How to Determine the Electric Field Between Spherical Shells in a Capacitor?

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A spherical capacitor consists of two spherical conducting shell centered at the same
point, and their radii are R1 and R4, respectively. Between these two shells, a conductive
shell with inner and outer radii of R2 and R3 is inserted, as shown in Figure 3. If charge
the inner shell ( R1 ) with +Q.
(a) Determine the electric field between R1 and R4 .





I know that each of these charged spheres will provide E fields. Since e fields are vectors, my intention was to take the sum of all the e fields induced by the individual spherical shells. However i am unsure if my concept is sound. please advice. Thank you
 
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You can use Gauss's law to find this, keeping in mind that the conductor will have all its excess charge at the surface, and the field lines must be perpendicular at that surface.
 
alright thanks! i'll try that
 

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