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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

#### 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.

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#### 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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