Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2014
Exam
NEET
Year
2014
Subject
Physics
Chapter
Electrostatics

NEET 2014 · Physics · Electrostatics

A conducting sphere of radius R is given a charge Q . The electric...

A conducting sphere of radius RR is given a charge Q.Q . The electric potential and the electric field at the center of the sphere respectively are:

Options

  1. AZero and Q4πε0R2\dfrac{Q}{4\pi{ε}_{0}{R}^{2}}
  2. BQ4πε0R\dfrac{Q}{4\pi{ε}_{0}R} and Zero
  3. CQ4πε0R\dfrac{Q}{4\pi{ε}_{0}R} and Q4πε0R2\dfrac{Q}{4\pi{ε}_{0}{R}^{2}}
  4. DBoth are zero

Correct answer

B. Q4πε0R\dfrac{Q}{4\pi{ε}_{0}R} and Zero

Step-by-step solution

This is a learning based question where we have to choose the option which is correct for the electric potential and electric field at the centre of the sphere.

For a conducting sphere
Electric field at centre =0= 0
Potential at centre =kQR=Q4πε0R= \dfrac{kQ}{R} = \dfrac{Q}{4\pi{ε}_{0}R}

So Option (2) will be correct.

Practice Electrostatics on Quantrex Academy →

More from Electrostatics

The electric field at a point in a certain region of free space due to a charge Q is 0.… MHT CET Medical 2026A closed surface encloses n electric dipoles. The net electric flux through the closed… MHT CET Medical 2026A hollow metal sphere of radius 5\ cm is charged such that the potential on its surface… MHT CET Medical 2026Four infinitely large planar charged sheets are placed parallel to each other as shown in… MHT CET Medical 2026The electric potential 'V' as a function of distance x (in metre) is V = 4x^2 + 6x - 8… MHT CET Medical 2026A uniform electric field is given as E = 4 × 10^4\, j \ N/C . The flux of this field… MHT CET Medical 2026Assume that the electric field E = 30 x^2 i exists in space. Then the potential… MHT CET Medical 2026Two point charges +8q and -2q are located at x=0 and x=L respectively. What is the… MHT CET Medical 2026 Full Electrostatics list All NEET PYQs