Electric field is a vector. In between the charges is where 's field points right and 's field points left, so somewhere in between, the two vectors will add to zero. It will be closer to the weaker charge, , but since field depends on the inverse-square of the distance, it will not be linear, and we'll have to do some math.

First set the magnitudes of the two fields equal to each other. The vectors point in opposite directions, so when their magnitudes are equal, the vector sum is zero.

Many of the terms cancel, making it a bit easier. Now cross multiply and solve the quadratic:

Using coulombs law to solve

 Where:

 it the first charge, in coulombs.

 is the second charge, in coulombs.

 is the distance between them, in meters

 is the constant of 

Converting  into 

Plugging values into coulombs law

Magnitude will be the absolute value

Using the electric field equation:

Where is 

is the charge, in

is the distance, in .

Convert  to and plug in values:

Magnitude is equivalent to absolute value:

Using the electric field equation:

Where is 

is the charge, in

is the distance, in .

Convert  to and plug in values:

Magnitude is equivalent to absolute value:

Use the electric field equation:

Where is 

is the charge, in

is the distance, in .

Convert  to and plug in values:

Magnitude is equivalent to absolute value:

To solve this question, we need to recall the equation for electric field strength.

Notice that the equation above represents an inverse square relationship between the electric field and the distance between the source charge and the point of space that we are interested in.

Plug in the values given in the question stem to calculate the magnitude of the electric field.

Now that we have determined the magnitude of the electric field, we need to identify which direction it is pointing with respect to the source charge. To do this, we'll need to remember that electric fields point away from positive charges and towards negative charges. Therefore, since our source charge is positive, the electric field will be pointing away from the source charge.

Use the electric field equation:

Where is 

is the charge, in Coulombs

is the distance, in meters.

Convert  to and plug in values:

Magnitude is equivalent to absolute value:

Use the electric field equation:

Where is 

is the charge, in Coulombs

is the distance, in meters.

Convert  to and plug in values:

Magnitude is equivalent to absolute value:

Use the electric field equation:

Where is 

is the charge, in Coulombs

is the distance, in meters.

Convert  to and plug in values:

Magnitude is equivalent to absolute value:

Using electric field formula:

Converting to , to and plugging in values: