\(A,B\) and \(C\) are three points in a uniform electric field. The electric potential is:
               

1. maximum at \(A\)
2. maximum at \(B\)
3. maximum at \(C\)
4. same at all the three points \(A,B\) and \(C\)
Subtopic:  Relation between Field & Potential |
 84%
From NCERT
NEET - 2013
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The electric potential \(V\) at any point \((x,y,z)\), all in meters in space is given by \(V= 4x^2~\text{volt}.\) The electric field at the point \((1,0,2)\) is:
1. \(8~\text{V/m},\) along the negative \(x\text-\)axis
2. \(8~\text{V/m},\) along the positive \(x\text-\)axis
3. \(16~\text{V/m},\) along the negative \(x\text-\)axis
4. \(16~\text{V/m},\) along the positive \(x\text-\)axis
Subtopic:  Relation between Field & Potential |
 79%
From NCERT
AIPMT - 2011
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The electric potential at a point in free space due to a charge \(Q\) coulomb is \(Q\times10^{11}~\text{V}\). The electric field at that point is:
1. \(4\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)
2. \(12\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
3. \(4\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
4. \(12\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)

Subtopic:  Relation between Field & Potential |
 73%
From NCERT
AIPMT - 2008
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The figure shows some of the equipotential surfaces. The magnitude and direction of the electric field are given by:

                

1. \(200~\text{V/m},\) making an angle \(120^\circ\) with the \(x\text-\)axis 
2. \(100~\text{V/m},\) pointing towards the negative \(x\text-\)axis
3. \(200~\text{V/m},\) making an angle \(60^\circ\) with the \(x\text-\)axis
4. \(100~\text{V/m},\) making an angle \(30^\circ\) with the \(x\text-\)axis
Subtopic:  Relation between Field & Potential |
 56%
From NCERT
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In a region of constant potential:
(a). the electric field is uniform
(b). the electric field is zero
(c). there can be no charge inside the region
(d). the electric field shall necessarily change if a charge is placed outside the region

Choose the correct statement(s): 

1. (b) and (c) 2. (a) and (c)
3. (b) and (d) 4. (c) and (d)
Subtopic:  Relation between Field & Potential |
 57%
From NCERT
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The variation of potential with distance \(x\) from a fixed point is shown in the figure. The electric field at \(x=13~\text m\) is:
     

1. \(7.5~\text{V/m}\) 2. \(-7.5~\text{V/m}\)
3. \(5~\text{V/m}\) 4. \(-5~\text{V/m}\)
Subtopic:  Relation between Field & Potential |
 51%
From NCERT
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