Charge Arrangement:
The given charge arrangement consists of two positive point charges, q1 and q2, placed a distance d apart along the x-axis. Let's analyze the graph of the electric field with distance r from the charge arrangement.

Explanation:

1. Electric Field due to q1:
The electric field at a point due to a point charge is given by the equation E = k * q / r^2, where k is the Coulomb's constant, q is the charge, and r is the distance from the charge.

- At a point very close to q1 (r < d),="" the="" electric="" field="" will="" be="" approximately="" equal="" to="" the="" electric="" field="" due="" to="" a="" single="" point="" charge="" q1.="" the="" graph="" will="" show="" a="" steep="" increase="" in="" the="" electric="" />
- As the distance increases (r > d), the contribution of q1 to the electric field decreases. The graph will start to flatten out.

2. Electric Field due to q2:
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- As the distance increases (r > d), the contribution of q2 to the electric field decreases. The graph will start to flatten out, similar to the case of q1.

3. Electric Field at a point between q1 and q2:
- The electric field at a point between q1 and q2 is the vector sum of the electric fields due to q1 and q2. The direction of the electric field due to q1 will be towards q1, and the direction of the electric field due to q2 will be towards q2.
- As we move away from the charge arrangement (r > d), the electric field due to q1 and q2 will decrease, and the graph will flatten out.

4. Electric Field at a point far away from the charge arrangement:
- At a point far away from the charge arrangement (r >> d), the electric field due to q1 and q2 will become negligible compared to the electric field due to the combined charge of q1 and q2. The graph will show a relatively constant electric field.

Summary:
- The graph of the electric field with distance r from the given charge arrangement will initially show a steep increase for points close to q1 and q2.
- As the distance increases, the graph will flatten out.
- At points between q1 and q2, the graph will represent the vector sum of the electric fields due to q1 and q2.
- At points far away from the charge arrangement, the graph will show a relatively constant electric field.