\(A,B\) 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 |
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Level 1: 80%+
NEET - 2013
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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 |
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Level 2: 60%+
AIPMT - 2008
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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 |
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Level 3: 35%-60%
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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 |
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Level 3: 35%-60%
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The electric field intensity and the electric potential at a point are \(E\) and \(V\) respectively. Which of the following is correct?
1. If \(E\neq0,V\) cannot be zero
2. If \(V\neq0, E\) cannot be zero
3. If \(V\) is constant and non-zero, \(E\) must be zero
4. If \(V=0,E\) must be zero
Subtopic:  Relation between Field & Potential |
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Level 2: 60%+
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In a certain region of space with volume \(0.2~\text m^3,\) the electric potential is found to be \(5~\text V\) throughout. The magnitude of the electric field in this region is:

1. \(0.5~\text {N/C}\) 2. \(1~\text {N/C}\)
3. \(5~\text {N/C}\) 4. zero
Subtopic:  Relation between Field & Potential |
 77%
Level 2: 60%+
NEET - 2020
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An electric field \(\vec{E} = 10 x \hat{i}\) exists in a certain region of space. Then the potential difference \(V = V_0-V_A,\) where \(V_0\) is the potential at the origin and \(V_A\) is the potential at \(x=2\) m is:
1. \(10\) 2. \(-20\) V
3. \(+20\) V 4. \(-10\) V
Subtopic:  Relation between Field & Potential |
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The potential field of an electric field \(E = y\hat i + x\hat j\) is:
1. \(V = -x+y+\) constant
2. \(V\) = constant
3. \(V=-\left({x}^2+{y}^2\right)+\) constant
4. \(V=-x y+\) constant
Subtopic:  Relation between Field & Potential |
Level 3: 35%-60%
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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 |
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Level 2: 60%+
AIPMT - 2011
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Work done to carry a negatively charged body in direction of the electric field:
(assuming no other force is acting on the body)

1. is always negative. 2. maybe negative.
3. is always positive. 4. maybe zero.

Subtopic:  Relation between Field & Potential |
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