Answer the following:
`(i)` If two similar large plates, each of area A having surface charge densities `+sigma` and `-sigma` are separated by a distance `d` in air,find the expression for
`(a)` field at points between the two plates and on outer side of the plates. Specify the direction of the field in each case.
`(b)` the potential difference between the plates.
`(c)` the capacitance of the capacitor so formed.
`(ii)` Two metallic spheres of radii `R` and `2R` are charged so that both of these have same surface charge density `sigma`. If they are connected to each other with a conducting wire, in which direction will the charge flow and why ?

Explanation

Let's break down the solution step by step:

### (i) Two large plates with surface charge densities +σ and -σ

#### (a) Electric Field at Points Between and Outside the Plates

1. **Electric Field Outside the Plates**:
- For the region outside the positively charged plate (+σ), the electric field \( E_1 \) is given by:
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