESET THE CIRCUIT BREAKER AND THEN TURNED ON THE #2 ENG ANTI-ICE SWITCH. THE SMELL RETURNED IMMEDIATELY WITH A TRACE OF SMOKE. IT WAS EQUIVALENT TO A MATCH BEING STRUCK. WE BOTH DONNED OUR OXYGEN MASKS AT THIS TIME AND I TURNED THE SWITCH OFF AND THE SMELL IMMEDIATELY STOPPED. AT THIS TIME WE ALSO NOTICED THAT THE ENG #2'S WING CTL CIRCUIT BREAKER IN THE ANTI-ICE SECTION WAS POPPED. NO FURTHER ATTEMPTS WERE MADE TO RESET THE SYS AND THE SMELL/SMOKE WAS GONE. THE SMELL WAS CONTAINED TO THE TOP CONSOLE AND THE FLT ATTENDANTS RPTED NO ABNORMAL ODORS IN THE CABIN. WE BELIEVED THE PROB WAS IN THE ANTI-ICE SWITCH. I STARTED LOOKING FOR A DIVERT ARPT THAT DID NOT HAVE ICING CONDITIONS. I CHKED NEARBY ARPTS AND THEY ALL HAD ICING CONDITIONS. I CONTACTED DISPATCH THROUGH ACARS AND TOLD THEM I MIGHT NEED TO MAKE A VMC DSCNT AND THEY SAID THE CLRING LINE WAS AT ZZZ2; WHEREVER THAT IS; AND SAID ZZZ1 HAD SCATTERED CLOUDS AND SHOULD POSE NO PROB GETTING IN. SINCE THERE WAS NO TRACE OF SMOKE OR ODORS; THE DECISION WAS MADE TO GO TO ZZZ1 WHERE IT WAS VMC. DURING THE FLT TO ZZZ1 I CONTINUALLY CHKED THE WX AT POSSIBLE DIVERT FIELDS AND THEY ALL HAD ICING CONDITIONS. I WROTE UP THE MALFUNCTION IN THE LOGBOOK AND TOLD MAINT AT ZZZ1 ABOUT THE SMOKE.