Question

if charges moves in zigzag motion then what the condition happened

Answer 1

According to your question i assume that the It could be at rest in one framework and moving in another. A rock sitting on the ground is at rest with respect to the earth, but the earth is turning and moving around the sun and the sun is moving through space, etc, so we have to state the framework. So yes, in that sense a body can be at rest and in motion at the same time. But not both in the same framework.
When a body pocessess only potential energy or doesn't have movement, it is said to be in a state of rest.

When a body pocessess kinetic energy or processes movement, it is said to be in a state of motionI hope you have understood.