Answer:
<u><em>note:</em></u>
<u><em>solution is attached due to error in mathematical equation. please find the attachment</em></u>
Two blocks, 1 and 2, are connected by a rope R1 of negligible mass. A second rope R2, also of negligible mass, is tied to block
2. A force is applied to R2 and the blocks accelerate forward. Find the ratio of the forces exerted on blocks 1 and 2 by the ropes R1 and R2 respectively. Here m1 = 2.11m2.
1 answer:
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Answer:
E ≈ 1.70 10⁵ N/C
Explanation:
The electric field is a vector quantity, so we can calculate the field of each plate and then add them. To calculate the field of a plate let's use Gauss's law
Φ = ∫ E. dA = / ε₀
To apply this law we must create a Gaussian surface that takes advantage of the symmetry of the problem. The electric field lines on the surface are perpendicular, so the Gaussian surface that will be a cylinder with the base parallel to the plate.
On this surface the normal to the base (A) is parallel to the field lines whereby the scalar product is reduced to the ordinary product. The normal on the sides of the cylinder is perpendicular to the field, therefore, the product scale is zero.
∫I E dA = /ε₀
Let's look for the load under the cylinder, let's use the concept of load density
σ = / A
= σ A
Let's write Gauss's law for this case
E A = /ε₀
E A = σ A / ε₀
E = σ / ε₀
As the field is emitted for each side of the plate the value to only one side is
E = G / 2ε₀
This expression is the same for each plate, now let's add the electric field at the requested point
R = (0.50, 0.00, 0.00) cm
We see that this point is on the X axis, between the plates that are at the points y = -1.0 cm and y = 1.0 cm, as the plates are very large the test point is between them
The negative plate has an incoming field and the positive plate has an outgoing field, the test load is always positive. The field due to the negative plate goes to the left, the field through the positive plate goes to the left at this point whereby two are added
E = E_ + E +
E = σ1 / 2ε₀ + σ2 / 2ε₀
E = 1 / 2o (σ1 + σ2)
Let's calculate the value
E = 1/2 8.85 10⁻¹² (1.00 10⁻⁶ + 2.00 10⁻⁶)
E = 3 10⁻⁶ / 17.7 10⁻¹²
E = 1,695 10⁵ N / C
E ≈ 1.70 10⁵ N/C