If \(E\) and \(V\) are electric field and electric potential respectively due to a point charge, then which of the following graphs best represents their variation?                

1. 2.
3. 4.
Subtopic:  Relation between Field & Potential |
Level 4: Below 35%
Hints

The electric field (\(E\)) and potential (\(V\)) due to the field are related as \(E=-\dfrac{dV}{dr}\). For the \(V\) vs \(r\) graph shown, identify the correct \(E\) vs \(r\) graph:
           
1. 2.
3. 4.
Subtopic:  Relation between Field & Potential |
Level 3: 35%-60%
Hints

The variation of potential with distance \(R\) from a fixed point is shown in the figure. The electric field at \(R=5~\text{m}\) is:
(Given, the potential, \(V\) in volts and distance, \(R\) in meters)
1. \(2.5~\text{Vm}^{-1}\) 2. \(-2.5~\text{Vm}^{-1}\)
3. \(\dfrac{2}{5}~\text{Vm}^{-1}\) 4. \(-\dfrac{2}{5}~\text{Vm}^{-1}\)
Subtopic:  Relation between Field & Potential |
Level 3: 35%-60%
Hints

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