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question_answer1) Two metal plates form a parallel plate condenser. The distance between the plates is d. A metal plate of thickness \[d/2\]and of the same area is inserted completely between the plates. The ratio of capacitances in the two cases (later to initial) is-
question_answer2) What is the equivalent capacitance (in C) of the system of capacitors between A & B
question_answer3) The equivalent capacity \[(in\text{ }pF)\] between the terminals X and Y in the figure shown will be ?
question_answer4) A parallel plate capacitor has square plates separated by an air gap 0.012 mm wide. If the length of the sides of the plates are tripled, what is the separation (in mm) required to keep the capacitance the same?
question_answer5) In a parallel plate capacitor, the separation between the plates is 3mm with air between them. Now a 1mm thick layer of a material of dielectric constant 2 is introduced between the plates due to which the capacity increases. In order to bring its capacity of the original value, the separation (in mm) between the plates must be made-
question_answer6) A capacitor of capacitance\[1\mu F\]withstands a maximum voltage of\[6kV\], while another capacitor of capacitance\[2\mu F\], the maximum voltage 4 kV. If they are connected in series, the combination can withstand a maximum of-\[(in\text{ }kV)\]
question_answer7) A \[10V\]power source charges a\[5\mu F\]capacitor with air as its dielectric. The power source is removed and the air gap is carefully replaced with a material of dielectric constant\[K=5\]. What is the final charge on the capacitor? \[(in\,\mu F)\]
question_answer8) A parallel plate capacitor has a capacitance of\[19.2\mu F\], when the insulator between the plates is glass, \[K=8.0\]. When the glass is replaced with rubber, the capacitance between the plates is\[6.0\mu F\]. What is the dielectric constant of the rubber?
question_answer9) A capacitor of capacitance\[160\mu F\]is charged to a potential difference of \[200V\] and then connected across a discharge tube which conducts until the potential difference across it has failed to\[100V\]. The energy (in J) dissipated in the tube is-
question_answer10) A parallel-plate capacitor is filled by a dielectric whose dielectric whose dielectric constant varies with the applied voltage according to the law\[\varepsilon =\alpha V\], where\[\alpha =1{{V}^{-1}}\]. The same (but containing no dielectric) capacitor charged to a voltage \[{{V}_{0}}=156V\]is connected in parallel to the first ?nonlinear? uncharged capacitor. Determine the final voltage V across the capacitors-\[(in\text{ }V)\]
question_answer11) There are six plates of equal area A and separation between the plates is\[d(d<<A)\]are arranged as shown in figure. The equivalent capacitance between points 2 and 5, is\[\alpha \frac{{{\in }_{0}}A}{d}\]. Then find the value of a.
question_answer12) Two large conducting plates are placed parallel to each other with a separation of d cm between them. An electron of mass m starting from rest near one of the plates reaches the other plate in\[t\text{ }sec\]. The surface charge density on the inner surfaces\[x\times \frac{m{{\varepsilon }_{0}}d}{e{{t}^{2}}}\]. Find the value of x is
question_answer13) What amount of heat\[(in\,\mu J)\] will be generated in the circuit shown in the figure when the switch S is shifted from position 1 to 2? \[\left( C=1\mu F,{{E}_{2}}=2volt,{{E}_{1}}=1volt \right)\]
question_answer14) Figure shows two parallel plate capacitors with fixed plates and connected to two batteries. The separation between the plates is the same for the two capacitors. The plates are rectangular in shape with width b and lengths \[{{l}_{1}}\] and\[{{l}_{2}}\]. The left half of the dielectric slab has a dielectric constant \[{{K}_{1}}\]and the right half\[{{K}_{2}}\]. Neglecting any friction, find the ratio of the emf of the left battery to that of the right battery for which the dielectric slab may remain in equilibrium. \[\left( {{K}_{2}}=10,{{K}_{1}}=2 \right)\]
question_answer15) Find the equivalent capacitance in \[\mu F\]of the circuit between point A and B.\[(C=2\mu F)\]
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