Therefore an electric field is wider spread then just at the point at which the charge lies. No calculations are required. I believe it is rather impossible for there to be a value of 0 for an electric field that has charges near by unless these close charges in some way or another cancel each other out and would therefore possibly permit a value of zero for an electric field. Charges exert an electric field on one another no matter the distance, so I guessed that a point could not exist in an electric field with a zero value. The field around a point radiates equally in all directions so there must be an attractive force at the point.
Electric fields are widespread around charges and extend out into the spaces around the charges.
Therefore, if charges are present the space around them has electric fields around them. As we saw in lab this week, the charges do not cancel each other out. If you have two opposite and equal charges, they will cancel themselves out and create an electric feild of zero. Just because there are charges near by does not mean that they extend to every point. There are a variety of other factors that might effect this.