Search option for 1 to many relationships

Rails
1

I made 1 to many relation ships with school and professor…search
option
is working for professor but not for school. here are the erorrs and my
code…please help—

ActiveRecord::RecordNotFound in ProfessorsController#index

Couldn’t find School without an ID

Rails.root: /home/vmuser/workspace/project3 -3
Application
Tracehttp://localhost:3000/professors?utf8=✓&search=taylor#|
Framework
Trace http://localhost:3000/professors?utf8=✓&search=taylor# |
Full
Trace http://localhost:3000/professors?utf8=✓&search=taylor#

app/controllers/professors_controller.rb:15:in `index’

codes in controller:
def index

    @school=School.find(params[:id])
      @professor [email protected]
     @professors =Professor.search(params[:search])

end

codes in index:
<%= form_tag professors_path, :method => :get do %>

<%= text_field_tag :search, params[:search] %> <%= submit_tag "Search", :name => nil %> <% end %>