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
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
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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