- 1(current)
Q. No.If potential \([\text{in volts}]\) in a region is expressed as \(V[x,y,z] = 6xy-y+2yz,\) the electric field \([\text{in N/C}]\) at point \((1, 1, 0)\) is:
| 1. | \(- \left(3 \hat{i} + 5 \hat{j} + 3 \hat{k}\right)\) | 2. | \(- \left(6 \hat{i} + 5 \hat{j} + 2 \hat{k}\right)\) |
| 3. | \(- \left(2 \hat{i} + 3 \hat{j} + \hat{k}\right)\) | 4. | \(- \left(6 \hat{i} + 9 \hat{j} + \hat{k}\right)\) |
Subtopic: Relation between Field & Potential |
85%
Level 1: 80%+
NEET - 2015
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In a region, the potential is represented by \(V=(x,y,z)=6x-8xy-8y+6yz,\) where \(V\) is in volts and \(x,y,z\) are in meters. The electric force experienced by a charge of \(2\) coulomb situated at a point \((1,1,1)\) is:
| 1. | \(6\sqrt{5}~\text{N}\) | 2. | \(30~\text{N}\) |
| 3. | \(24~\text{N}\) | 4. | \(4\sqrt{35}~\text{N}\) |
Subtopic: Relation between Field & Potential |
73%
Level 2: 60%+
AIPMT - 2014
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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 |
86%
Level 1: 80%+
AIPMT - 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%
Level 2: 60%+
AIPMT - 2011
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The electric potential at a point (x, y, z) is given by V = -x2y - xz3 + 4.
The electric field at that point is:
The electric field at that point is:
1. = (2xy + z3) + x2 + 3xz2
2. = 2xy + (x2 +y2) +(3xz-y2)
3. = z3 + xyz + z2
4. = (2xy- z3) + xy2 + 3z2x
2. = 2xy + (x2 +y2) +(3xz-y2)
3. = z3 + xyz + z2
4. = (2xy- z3) + xy2 + 3z2x
Subtopic: Relation between Field & Potential |
80%
Level 1: 80%+
AIPMT - 2009
Hints
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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%
Level 2: 60%+
AIPMT - 2008
Hints
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- 1(current)
Q. No.
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