Here is an example that you can customize to do what you want. Essentially, you can use jQuery / AJAX to accomplish this.
The example below creates a second drop-down box, populated with the values found. If you follow the logic line by line, you will see it is actually quite simple. I left in several commented-out lines that, if uncommented (one at a time) will show you what the script is doing at each stage.
FILE 1 -- TESTER.PHP
<html>
    <head>
        <script src="//ajax.googleapis.com/ajax/libs/jquery/1.8.3/jquery.min.js"></script>
        <script type="text/javascript">
            $(function() {
//alert('Document is ready');
                $('#stSelect').change(function() {
                    var sel_stud = $(this).val();
//alert('You picked: ' + sel_stud);
                    $.ajax({
                        type: "POST",
                        url: "another_php_file.php",
                        data: 'theOption=' + sel_stud,
                        success: function(whatigot) {
//alert('Server-side response: ' + whatigot);
                            $('#LaDIV').html(whatigot);
                            $('#theButton').click(function() {
                                alert('You clicked the button');
                            });
                        } //END success fn
                    }); //END $.ajax
                }); //END dropdown change event
            }); //END document.ready
        </script>
    </head>
<body>
    <select name="students" id="stSelect">
        <option value="">Please Select</option>
        <option value="John">John Doe</option>
        <option value="Mike">Mike Williams</option>
        <option value="Chris">Chris Edwards</option>
    </select>
    <div id="LaDIV"></div>
</body>
</html>
FILE 2 - another_php_file.php
<?php
//Login to database (usually this is stored in a separate php file and included in each file where required)
    $server = 'localhost'; //localhost is the usual name of the server if apache/Linux.
    $login = 'root';
    $pword = '';
    $dbname = 'test';
    mysql_connect($server,$login,$pword) or die($connect_error); //or die(mysql_error());
    mysql_select_db($dbname) or die($connect_error);
//Get value posted in by ajax
    $selStudent = $_POST['theOption'];
    //die('You sent: ' . $selStudent);
//Run DB query
    $query = "SELECT * FROM `category` WHERE `master` = 0";
    $result = mysql_query($query) or die('Fn another_php_file.php ERROR: ' . mysql_error());
    $num_rows_returned = mysql_num_rows($result);
    //die('Query returned ' . $num_rows_returned . ' rows.');
//Prepare response html markup
    $r = '  
            <h1>Found in Database:</h1>
            <select>
    ';
//Parse mysql results and create response string. Response can be an html table, a full page, or just a few characters
    if ($num_rows_returned > 0) {
        while ($row = mysql_fetch_assoc($result)) {
            $r = $r . '<option value="' .$row['id']. '">' . $row['name'] . '</option>';
        }
    } else {
        $r = '<p>No student by that name on staff</p>';
    }
//Add this extra button for fun
    $r = $r . '</select><button id="theButton">Click Me</button>';
//The response echoed below will be inserted into the 
    echo $r;
To answer the usual question: "How do you make the 2nd drop down box populate fields that are only relevant to a selected option from the 1st drop down box?"
A.  Inside the .change event for the first dropdown, you read the value of the first dropdown box:
    $('#dropdown_id').change(function() {
        var dd1 = $('#dropdown_id').val();
    }
B.  In your AJAX code for the above .change() event, you include that variable in the data you are sending to the 2nd .PHP file (in our case, "another_php_file.php")
C.  You use that passed-in variable in your mysql query, thereby limiting your results. These results are then passed back to the AJAX function and you can access them in the success: portion of the AJAX function
D.  In that success function, you inject code into the DOM with the revised SELECT values.
This is how the above example works:
- The user chooses a student name, which fires the jQuery - .change()selector
 
- Here is the line where it grabs the option selected by the user: - var sel_stud = $(this).val();
 
- This value is sent to - another_php_file.php, via this line of the AJAX code:
 - data: 'theOption=' + sel_stud,
 
- The receiving file - another_php_file.phpreceives the user's selection here:
 - $selStudent = $_POST['theOption'];
 
- Var $selStudent (the user's selection posted in via AJAX) is used in the mysql search: - $query = " SELECT * FROM `category` WHERE `master` = 0 AND `name` = '$selStudent' "; - (When changing the example to suit your database, the reference to $selStudent was removed. But this (here, above) is how you would use it). 
- We now build a new - <SELECT>code block, storing the HTML in a variable called- $r. When the HTML is fully built, I return the customized code back to the AJAX routine simply by echoing it back:
 - echo $r;
 
- The received data (the customized - <SELECT>code block) is available to us inside the AJAX- success: function() {//code block}, and I can inject it into the DOM here:
 - $('#LaDIV').html(whatigot);
 
And voila, you now see a second dropdown control customized with values specific to the choice from the first dropdown control.
Works like a non-Microsoft browser.