1.21 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 <math><mo>×</mo><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup></math> N/C and points radially inward, what is the net charge on the sphere?

1.21 Electric field intensity, E, at a distance d, from the centre of a sphere containing net charge q is given by the relation,E = 14π?0×qd2Where ?0= Permittivity of free space = 8.854 ×10-12 C2N-1m-2,q= Net chargeE = 1.5 ×103 N/Cd = 2r = 20 cm = 0.2 mq = E 4π?0×d2 = 1.5 ×103×4×π× 8.854 ×10-12×0.22 C = 6.67 ×10-9C= 6.67 nCThe net charge on the sphere is 6.67 nC

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1.21 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 $\times 10^{3}$ N/C and points radially inward, what is the net charge on the sphere?

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alok kumar singh | Contributor-Level 10

3 months ago

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

E = $\frac{1}{4 π ?_{0}}$ $\times \frac{q}{d^{2}}$

Where $?_{0}$ = Permittivity of free space = 8.854 × $10^{- 12}$ $C^{2} N^{- 1}$ $m^{- 2},$

q= Net charge

E = 1.5 $\times 10^{3}$ N/C

d = 2r = 20 cm = 0.2 m

q = E $4 π ?_{0} \times d^{2}$ = 1.5 $\times 10^{3} \times 4 \times π \times$ 8.854 $\times 10^{- 12} \times {0.2}^{2}$ C = 6.67 × $10^{- 9}$ C

= 6.67 nC

The net charge on the sphere is 6.67 nC

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1.21 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 $\times 10^{3}$ N/C and points radially inward, what is the net charge on the sphere?

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1.21 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 ×103 N/C and points radially inward, what is the net charge on the sphere?

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1.21 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 $\times 10^{3}$ N/C and points radially inward, what is the net charge on the sphere?