The Potomac Electric Power Co. yesterday reported profits of $62.4 million (80 cents a share) on revenue of $311.6 million for the second quarter ended June 30, compared with profits of $35.5 million (67 cents) on revenue of $305.6 million for the same quarter a year ago.

Meanwhile, Norfolk Southern Corp. said its profits also rose in the second quarter.

Profits for the six months were $103 million ($1.59) on revenue of $636.4 million, compared with profits of $70.4 million ($1.33) on revenue of $595.7 million last year.

The company said an extraordinary gain of 46 cents a share in the second quarter resulted from the June sale of its Virginia service territory to Virginia Power.Norfolk Southern Corp. reported second-quarter profits of $143 million ($2.26) on total transportation revenue of $1.05 billion, compared with profits of $138.7 million ($2.20) on revenue of $911 million for the same quarter a year ago.

For the first six months, profits were $246.7 million ($3.91) on revenue of $2.06 billion, compared with profits of $238.5 million ($3.79) on revenue of $1.8 billion for the first six months of 1985.