Charged conductor in an external electric field

If we put a conductor in a place where there is a uniform electric field, then the field will change. Take for example the case of a conducting cylinder, then the field lines would curve to return something like this:

But what would happen if the cylinder was held to some potential $$V_0>0$$ before "turning on" the external electric field? Stated in other words, how would the resulting electric field change if the cylinder had a uniform surface charge density $$\sigma$$ before being placed inside the external electric field?

• E resultant can be understand by vector addition of all field,since you mention in your question that v0>0 it mean there is charge whose field is there .hence while doing doing vector addition of field at point where you want the resultant field we also need tk take acciunt of this field – Yuvraj Singh... Aug 30 '19 at 6:12