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question_answer1)
A parallel plate capacitor has plates of area \[A\] and separation \[d\] and is charged to a potential difference\[V\]. The charging battery is then disconnected and the plates are pulled apart until their separation is 2\[d\]. What is the work required to separate the plates?
A)
\[2{{\varepsilon }_{0}}A{{V}^{2}}/d\] done
clear
B)
\[{{\varepsilon }_{0}}A{{V}^{2}}/d\] done
clear
C)
\[3{{\varepsilon }_{0}}A{{V}^{2}}/d\] done
clear
D)
\[{{\varepsilon }_{0}}A{{V}^{2}}/2d\] done
clear
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question_answer2)
In the circuit shown, the effective capacitance between points\[X\] and \[Y\]is
A)
\[3.33\mu F\] done
clear
B)
\[1\,\mu F\] done
clear
C)
\[0.44\,\mu F\] done
clear
D)
None of these done
clear
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question_answer3)
In the circuit shown in figure,\[{{C}_{1}}=6\,\mu F,\]\[{{C}_{2}}=3\,\mu F\], and battery B = 20 V. The switch \[{{S}_{1}}\] is first closed. It is then opened, and \[{{S}_{2}}\] is closed. What is the final charge on\[{{C}_{2}}\]?
A)
\[120\mu C\] done
clear
B)
\[80\mu C\] done
clear
C)
\[40\mu C\] done
clear
D)
\[20\mu C\] done
clear
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question_answer4)
4. In the figure, a capacitor is filled with dielectrics. The dii resultant capacitance is
A)
\[\frac{2{{\varepsilon }_{0}}A}{d}\left[ \frac{1}{{{K}_{1}}}+\frac{1}{{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]\] done
clear
B)
\[\frac{{{\varepsilon }_{0}}A}{d}\left[ \frac{1}{{{K}_{1}}}+\frac{1}{{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]\] done
clear
C)
\[\frac{2{{\varepsilon }_{0}}A}{d}\left[ {{K}_{1}}+{{K}_{2}}+{{K}_{3}} \right]\] done
clear
D)
None of these done
clear
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question_answer5)
If there are \[n\] capacitors in parallel connected to a\[V\] volt source, then the energy stored is equal to
A)
\[CV\] done
clear
B)
\[\frac{1}{2}nC{{V}^{2}}\] done
clear
C)
\[C{{V}^{2}}\] done
clear
D)
\[\frac{1}{2n}C{{V}^{2}}\] done
clear
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question_answer6)
The capacitance (in F) of a spherical conductor of radius 1 m is
A)
\[1.1\times {{10}^{-10}}\] done
clear
B)
\[{{10}^{-6}}\] done
clear
C)
\[9\times {{10}^{-9}}\] done
clear
D)
\[{{10}^{-3}}\] done
clear
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question_answer7)
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
A)
Decreases done
clear
B)
Remains unchanged done
clear
C)
Becomes infinite done
clear
D)
Increases done
clear
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question_answer8)
Two capacitors \[{{C}_{1}}\] and \[{{C}_{2}}\] are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then
A)
\[3{{C}_{1}}\,=\,5{{C}_{2}}\] done
clear
B)
\[3{{C}_{1}}\,+\,5{{C}_{2}}=0\] done
clear
C)
\[9{{C}_{1}}\,=\,4{{C}_{2}}\] done
clear
D)
\[5{{C}_{1}}\,=\,3{{C}_{2}}\] done
clear
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question_answer9)
The capacity and the energy stored in a parallel plate condenser with air between its plates are respectively \[{{C}_{0}}\] and \[{{W}_{0}}\]. If the air is replaced by glass (dielectric constant = 5) between the plates, the capacity of the plates and the energy stored in it will respectively be
A)
\[5{{C}_{0,}}5{{W}_{0}}\] done
clear
B)
\[5{{C}_{0,}}\frac{{{W}_{0}}}{5}\] done
clear
C)
\[\frac{{{C}_{0}}}{5},5{{W}_{0}}\] done
clear
D)
\[\frac{{{C}_{0}}}{5},\frac{{{W}_{0}}}{5}\] done
clear
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question_answer10)
A parallel plate capacitor of plate area A and plate separation d is charged to potential V and then the battery is disconnected. A slab of dielectric constant K is then inserted between the plates of the capacitors so as to fill the space between the plates. If Q, E and W denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then state incorrect relation from the following
A)
\[Q=\frac{{{\varepsilon }_{0}}AV}{d}\] done
clear
B)
\[W=\frac{{{\varepsilon }_{0}}A{{V}^{2}}}{2Kd}\] done
clear
C)
\[E=\frac{{{V}^{{}}}}{Kd}\] done
clear
D)
\[W=\frac{{{\varepsilon }_{0}}A{{V}^{2}}}{2d}\left( 1-\frac{1}{K} \right)\] done
clear
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question_answer11)
The capacity of a parallel plate capacitor with no dielectric substance but with a separation of 0.4 cm is\[2\mu F\]. The separation is reduced to half and it is filled with a dielectric substance of value 2.8. The final capacity of the capacitor is
A)
\[11.2\mu F\] done
clear
B)
\[15.6\mu F\] done
clear
C)
\[19.2\mu F\] done
clear
D)
\[22.4\mu F\] done
clear
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question_answer12)
The equivalent capacitance of three capacitors of Capacitance \[{{C}_{1}}:{{C}_{2}}\] and \[{{C}_{3}}\]are connected in parallel is 12 units and product\[{{C}_{1}}.{{C}_{2}}.{{C}_{3}}=48\]. When the capacitors \[{{C}_{1}}\] and \[{{C}_{2}}\] are connected in parallel, the equivalent capacitance is 6 units. Then the capacitance are
A)
2, 3, 7 done
clear
B)
1.5, 2.5, 8 done
clear
C)
1, 5, 6 done
clear
D)
4, 2, 6 done
clear
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question_answer13)
Two identical capacitors, have the same capacitance\[C\]. One of them is charged to potential \[{{V}_{1}}\] and the other to \[{{V}_{2}}\] the negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is
A)
\[\frac{1}{4}C({{V}^{2}}_{{{1}^{{}}}}-{{V}^{2}}_{2})\] done
clear
B)
\[\frac{1}{4}C({{V}^{2}}_{1}+{{V}^{2}}_{2})\] done
clear
C)
\[\frac{1}{4}C{{({{V}_{1}}-{{V}_{2}})}^{2}}\] done
clear
D)
\[\frac{1}{4}C{{({{V}_{1}}+{{V}_{2}})}^{2}}\] done
clear
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question_answer14)
Three plates of common surface area \[A\] are connected as shown. The effective capacitance will be
A)
\[\frac{{{\varepsilon }_{0}}A}{d}\] done
clear
B)
\[\frac{3{{\varepsilon }_{0}}A}{d}\] done
clear
C)
\[\frac{3}{2}\frac{{{\varepsilon }_{0}}A}{d}\] done
clear
D)
\[\frac{2{{\varepsilon }_{0}}A}{d}\] done
clear
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question_answer15)
The capacities and connection of. five capacitors are shown in the adjoining figure. The potential difference between the points A and B is 60 volts. Then the equivalent capacity between A and B and the charge on \[5\mu F\] capacitance will be respectively
A)
\[44\mu F;\,\,300\mu C\] done
clear
B)
\[16\mu F;\,\,150\mu C\] done
clear
C)
\[15\mu F;\,\,200\mu C\] done
clear
D)
\[4\mu F;\,\,50\mu C\] done
clear
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question_answer16)
A parallel plate capacitor has capacitance C when no dielectric between the plates. Now a slab of dielectric constant K, having same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
A)
\[(K+1)\frac{C}{4}\] done
clear
B)
\[(K+2)\frac{C}{4}\] done
clear
C)
\[(K+3)\frac{C}{4}\] done
clear
D)
\[\frac{KC}{4}\] done
clear
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question_answer17)
The potentials of the two plates of capacitor are +10V and -10 V. The charge on one of the plates is 40C. The capacitance of the capacitor is
A)
2 F done
clear
B)
4 F done
clear
C)
0.5 F done
clear
D)
0.25 F done
clear
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question_answer18)
In the figure initial status of capacitor and their connection is shown. Which of the following is incorrect about this circuit?
A)
Final charge on each capacitor will be zero done
clear
B)
Final total electrical energy of the capacitors will be zero done
clear
C)
Total charge flown from A to D is \[30\mu C\] done
clear
D)
Total charge flown from A to D is -\[30\mu C\] done
clear
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question_answer19)
An uncharged capacitor is connected to a battery. On charging the capacitor
A)
All the energy supplied is siorea m me capacnor done
clear
B)
Half the energy supplied is stored in the capacitor done
clear
C)
The energy stored depends upon the capacity of the capacitor only done
clear
D)
The energy stored depends upon the time for which the capacitor is charged done
clear
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question_answer20)
For section AB of a circuit shown in figure,\[{{C}_{1}}=1\mu F\], \[{{C}_{2}}=2\mu F\], \[E=10V\], and the potential difference \[{{V}_{A}}-{{V}_{B}}=10V\]. Charge on capacitor \[{{C}_{1}}\] is
A)
\[0\mu C\] done
clear
B)
\[20/3\mu C\] done
clear
C)
\[40/3\mu C\] done
clear
D)
None of these done
clear
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question_answer21)
A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance 2C is connected to another battery and is charged to potential difference 2K The charging batteries are now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is \[\frac{n}{2}C{{V}^{2}}\] . Find the value of n.
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question_answer22)
In the given circuit if point C is connected to the earth and a potential of+2000 V is given to the point A, the potential (in V) at B is _______.
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question_answer23)
A capacitor of capacitance \[{{C}_{1}}=\,1\mu F\] charged up to a voltage V= 110 V is connected in parallel to the terminals of a circuit consisting of two uncharged capacitors connected in series and possessing capacitances \[{{C}_{2}}=\,2\mu F\] and \[{{C}_{3}}=\,3\mu F\]. Then, the amount of charge (in \[\mu C\]) that will flow through the connecting wires is
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question_answer24)
A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its plates is d. The space between the plates is now filled with two= dielectrics. One of the dielectrics has dielectric constant \[{{K}_{1}}=3\] and thickness d/3 while the other one has dielectric constant \[{{K}_{2}}=6\] and thickness 2d/3. What is the capacitance (in pF) of the capacitor?
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question_answer25)
In a parallel plate condenser, the radius of each circular plate is 12 cm and the distance between the plates is 5mm. There is a glass slab of 3mm thick and of radius 12cm with dielectric constant 6 between its plates. The capacity (in pF) of the condenser will be ______.
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