A point charge q is placed inside a conducting spherical shell of inner radius 2

Question

A point charge q is placed inside a conducting spherical shell of inner radius 2R and outer radius 3R at a distance of R from the centre of the shell. The electric potential at the centre of shell will be

\frac{1}{4 π ϵ_{0}}

times:

Options:

A . q2R

B . 4q3R

C . 5q6R

D . 2q3R

Answer: Option C
:
C
Charge of -q will be induced on the the inner surface and +q on the outer surface

V = V_{1} + V_{2} + V_{3} = \frac{1}{4 π ϵ_{0}} [\frac{q}{R} - \frac{q}{2 R} + \frac{q}{3 R}]

V = \frac{1}{4 π ϵ_{0}} [\frac{6 q - 3 q + 2 q}{6 R}]

V = \frac{1}{4 π ϵ_{0}} [\frac{5 q}{6 R}]

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. An electron (charge = 1.6×10−19 coulomb) is accelerated through a potential of 1,00,000 volts. The ene....of 1,00,000 volts. The energy required by the electron is

Question 2. Three charges each of charge ‘q’ are placed at the corners of an equilateral triangle. The fourth ch....that electrostatic potential energy of the system is zero is

Question 3. Two charges q1 and q2 are placed 30 cm apart as shown in the figure. A third charge q3is moved along the arc of a circle....potential energy of the system is q34πϵ0k, where k is

Question 4. Charges of +103×10−9C are placed at each of the four corners of a square of side 8 cm. The potential at the intersec....cm. The potential at the intersection of the diagonals is

Question 5. A positively charged conductor ....

Question 6. An infinite number of charges of equal magnitude q, but of opposite sign are placed alternately starting with positive c....charges will be (in S.I units and k = 14πϵ0

Question 7. A uniform electric field of magnitude E0 is directed along the positive X - axis. If the potential V is zero at x = 0,....then its value at X = + x will be

Question 8. An electric dipole of moment p is placed in the position of stable equilibrium in uniform electric field of intensity E.....potential energy of electric dipole in the final position is

Question 9. Three charges 2q, -q, -q are located at the vertices of an equilateral triangle. At the centre of the triangle....

Question 10. Two point charges 20mC and - 60 mC are separated by a distance of 16cm. The net electric potential is zero on the ....net electric potential is zero on the line joining them

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers