JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank

done Numerical Value Type Questions - Electrostatic Potential and Capacitance Total Questions - 15

• question_answer1)
  In the figure shown below, the charge on the left plate of the \[10\mu F\] capacitor is \[-30\mu C.\] The charge \[(in\,\,\mu C)\] on the right plate of the \[6\mu F\] capacitor is:
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• question_answer2)
  A parallel plate capacitor with plates of area \[1\text{ }{{m}^{2}}\]each, are at a separation of 0.1m. If the electric field between the plates is 100 N/C, the magnitude of charge (in coulomb) on each plate is: \[(Take{{\in }_{0}}=8.85\times {{10}^{-12}}\frac{{{C}^{2}}}{N-{{M}^{2}}})\]
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• question_answer3)
  Voltage rating of a parallel plate capacitor is 500 V. Its dielectric can withstand a maximum electric field of \[{{10}^{6}}V/m\]. The plate area is \[{{10}^{-4}}{{m}^{2}}.\] What is the dielectric constant if the capacitance is 15 pF? \[\left( given\,\,{{\in }_{0}}\text{=}\,\,8.86\times {{10}^{-12}}{{C}^{2}}{{m}^{2}} \right)\]
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• question_answer4)
  A parallel plate capacitor has \[1\mu F\]capacitance. One of its two plates is given \[+2\mu C\] charge and the other plate, \[+4\mu C\]charge. The potential difference (in volt) developed across the capacitor is :
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• question_answer5)
  The electric field in a region is given by \[\overrightarrow{E}=(Ax+B)\hat{i},\] where E is in \[N{{C}^{-1}}\] and x is in metres. The values of constants are \[A=20\]SI unit and \[B=10\] SI unit. If the potential at \[x=1\] is \[{{V}_{1}}\] and that at \[x=-5\] is \[{{V}_{2}}\], then \[{{V}_{1}}-{{V}_{2}}\] (in volt) is:
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• question_answer6)
  Determine the charge (in coulomb) on the capacitor in the following circuit:
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• question_answer7)
  A capacitor with capacitance \[5\mu F\] is charged to  \[5\mu C.\] If the plates are pulled apart to reduce the capacitance to \[2\mu F\], how much work (in joule) is done?
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• question_answer8)
  In the given circuit, the charge \[(in\,\mu C)\]on \[4\mu F\]capacitor will be :
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• question_answer9)
  The electric potential is\[V=({{x}^{2}}\text{-}2x)\]. What is the electrified strength at\[x=1?\]
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• question_answer10)
  The 1000 small droplets of water each of radius r and charge Q, make a big drop of spherical shape. The potential of big drop is how many times the potential of one small droplet?
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• question_answer11)
  A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential (in volt) at a distance of 2 cm from the centre of the sphere is
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• question_answer12)
  From a point charge, there is a fixed point A at some distance. At A, there is an electric field of 500 V/m and potential difference of 3000 V. Distance (in metre) between point charge and A will be
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• question_answer13)
  A solid conducting sphere of radius a is surrounded by a thin uncharged concentric conducting shell of radius 2a. A point charge q is placed at a distance 4a from common centre of conducting sphere and shell. The inner sphere is then grounded. The charge on solid sphere is\[\frac{q}{x}\] . Find the value of x.
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• question_answer14)
  A \[20\mu F\] capacitor is connected to 45 V battery through a circuit whose resistance is\[2000\Omega \]. What is the final charge (in coulomb) on the capacitor?
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• question_answer15)
  Calculate the area \[\left( in\text{ }{{m}^{2}} \right)\] of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuum.
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