A conducting sphere of radius R = 20 cm is given by a charge Q = 16μC. What is E at centre?

3.6×10⁶ N/C

1.8×10⁶N/C

Zero

0.9×10⁶ N/C

Solution

Zero

The value of E at the centre of the sphere is zero. Since the centre of the sphere is placed within the Gaussian surface. The use of Gauss law to examine the electric field of a charged sphere shows the electric field enviornment outside the sphere is identical to that of point charge.

Therefore the potential is the same as that of a point charge

$V = \frac{Q}{4 {πε}_{0} r}$

hence E=0

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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Electric Charges And Fields

A conducting sphere of radius R = 20 cm is given by a charge Q = 16μC. What is E at centre?

3.6×10⁶ N/C

1.8×10⁶N/C

Zero

0.9×10⁶ N/C

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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NCERT Sample Papers

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Electric Charges And Fields

A conducting sphere of radius R = 20 cm is given by a charge Q = 16μC. What is E at centre? 3.6×106 N/C 1.8×106 N/C Zero 0.9×106 N/C

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?b) Explain why two field lines never cross each other at any point?

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A conducting sphere of radius R = 20 cm is given by a charge Q = 16μC. What is E at centre?

3.6×10⁶ N/C

1.8×10⁶N/C

Zero

0.9×10⁶ N/C

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?