The News.

As we anticipated would be the case, our dispatches of yesterday put quite a different aspect upon affairs in front of Petersburg from those of Monday morning. The forces making the assault upon the rebel works after the explosion of the mine, on Saturday morning are reported to have fallen back from the assault in good order, bringing 3,500 rebel prisoners with them, instead of being demoralized and thrown into disorder, as first stated. The heavy loss of all the Brigades in the Division making the assault sufficiently attests the sanguinary character of the contest. The rebels, with their usual inhumanity, have refused permission to remove the wounded, lying between the two lines of entrenchments. The country will regret deeply the loss of two such intrepid officers as Gens. Bartlett and Wild, both of whom are said to be prisoners. President Lincoln and Gen. Grant are reported to have been in consultation at Fortress Monroe on Sunday last. The latter is said to be in good spirits and confident of success.

The rebel Gen. Hood, is rapidly destroying his army by his repeated assaults upon Gen. Sherman's position in front of Atlanta. It is by these assaults that the safety and final success of Gen. Sherman is being assured. After each attack, the rebel force is relatively weaker than before, because the attacks are made upon our forces in entrenchments. Thus Sherman's security from interruption of his communication is daily becoming greater, while the necessity upon Hood either to dislodge his antagonist or retreat in order to save the remnant of his own force from capture or annihilation, is daily growing more pressing. The rebel loss since their retreat to Atlanta is estimated at 30,000, of which a large proportion are prisoners.

Gen. Garrard has just returned from a highly successful raid on the Atlanta and Augusta Railroad. The country will regret to learn that "fighting Joe Hooker" has found it necessary to retire from the command of the 20th corps, having been relieved at his own request.