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A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5 × 10^3 N/C and points radially inward, what is the net charge on the sphere? - CBSE (Science) Class 12 - Physics

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Question

A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5 × 10N/C and points radially inward, what is the net charge on the sphere?

Solution

Electric field intensity (E) at a distance (d) from the centre of a sphere containing net charge q is given by the relation,

`E=q/(4piin_0d^2)`

Where,

q = Net charge = 1.5 × 103 N/C

= Distance from the centre = 20 cm = 0.2 m

0 = Permittivity of free space

And,`1/(4piin_0)` = 9 × 109 N m2 C−2

∴`q=E(4piin_0)d^2`

`=(1.5xx10^3xx(0.2)^2)/(9xx10^9)`

= 6.67 × 109 C

= 6.67 nC

Therefore, the net charge on the sphere is 6.67 nC.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Physics Textbook for Class 12 (2018 to Current)
Chapter 1: Electric Charge and Fields
Q: 21 | Page no. 48

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Solution A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5 × 10^3 N/C and points radially inward, what is the net charge on the sphere? Concept: Electric Charges.
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