An electric field \({\vec{E}=(25\hat{i}+30\hat{j})~\text{NC}^{-1}}\) exists in a region of space. If the potential at the origin is taken to be zero then the potential at \({x=2}~\text{m},\) \({y=2}~\text{m}\) is:
1. \({-110}~\text{J}\)
2. \({-140}~\text{J}\)
3. \({-120}~\text{J}\)
4. \({-130}~\text{J}\)
Subtopic:  Relation between Field & Potential |
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The tangent at any point of an equipotential surface makes an angle \(\theta\) with the electric intensity vector at that point such that:
1. \(\theta=0^\circ\)
2. \(\theta=90^\circ\)
3. \(\theta=120^\circ\)
4. \(\theta=180^\circ\)
Subtopic:  Relation between Field & Potential |
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\(A\), \(B\) and \(C\) are three points in a uniform electric field. The electric potential is: 

     
1. maximum at \(B\)
2. maximum at \(C\)
3. same at all the three points \(A, B\) and \(C\)
4. maximum at \(A\)
Subtopic:  Relation between Field & Potential |
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Level 1: 80%+
AIPMT - 2013
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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 |
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NEET - 2020
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The electric potential at any point \((x,y,z)~\text m\) in space is given by \(V=3x^{2}~\text V.\) The electric field at the point \((1,0,3)~\text m\) will be: 
1. \(3~\text{V/m},\) directed along the positive \(x\text-\)axis 
2. \(3~\text{V/m},\) directed along the negative \(x\text-\)axis 
3. \(6~\text{V/m},\) directed along the positive \(x\text-\)axis 
4. \(6~\text{V/m},\) directed along the negative \(x\text-\)axis 
Subtopic:  Relation between Field & Potential |
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