Consider a uniform electric field in the \(z\text-\)direction. The potential is a constant:

(a) in all space.
(b) for any \(x\) for a given \( z.\)
(c) for any \( y\) for a given \( z.\)
(d) on the \({x\text-y}\) plane for a given \( z.\)

 
Choose the correct from the given options:

1. (c) and (d) only 2. (a) and (c) only
3. (b), (c) and (d) only 4. (a) and (b) only
Subtopic:  Relation between Field & Potential |
 85%
Level 1: 80%+
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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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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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The electric field at the origin is along the positive \(x\text-\)axis. A small circle is drawn with the centre at the origin cutting the axes at points \(\mathrm A\), \(\mathrm B\), \(\mathrm C\) and \(\mathrm D\) having coordinates \((a,0),(0,a),(-a,0),(0,-a)\) respectively. Out of the points on the periphery of the circle, the potential is minimum at:
1. \(\mathrm A\)
2. \(\mathrm B\)
3. \(\mathrm C\)
4. \(\mathrm D\)

Subtopic:  Relation between Field & Potential |
 67%
Level 2: 60%+
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