Corolla 88: V- Belt burning

I have a problem with my Toyota Corolla 1988, The V-Belt burnt, there was a strange noise coming out and the steering was so tough ; it lost the power, it used to be ok after a while of driving it! Yesteurday morning i tryed to switch on the engine, but the V-belt was burnt. I changed the V-Belt but i still have the burning V-belt problem with the strange high sound, Do you think i should change the alternater? or is it something else?
thank you.