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Electrostatic Potential and Capacitance · Question 7

RE-NEET (UG) 2026MCQMedium📈 Topic in 50% papers+4−1
1

A point charge Q is placed inside a cavity within a solid isolated conducting sphere. Consider points A, B and C as shown in the figure, where the magnitudes of the electric fields are EA, EB, EC, respectively. The points B and C are at the same distance from the center of the solid sphere. The correct option is : [figure]

  1. EA 0, EB < EC
  2. EA = 0, EB = EC
  3. EA 0, EB = EC
  4. EA = 0, EB > EC

Answer

(3) EA 0, EB = EC

Solution

1. Point A is inside the cavity containing point charge Q, so the electric field at A is non-zero (EA 0).

2. By electrostatic shielding, the cavity charges induce a total charge +Q on the outer surface of the isolated spherical conductor. Because the conductor has a spherical outer boundary, this outer surface charge distributes completely symmetrically and uniformly.

3. The electric field outside the sphere behaves as if the entire charge +Q were concentrated at the centre of the sphere. Since points B and C are at equal distances from the centre of the sphere, their field magnitudes are equal: EB = EC.

Thus, EA 0 and EB = EC.

Answer: (3)

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2

The plates of a parallel plate capacitor are separated by d. Two slabs of different dielectric constant K1 and K2 with thickness 38d and d2, respectively are inserted in the capacitor. Due to this, the capacitance becomes two times larger than when there is nothing between the plates. If K1 = 1.25K2, the value of K1 is:

  1. 1.60
  2. 1.33
  3. 2.66
  4. 2.33
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3

A thin spherical shell is charged by some source. The potential difference between the two points C and P (in V) shown in the figure is: (Take 14 0 = 9 109 SI units) [figure]

  1. 3 105
  2. 1 105
  3. 0.5 105
  4. Zero
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4

In the following circuit, the equivalent capacitance between terminal A and terminal B is : [figure]

  1. 2
  2. 1
  3. 0.5
  4. 4
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5

In the light of the above statements, choose the correct answer from the options given below:

  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and R are true and R is NOT the correct explanation of A.
  3. A is true but R is false.
  4. A is false but R is true.
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6

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then Choose the most appropriate answer from the options given below:

  1. A, B and E only
  2. A, C and E only
  3. B, D and E only
  4. A, B and C only
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7

A 12 pF capacitor is connected to a 50 V battery, the electrostatic energy stored in the capacitor in nJ is

  1. 15
  2. 7.5
  3. 0.3
  4. 150
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8

The capacitance of a capacitor with charge q and a potential difference V depends on

  1. both q and V
  2. the geometry of the capacitor
  3. q only
  4. V only
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9

The value of electric potential at a distance of 9 cm from the point charge 4 10-7 C is [Given 14 0 = 9 109 N m2 C-2]:

  1. 4 102 V
  2. 44.4 V
  3. 4.4 105 V
  4. 4 104 V
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10

The equivalent capacitance of the system shown in the following circuit is: [figure]

  1. 3
  2. 6
  3. 9
  4. 2
NEET (UG) 2023
11

An electric dipole is placed as shown in the figure. [figure] The electric potential (in 102 V) at point P due to the dipole is ( 0 = permittivity of free space and 14 0 = K) :

  1. ( 58 ) qK
  2. ( 85 ) qK
  3. ( 83 ) qK
  4. ( 38 ) qK
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