Two infinite, uniformly charged, flat surfaces are mutually perpendicular. one of the sheets has a charge density of +60 pc/m2, and the other carries a charge density of −80 pc/m2. what is the magnitude of the electric field at any point not on either surface?

5.648 N/C

Explanation:

Given:

q₁ = 60 pC/m² = 60 × 10⁻¹² C/m²

q₂ = -80 pC/m² = - 80 × 10⁻¹² C/m²

Now,

Electric field is given as:

E =

ε₀ = Permittivity of Free Space

thus, due to charge q₁

E₁ =

or

E₁ = 3.389 N/C

and, due to charge q₂

E₂ =

or

E₂ = 4.519 N/C

Now,

The resultant electric field =

or

The resultant electric field =

or

The resultant electric field =

or

The resultant electric field = 5.648 N/C

E = 5.65 N/C

Explanation:

Given data:

Charge density

charge density

And A charge density creates the electric field

The electric field at point (x,y) is

where are vectors

After solving we get

E = 5.65 N/C

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.