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

1. maximum at \(\mathrm{A}\)
2. maximum at \(\mathrm{B}\)
3. maximum at \(\mathrm{C}\)
4. same at all the three points \(\mathrm{A},\mathrm{B} ~\text{and}~\mathrm{C}\)
Subtopic:  Relation between Field & Potential |
 83%
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 \((1,0,2)\) in volt/meter, is:
1. \(8\) along the negative \(X\text-\)axis
2. \(8\) along the positive \(X\text-\)axis
3. \(16\) along the negative \(X\text-\)axis
4. \(16\) along the positive \(X\text-\)axis
Subtopic:  Relation between Field & Potential |
 77%
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 |
 72%
From NCERT
AIPMT - 2008
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The figure shows some of the equipotential surfaces. Magnitude and direction of the electric field is given by:

              

1. \(200\) V/m, making an angle \(120^\circ\) with the \(x\text-\)axis 
2. \(100\) V/m, pointing towards the negative \(x\text-\)axis
3. \(200\) V/m, making an angle \(60^\circ\) with the \(x\text-\)axis
4. \(100\) V/m, making an angle \(30^\circ\) with the \(x\text-\)axis
Subtopic:  Relation between Field & Potential |
 55%
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 |
 55%
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 \(x=13\) m is:

1. \(7.5\) volt/meter  2. \(-7.5\) volt/meter
3. \(5\) volt/meter  4. \(-5\) volt/meter
Subtopic:  Relation between Field & Potential |
From NCERT
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