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Calculate the electric field strength produced 100cm to the right by the -4000pC point charge.Group of answer choices3.6x10^3 N36x10^-3 N/C36 N/C36 N

Question

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Solution

To calculate the electric field strength (E) produced by a point charge, we can use Coulomb's Law. The formula is:

E = k * |q| / r^2

where:

  • E is the electric field strength,
  • k is Coulomb's constant (approximately 8.99 * 10^9 N m^2/C^2),
  • q is the charge (in this case, -4000 pC or -4000 * 10^-12 C), and
  • r is the distance from the charge (in this case, 100 cm or 1 m).

First, convert the charge from picocoulombs to coulombs:

q = -4000 pC = -4000 * 10^-12 C = -4 * 10^-9 C

Next, substitute the values into the formula:

E = (8.99 * 10^9 N m^2/C^2) * |-4 * 10^-9 C| / (1 m)^2 E = (8.99 * 10^9 N m^2/C^2) * 4 * 10^-9 C E = 35.96 N/C

So, the electric field strength produced 100 cm to the right by the -4000 pC point charge is approximately 36 N/C.

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