a conductor of 10 cm radius placed on a insulated stand having electric field 10N/ coulomb distributed in the surface of the sphere find the electric field at the center
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Electric field intensity (E) at a distance (d) from the centre of a sphere containing net charge q is given by the relation,
E=4π∈0d2q
Where,
q= Net charge = 1.5×103 N/C
d= =20cm=0.2m
And, 4π∈01=9×109Nm2C−2
∴q=E(4π∈0)d2
=9×1091.5×103×(0.2)2
=6.67×109C
=6.67nC.
Because the electric field lines point radially inwards, the charge on the sphere is negative. Therefore, the net charge on the sphere is 6.67 nC.
Explanation:
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