A point charge +Q is placed at the centre of an uncharged spherical conducting shell of inner radius a and outer radius b.
i. Find the electric field for `rlta`.
ii. What is the magnitude and sigh of the induced charge q' on the inner shell surface?
iii. What is the electric field at points `rgtb`?
iv. What id the surface charge on the outer surface of the conductor?

Explanation

To solve the problem step by step, we will analyze each part of the question regarding a point charge \( +Q \) placed at the center of an uncharged spherical conducting shell with inner radius \( a \) and outer radius \( b \).

### Step 1: Electric Field for \( r < a \)

To find the electric field inside the spherical conducting shell (for \( r < a \)), we can use Gauss's law.

1. **Choose a Gaussian surface**: A spherical surface of radius \( r \) where \( r < a \).
2. **Apply Gauss's law**:
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