The electric field at the origin is along the positive x-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 |
 68%
From NCERT
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Consider the situation of the figure. The work done in taking a point charge from \(\mathrm{P}\) to \(\mathrm{A}\) is \(W_{\mathrm{A}}\) , from \(\mathrm{P}\) to \(\mathrm{B}\) is \(W_{\mathrm{B}}\) and from \(\mathrm{P}\) to \(\mathrm{C}\) is \(W_{\mathrm{C}}\). Then:

      
1. \(W_{\mathrm{A}}<W_{\mathrm{B}}<W_{\mathrm{C}}\)
2. \(W_{\mathrm{A}}>W_{\mathrm{B}}>W_{\mathrm{C}}\)
3. \(W_{\mathrm{A}}=W_{\mathrm{B}}=W_{\mathrm{C}}\)
4. none of these

Subtopic:  Electric Potential Energy |
 65%
From NCERT
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A point charge \(q\) is rotated along a circle in the electric field generated by another point charge \(Q\). The work done by the electric field on the rotating charge in one complete revolution is:

1. zero.
2. positive.
3. negative.
4. zero if the charge \(Q\) is at the centre and non-zero otherwise.

Subtopic:  Electric Potential |
 74%
From NCERT
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The electric field and the electric potential at a point are E and V respectively.

(a) If E = 0, V must be zero.

(b) If V = 0, E must be zero.

(c) If E ≠ 0, V cannot be zero.

(d) If V ≠ 0, E cannot be zero

Choose the coorect option 

1. (a) only 

2. (b) , (c) 

3. (c) , (d) 

4. None of these 

Subtopic:  Relation between Field & Potential |
From NCERT
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The electric potential decreases uniformly from 120 V to 80 V as one moves on the x-axis from x = –1 cm to x = +1 cm. The electric field at the origin

(a) must be equal to 20 V cm–1

(b) may be equal to 20 V cm–1

(c) may be greater than 20 V cm–1

(d) may be less than 20 V cm–1

Choose the coorect option 

1. (a) only 

2. (b) , (c) 

3. (c) , (d) 

4. (a) , (d) 

Subtopic:  Relation between Field & Potential |
From NCERT
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Which of the following quantities do not depend on the choice of zero potential or zero potential energy?

(a) potential at a point
(b) potential difference between two points
(c) potential energy of a two-charge system
(d) change in potential energy of a two-charge system.
Choose the correct option: 
1. (a) only 
2. (b), (c) 
3. (b), (d) 
4. (a), (d) 

Subtopic:  Electric Potential Energy |
 55%
From NCERT
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The electric field in a region is directed outward and is proportional to the distance r from the origin. Taking the electric potential at the origin to be zero,

(a) it is uniform in the region

(b) it is proportional to r

(c) it is proportional to r2

(d) it increases as one goes away from the origin.

 Choose the coorect option 

1. (a) only 

2. (b) , (c) 

3. (c) only 

4. (a) , (d) 

Subtopic:  Relation between Field & Potential |
 53%
From NCERT
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A thin, metallic spherical shell contains a charge \(\mathrm{Q}\) on it. A point charge \(\mathrm{q}\) is placed at the centre of the shell and another charge \(\mathrm{q}_1\) is placed outside as it is shown in the figure. All the three charges are positive. The force on the charge at the centre is:
         
1. towards left
2. towards right
3. upward
4. zero

Subtopic:  Electrostatic Shielding |
 65%
From NCERT
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Consider the situation of the previous problem. The force on the central charge due to the shell is


1. towards left

2. towards right

3. upward

4. zero.

Previous problem: A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in figure. All the three charges are positive.
                       

Subtopic:  Electrostatic Shielding |
From NCERT
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A capacitor of capacitance \(C\) is charged to a potential \(V.\) The flux of the electric field through a closed surface enclosing the capacitor is:
1. \( CV \over \varepsilon_0\)

2. \(2 CV \over \varepsilon_0\)

3. \( CV \over2 \varepsilon_0\)

4. zero

Subtopic:  Capacitance |
 61%
From NCERT
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