Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Capacitor question

2020 · 7 Jan · Shift 1 · Q47
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Capacitor
  5. /2020 · 7 Jan · Shift 1 · Q47

Capacitor question

2020 · 7 Jan · Shift 1 · Q47

JEE MainPhysicsCapacitorMCQ+4 / −1
JEE Main 2020 (Online) 7th January Morning Slot Physics - Capacitor Question 112 English A parallel plate capacitor has plates of area A separated by distance 'd' between them. It is filled with a dielectric which has a dielectric constant that varies as k(x) = K(1 + α\alphaα x) where 'x' is the distance measured from one of the plates. If (ad) << 1, the total capacitance of the system is best given by the expression :
  1. A
    A∈0Kd(1+(αd2)2){{A{ \in _0}K} \over d}\left( {1 + {{\left( {{{\alpha d} \over 2}} \right)}^2}} \right)dA∈0​K​(1+(2αd​)2)
  2. B
    A∈0Kd(1+αd2){{A{ \in _0}K} \over d}\left( {1 + {{\alpha d} \over 2}} \right)dA∈0​K​(1+2αd​)
  3. C
    A∈0Kd(1+α2d22){{A{ \in _0}K} \over d}\left( {1 + {{{\alpha ^2}{d^2}} \over 2}} \right)dA∈0​K​(1+2α2d2​)
  4. D
    A∈0Kd(1+αd){{A{ \in _0}K} \over d}\left( {1 + \alpha d} \right)dA∈0​K​(1+αd)
PreviousNext

More from Capacitor

  • A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is conneced to another uncharged 60 pF capacitor in parallel. The electrostatic energy that is lost in this process by the time the charge is…2020 · Numerical
  • Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individually connected to a voltage source of 1V, the energy stored in the capacitor C2 is 4 times that of C1. If these…2020 · MCQ
  • A capacitor is made of two square plates each of side 'a' making a very small angle α between them, as shown in figure. The capacitance will be close to : Includes diagram2020 · MCQ
  • Voltage rating of a parallel plate capacitor is 500V. Its dielectric can withstand a maximum electric field of 106 V/m. The plate area is 10–4 m2. What is the dielectric constant is the capacitance is 15 pF? (given ε 0 = 8.86 ×…2019 · MCQ
  • A parallel plate capacitor has 1μF capacitance. One of its two plates is given +2μC charge and the other plate, +4μC charge. The potential difference developed across the capacitor is:-2019 · MCQ
  • A capacitor with capacitance 5μF is charged to 5μC. If the plates are pulled apart to reduce the capacitance to 2μF, how much work is done ?2019 · MCQ
  • Determine the charge on the capacitor in the following circuit : Includes diagram2019 · MCQ
  • The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of…2019 · MCQ