A uniform electric field of intensity is shown in the figure. How many of the labelled points have the same electric potential as the fully shaded point?
            
1. \(2\) 2. \(3\)
3. \(8\) 4. \(11\)

Subtopic:  Equipotential Surfaces |
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Two point charges \(+ 5 ~\mu \text{C} ~\text{and}-2~\mu \text{C}\)  are kept at a distance of \(1~\text{m}\) in free space. The distance between the two zero potential points on the line joining the charges is: 
1. \({\dfrac 2 7} ~\text{m}\) 2. \({\dfrac 2 3}~\text{m}\)
3. \({\dfrac {22} {21}} ~\text{m}\) 4. \({\dfrac {20} {21}} ~\text{m}\)
Subtopic:  Electric Potential |
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A thin semi-circular ring of radius \(r\) has a positive charge \(q\) distributed uniformly over it. The net potential at the centre \(O\) is:
             
1. \(-\dfrac{q}{2 \pi^{} \varepsilon_{0} r^{}} \) 2. \(-\dfrac{q}{4 \pi^{} \varepsilon_{0} r^{}} \)
3. \(\dfrac{q}{4 \pi^{} \varepsilon_{0} r^{}} \) 4. \(0\)
Subtopic:  Electric Potential |
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The angle between the electric lines of force and the equipotential surface is: 
1. \(180^\circ\)
2. \(0^\circ\)
3. \(45^\circ\)
4. \(90^\circ\)
Subtopic:  Equipotential Surfaces |
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NEET - 2022
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Three capacitors, each of capacitance \(0.3~\mu \text{F}\) are connected in parallel. This combination is connected with another capacitor of capacitance \(0.1~\mu \text{F}\) in series. Then the equivalent capacitance of the combination is:
1. \(0.9~\mu\text{F}\)
2. \(0.09~\mu\text{F}\)
3. \(0.1~\mu\text{F}\)
4. \(0.01~\mu\text{F}\)
Subtopic:  Combination of Capacitors |
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NEET - 2022
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Given below are two statements: 
Assertion (A): In the absence of an externally applied electric field, the displacement per unit volume of a polar dielectric material is always zero.
Reason (R): In polar dielectrics, each molecule has a permanent dipole moment, but these dipoles are randomly oriented when there is no external electric field.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Dielectrics in Capacitors |
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Energy per unit volume for a capacitor having area \(A\) and separation \(d\) kept at the potential difference \(V\) is given by:
1. \(\dfrac{1}{2} \varepsilon_{o} \dfrac{V^{2}}{d^{2}}\) 2. \(\dfrac{1}{2 \varepsilon_{o}} \dfrac{V^{2}}{d^{2}}\)
3. \(\dfrac{1}{2} C V^{2}\) 4. \(\dfrac{Q^{2}}{2 C}\)
Subtopic:  Energy stored in Capacitor |
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How will the voltage \((V)\) between the two plates of a parallel plate capacitor depend on the distance \((d)\) between the plates, if the charge on the capacitor remains the same?
1. 2.
3. 4.
Subtopic:  Capacitance |
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Two capacitors, each having a capacitance of \(40~\mu\text F\) are connected in series. The space between one of the capacitors is filled with a dielectric material of dielectric constant \(K,\) such that the equivalent capacitance of the system becomes \(24~\mu\text F.\) The value of \(K\) will be:
1. \(1.5\)
2. \(2.5\)
3. \(1.2\)
4. \(3\)
Subtopic:  Dielectrics in Capacitors |
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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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