In the adjoining figure, four capacitors are shown with their respective capacities and the P.D. applied. The charge and the P.D. across the 4 μF capacitor will be

(1) 600 μC; 150 volts

(2) 300 μC; 75 volts

(3) 800 μC; 200 volts

(4) 580 μC; 145 volts

Subtopic:  Combination of Capacitors |
From NCERT
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In the connections shown in the adjoining figure, the equivalent capacity between \(A\) and \(B\) will be:

      

1. \(10.8~\mu\text{F}\)
2. \(69~\mu\text{F}\)
3. \(15~\mu\text{F}\)
4. \(10~\mu\text{F}\)

Subtopic:  Combination of Capacitors |
 73%
From NCERT
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2 μF capacitance has potential difference across its two terminals 200 volts. It is disconnected with battery and then another uncharged capacitance is connected in parallel to it, then P.D. becomes 20 volts. Then the capacity of another capacitance will be 

(1) 2 μF

(2) 4 μF

(3) 18 μF

(4) 10 μF

Subtopic:  Capacitance |
 72%
From NCERT
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The resultant capacitance across 300 v battery in the figure shown is equal to

(1) 1 μF

(2) 31120 μF

(3) 2 μF

(4) 12031μF

Subtopic:  Combination of Capacitors |
 83%
From NCERT
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A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of the resulting system 

1. increases by a factor of 4

2.decreases by a factor of 2

3. remain the same 

4. increases by a factor of 2

Subtopic:  Energy stored in Capacitor |
 64%
From NCERT
NEET - 2017
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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 |
 90%
From NCERT
NEET - 2017
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An electric dipole is place at an angle of \(30^{\circ}\) with an electric field intensity \(2\times10^{5}~\text{N/C}\). It experiences a torque equal to \(4~\text{Nm}\). The charge on the dipole, if the dipole length is \(2~\text{cm}\), is: 

1. \(8~\text{mC}\) 2. \(2~\text{mC}\)
3. \(5~\text{mC}\) 4. \(7~\mu\text{C}\)

Subtopic:  Energy of Dipole in an External Field |
 86%
From NCERT
NEET - 2016
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A parallel-plate capacitor of area A, plate separation d, and capacitance C is filled with four dielectric materials having dielectric constants k1,k2,k3 and k4 as shown in the figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by

       

(a) k=k1+k2+k3+3k4

(b) k=23k1+k2+k3+2k4

(c) 1k=32k1+k2+k3+12k4

(d) 1k=1k1+1k2+1k3+32k4

Subtopic:  Dielectrics in Capacitors |
 68%
From NCERT
NEET - 2016
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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 |
 64%
From NCERT
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 |
 71%
From NCERT
NEET - 2015
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