The diagrams below show regions of equipotentials.

  

A positive charge is moved from \(\mathrm A\) to \(\mathrm B\) in each diagram. Then:
1. the maximum work is required to move \(q\) in figure(iii).
2. in all four cases, the work done is the same.
3. the minimum work is required to move \(q\) in the figure(i).
4. the maximum work is required to move \(q\) in figure(ii).

Subtopic:  Equipotential Surfaces |
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Level 1: 80%+
NEET - 2017
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A capacitor of \(2~\mu\text{F}\) is charged as shown in the figure. When the switch \(S\) is turned to position \(2\), the percentage of its stored energy dissipated is:
         

1. \(20\%\) 2. \(75\%\)
3. \(80\%\) 4. \(0\%\)
Subtopic:  Energy stored in Capacitor |
 65%
Level 2: 60%+
NEET - 2016
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A parallel plate air capacitor of capacitance \(C\) is connected to a cell of emf \(V\) and then disconnected from it. A dielectric slab of dielectric constant \(K\), which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?
1. The potential difference between the plates decreases \(K\) times
2. The energy stored in the capacitor decreases \(K\) times
3. The change in energy stored is \({1 \over 2} CV^{2}(\frac{1}{K}-1)\)
4. The charge on the capacitor is not conserved

Subtopic:  Energy stored in Capacitor |
 72%
Level 2: 60%+
NEET - 2015
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\(A,B\) and \(C\) are three points in a uniform electric field. The electric potential is:
               

1. maximum at \(A\)
2. maximum at \(B\)
3. maximum at \(C\)
4. same at all the three points \(A,B\) and \(C\)
Subtopic:  Relation between Field & Potential |
 84%
Level 1: 80%+
NEET - 2013
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Two metallic spheres of radii \(1\) cm and \(3\) cm are given charges of \(-1\times 10^{-2}~\text{C}\) and \(5\times 10^{-2}~\text{C},\) respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:
1. \(2\times 10^{-2}~\text{C}\)
2. \(3\times 10^{-2}~\text{C}\)
3. \(4\times 10^{-2}~\text{C}\)
4. \(1\times 10^{-2}~\text{C}\)

Subtopic:  Electric Potential |
 70%
Level 2: 60%+
NEET - 2012
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A parallel plate condenser has a uniform electric field \(E\)(V/m) in the space between the plates. If the distance between the plates is \(d\)(m) and area of each plate is \(A(\text{m}^2)\), the energy (joule) stored in the condenser is:

1. \(\dfrac{1}{2}\varepsilon_0 E^2\) 2. \(\varepsilon_0 EAd\)
3. \(\dfrac{1}{2}\varepsilon_0 E^2Ad\) 4. \(\dfrac{E^2Ad}{\varepsilon_0}\)
Subtopic:  Energy stored in Capacitor |
 83%
Level 1: 80%+
NEET - 2021
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A series combination of \(n_1\) capacitors, each of value \(C_1\), is charged by a source of potential difference \(4\) V. When another parallel combination of \(n_2\) capacitors, each of value \(C_2\), is charged by a source of potential difference \(V\), it has the same (total) energy stored in it as the first combination has. The value of \(C_2\) in terms of \(C_1\) is:
1. \(\frac{2C_1}{n_1n_2}\)
2. \(16\frac{n_2}{n_1}C_1\)
3. \(2\frac{n_2}{n_1}C_1\)
4. \(\frac{16C_1}{n_1n_2}\)

Subtopic:  Energy stored in Capacitor |
 73%
Level 2: 60%+
NEET - 2010
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\(100\) capacitors each having a capacity of \(10~\mu\text{F}\) are connected in parallel and are charged by a potential difference of \(100\) kV. The energy stored in the capacitors and the cost of charging them, if electrical energy costs \(108\) paise per kWh, will be?
1. \(10^{7}\) joule and \(300\) paise
2. \(5\times 10^{6}\) joule and \(300\) paise
3. \(5\times 10^{6}\) joule and \(150\) paise
4. \(10^7\) joule and \(150\) paise
Subtopic:  Energy stored in Capacitor |
 60%
Level 2: 60%+
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The equivalent capacitance between \(A\) and \(B\) is:

         

1. \(2~\mu\text{F}\) 2. \(3~\mu\text{F}\)
3. \(5~\mu\text{F}\) 4. \(0.5~\mu\text{F}\)
Subtopic:  Combination of Capacitors |
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Level 2: 60%+
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A parallel plate capacitor has capacitance \(C\). If it is equally filled with parallel layers of materials of dielectric constants \(K_1\) and \(K_2\), its capacity becomes \(C_1\). The ratio of \(C_1\) to \(C\) is:

1. \(K_1 + K_2\) 2. \(\frac{K_{1} K_{2}}{K_{1}-K_{2}}\)
3. \(\frac{K_{1}+K_{2}}{K_{1} K_{2}}\) 4. \(\frac{2 K_{1} K_{2}}{K_{1}+K_{2}}\)
Subtopic:  Dielectrics in Capacitors |
 70%
Level 2: 60%+
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