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UP Board Class 12 Electrostatic Potential and Capacitance — practice questions

24 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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A point charge of $4$ nC creates potential at $0.2$ m of:A capacitor of $5\ \mu$F is connected across a $12$ V battery. The charge stored is:A parallel-plate capacitor has area $A$, gap $d$, capacitance $C_0$. If the gap is halved, the new capacitanceA capacitor of $10\ \mu$F is charged to $100$ V. The energy stored is:The SI unit of electric potential isElectric potential at infinity in the standard NCERT convention is taken asThe SI unit of capacitance isElectric field at any point inside a hollow charged conductor isOn an equipotential surface, the work done in moving a test charge between any two points isThe potential at a distance 0.30 m from a point charge of +20 nC is (k = 9 × 10⁹ N m² C⁻²)A parallel-plate capacitor in vacuum has plate area A and separation d. Its capacitance isThree capacitors of 2 µF each are connected in series. The equivalent capacitance isThe work done in bringing a charge q from infinity to a point where the potential is V isTwo capacitors of 4 µF and 6 µF are connected in parallel and charged by a 10 V battery. The total charge storWhen the separation between the plates of an air parallel-plate capacitor is doubled (keeping plate area constTwo point charges +3 × 10⁻⁸ C and −2 × 10⁻⁸ C are placed 15 cm apart on a line. Taking V(∞) = 0, the point on An electric dipole of moment p is placed in a uniform field E. The work done to rotate it from the orientationA parallel-plate capacitor of capacitance C is charged to a potential V by a battery, then disconnected. A dieTwo identical capacitors, each of capacitance C, are charged to potentials V and 2V respectively, then connectA 5 µF capacitor is charged to 200 V. The energy stored in it isAn isolated conducting sphere of radius R carries a charge Q. The electric potential at its centre is (V(∞) = Four equal point charges q sit at the corners of a square of side d. The work needed to assemble this configurCapacitance of a parallel-plate capacitor (area A, separation d) when a dielectric slab of thickness t (t < d)Two concentric conducting spherical shells have radii a and b (a < b) and carry charges +Q and −Q respectively