The magnetic field at the center of a wire loop of radius , which carries current , is 1 mT in the direction (arrows along the wire represent the direction of current). For the following wires, which all also carry current , indicate the magnitude (in mT) and direction of the magnetic field at the center (red point) of each configuration.

Complete Question

 The complete question is shown on the first uploaded image

The magnetic field is

And the direction is  

Explanation:

      From the question we are told that

                 The magnetic field at the center is

Generally magnetic field is mathematically represented as

We are told that it is equal to 1mT

So

From the first diagram we see that the effect of the current flowing in the circular loop is  (i.e the magnetic field generated)

 This implies that the effect of a current flowing in the smaller semi-circular loop is (i.e the magnetic field generated)

and  for the larger semi-circular loop  is

Now a closer look at the second diagram will show us that the current in the semi-circular loop are moving in the opposite direction

    So the net magnetic field would be

Recall  

    So  

Using the Right-hand rule we see that the direction is into the page which is

no. dot product   =0 when vecs at right angles