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What is the number of electric field lines coming out from a 1C charge?
  • a)
    9 * 109
  • b)
    8.85 * 10-12
  • c)
    1/8.85 * 10-12
  • d)
    Infinite
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the number of electric field lines coming out from a 1C charge...
Explanation:

Electric field lines originate from a positive charge and terminate on a negative charge. In the case of a single positive charge, the electric field lines originate from the charge and continue infinitely in all directions, representing the electric field.

The number of electric field lines depends on the magnitude of the charge. The higher the charge, the greater the number of electric field lines.

The formula for electric field intensity is given by:

E = kq/r^2

where E is the electric field intensity, k is the Coulomb's constant (9 x 10^9 Nm^2/C^2), q is the charge and r is the distance between the charges.

In the case of a 1C charge, the electric field intensity at a distance of 1 meter can be calculated as:

E = (9 x 10^9) x (1) / (1)^2

E = 9 x 10^9 N/C

The number of electric field lines originating from the charge can be calculated using the formula:

Number of field lines = electric field intensity / (2 x Coulomb's constant)

Number of field lines = (9 x 10^9 N/C) / (2 x 9 x 10^9 Nm^2/C^2)

Number of field lines = 0.5

Therefore, the number of electric field lines originating from a 1C charge is 0.5. This means that half of the electric field lines terminate on a negative charge and the other half continue infinitely in all directions.

As option C is 1/8.85 x 10^-12, it is the inverse of Coulomb's constant and is not related to the number of electric field lines. Therefore, option C is incorrect.
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Community Answer
What is the number of electric field lines coming out from a 1C charge...
According to Gauss’s Law, the total number of electric field lines coming out of a charge q is =
where ε
o
is the absolute permittivity of air. Its value is 8.85 *
10
-12
. Therefore the number of lines coming out from a 1C charge = 
1/
8.85
*
10
-12
.
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What is the number of electric field lines coming out from a 1C charge?a)9 * 109b)8.85 * 10-12c)1/8.85 * 10-12d)InfiniteCorrect answer is option 'C'. Can you explain this answer?
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