MD80 CREW HAD A LIGHTNING STRIKE IN IAD CLASS B AIRSPACE.

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EMER LNDG DUE SMOKE IN CABIN. NORMAL S DEP RWY 19 IN LIGHT RAIN WINDS 210 DEGS AT 8 KTS CLBING THROUGH 9000-10000 FT WITH ANTI-ICE ON AND RADAR SHOWING ONLY LIGHT RAIN WITH SMALL POCKETS OF MODERATE PRECIP. ST ELMOS FIRE APPEARED ON BOTH WINDSCREENS FOLLOWED SHORTLY BY A BRIGHT FLASH OF LIGHTNING OFF THE L SIDE OF THE ACFT WITH A MUFFLED RUMBLE AND A MINOR AIRFRAME BUMP. THERE WERE NO INDICATIONS OF ANY ELECTRICAL PROBS WITH THE ACFT. SOON AFTER THE DISCHARGE; I BEGAN TO SMELL HOT ELECTRICAL WIRES AND THE FLT ATTENDANT CALL SOUNDED AND THE #1 FLT ATTENDANT RPTED SMOKE FROM THE OVERHEAD FLUORESCENT LIGHT. SUSPECTING A BALLAST FIRE; I ASKED HER TO TURN OFF THE LIGHTS AND KEEP ME ADVISED. SHORTLY AFTER SHE RPTED THE SMOKE DISSIPATING; MOMENTS LATER SHE RPTED SMOKE WAS INCREASING IN THE COACH CABIN. I THEN DECLARED AN EMER; REQUESTED FIRE SUPPORT AND VECTORS TO DULLES. ON 22 MI FINAL TO RWY 19R; THE FLT ATTENDANTS RPTED THE CEILING IN COACH WAS MELTING AND THEY WERE USING THE FIRE EXTINGUISHERS. AT THIS TIME I ADVISED THE #1 FLT ATTENDANT THAT WE WOULD BE EVACING ON THE RWY. SHE WAS ADVISED TO PREPARE THE PAX AS TIME PERMITTED. TWR AND CFR WAS ADVISED OF OUR PLAN AS WELL. FULL FLAP LNDG NORMAL. ACFT WAS STOPPED ON RWY CTRLINE AND EVAC WAS INITIATED VIA SLIDES AND OVERWING EXITS. FLT ATTENDANTS DID EXCELLENT JOB. THERE WERE NO INJURIES OF ANY KIND AMONG OUR CREW.