Home
Class 12
PHYSICS
The potential on the Nth shell due to N ...

The potential on the `Nth` shell due to `N` concentric shells having charges `Q`, `2Q`, `3Q`,……`NQ` and radii `a`, `2a`, `3a`…..`Na` respectively is

A

`(Q(N+1))/(8piepsilon_(0)a)`

B

`(QN(N+1))/(8piepsilon_(0)a)`

C

`(Q)/(2piepsilon_(0)a)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`V=(1)/(4piepsilon_(0))sum(Q_(i))/(r_(1))`
Promotional Banner

Topper's Solved these Questions

  • GMP ASSESMENT

    FIITJEE|Exercise Assertion & Reason|15 Videos

  • GMP ASSESMENT

    FIITJEE|Exercise Multiple Question|58 Videos

  • GMP ASSESMENT

    FIITJEE|Exercise Numerical Based|61 Videos

  • GENERAL PHYSICS

    FIITJEE|Exercise MATRIX MATCH TYPE|3 Videos

  • GRAVITATION

    FIITJEE|Exercise Numerical based Question|2 Videos

Similar Questions

Explore conceptually related problems

(Figure 3.78) shows three thin concentric spherical shells A, B and C with initial charges on A , B, and C as 3 Q, 2Q, and -Q, respectively. The shells A amd C are connected by a wire such that it does not touch B. Shell B is earthed. Determine the final charges q_A, q_B, "and" q_C . .

Figure shows a system of three concentric metal shells, A, B and C with radii a, 2a and 3a respectively. Shell B is earthed and shell C is given a charge Q. Now if shell C is connected to shell A, then find the final charge on the shell B

Three concentric spherical conducting shells A, B and C of radii a, 2a and 4a are initially given charges +Q, -2Q and +Q respectively. The charge on the middle spherical shell B after switches S_(1) and S_(2) are simultaneously closed, will be

Two concentric spherical shells have charges +q and -q as shown in figure. Choose the correct options.

Figure shows three concentric thin spherical shells A, B and C of radii a, b and c respectively. The shells A and C are given charges q and -q respectively and the shell B is earthed. Find the charges appearing on the surfaces of B and C.

Three concentric conducting spherical shells have radii r, 2r, and 3r and charges q_1,q_2 and q_3 , respectively. Innermost and outermost shells are earthed as shown in figure. The charges shown are after earthing. Select the correct alternative.

Four concentric conducting spherical shells P, Q, R and S of radii a, 2a, 3a and 4a respectively. Shell P and S are given charges q and -q respectively. If shell R is grounded then potential difference (VP — VR) is (where V, and VR are potential at surfaces of P and R respectively)

Consider two concentric metalic shell's of radii R and 2R. The inner shell is having charge Q and outer shell is uncharged. If they are connected with a conducting wire. Then,

A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of -3Q , the new potential difference between the same two surfaces is :

FIITJEE-GMP ASSESMENT-Objective problems
  1. A tiny electric dipole of dipole moment p is palced at a distance r fr...

    Text Solution

    |

  2. A solid sphere of radius R has a spherical cavity of radius r as shown...

    Text Solution

    |

  3. The potential on the Nth shell due to N concentric shells having charg...

    Text Solution

    |

  4. A non conducting ring of radius R(1) is charged such that the linear c...

    Text Solution

    |

  5. A point charge q is placed inside a conducting spherical shell of inne...

    Text Solution

    |

  6. In the given circuit, the potential difference across the capacitor is...

    Text Solution

    |

  7. Find effective resistance between A & B.

    Text Solution

    |

  8. A milli-ammeter of range 10 mA and resistance 9Omega is joined in a ci...

    Text Solution

    |

  9. A potential of 400 V is applied at the point A. The value of resistanc...

    Text Solution

    |

  10. In a parallel-plate capacitor, the region between the plates is filled...

    Text Solution

    |

  11. In a regular polygon of n sides, each corner is at a distance r from t...

    Text Solution

    |

  12. In the circuit shown the cells are ideal and of equal emfs, the capaci...

    Text Solution

    |

  13. In the arrangement shown in figure when the switch S2 is open, the gal...

    Text Solution

    |

  14. V(A)*V(B) for given figure in steady state is

    Text Solution

    |

  15. A hemi-spherical network of radius a is made by using a conducting wir...

    Text Solution

    |

  16. In fig. A2.27, the charge that flows from P to Q when the switch S is ...

    Text Solution

    |

  17. In the given circuit (Fig), key K is switched on the at t = 0. The rat...

    Text Solution

    |

  18. The location of three long wires carrying same current I are x=-a, x=0...

    Text Solution

    |

  19. A steady current is flowing in a circular coil of radius R, made up o...

    Text Solution

    |

  20. A wire of cross-sectional area A forms three sides of a square and is ...

    Text Solution

    |