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Question -

Careful measurement of theelectric field at the surface of a black box indicates that the net outwardflux through the surface of the box is 8.0 × 103 Nm2/C. (a) What is the net chargeinside the box? (b) If the net outward flux through the surface of the box werezero, could you conclude that there were no charges inside the box? Why or Whynot?



Answer -

(a) Net outward flux throughthe surface of the box, Φ = 8.0× 103 N m2/C

For a body containing netcharge q, flux is given by therelation,

0 = Permittivity offree space

= 8.854 × 10−12 N−1Cm−2

q = 0Φ

= 8.854 × 10−12 × 8.0 × 103

= 7.08 × 10−8

= 0.07 μC

Therefore, the net chargeinside the box is 0.07 μC.

(b) No

Net flux piercing outthrough a body depends on the net charge contained in the body. If net flux iszero, then it can be inferred that net charge inside the body is zero. The bodymay have equal amount of positive and negative charges.

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