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iogann1982 [59]
4 years ago
9

At a distance D from a very long (essentially infinite)uniform line of charge, the elecric field is 1000 N/C. Forthe field stren

gth to be 2000 N/C, the distance from the line wouldhave to be:a. D/√2b. √2Dc. D/2d. 2De. D/4
Physics
2 answers:
jolli1 [7]4 years ago
8 0

Answer:

A

Explanation:

The electric field = 1000N/C

Using the formula

F = q/4πeD^2 where F is the force experience by a charge body brought from infinity to D and e is the field constant in C/N.m^2 and D is the distance from the uniform field

1000 = q/4πeD^2

Make q subject of the formula

1000*(4πeD^2) = q

If the force changes to 2000 then equation changes to:

2000 = q /4πeD1^2 where D1 is the new distance

Substitute q in equation 2

2000 = 1000*(4πeD^2) / 4πeD1^2

Cancel 4πe

2000 = 1000 * D^2 / D1^2

Cross multiply and make D1^2 subject of the formula

D1^2 = 1000D^2/ 2000

D1^2 = D^2/2

Take square root of both side

D1 = √(D^2/2) = D / √2

Vsevolod [243]4 years ago
8 0

Answer:

The answer is A

Explanation:

Electrical field formula is:

F=2*k*q/D[tex]F=2*k*q/D^2=1000\\F=2*k*q/(D/\sqrt{2}) ^2=2000

To increase the electrical field from 1000 N/C to 2000 N/C when the q is constant the distance would have to be:

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