The two large, parallel conducting plates of area A are separated by a distance d. The slab of dielectric material (dielectric constant R) with the similar area A and a thickness d/3 is put in symmetrically among the plates, with the center of the slab at d/2 from all plate.

i) Determine the capacitance of the system with the slab in place?

ii)  When a charge Q and –Q is situated on the conducting plates, determine the bound surface charge on the slab?

iii) Determine the capacitance of the system if the slab is located right next to one of the plates?

iv) Determine the bound surface charge on the slab in the case, if Q and –Q are place on the conducting plates?

v) If 2Q is situated on the top plate and –Q is placed on the bottom, find the bound surface charge on the slab?