Answer:
Negative
Explanation:
If a negatively charged object is used to charge a neutral object by induction, then the neutral object will acquire a positive charge. And if a positively charged object is used to charge a neutral object by induction, then the neutral object will acquire a negative charge:
We have a neutral sphere
1) Electrons are attracted to the positive charge
2) Electrons enter the sphere from ground, attrated to the + charge in the sphere
3) The sphere has an excess of e- having entered from the ground
4) Electrons redistribute uniformly
The electric field inside a parallel plate capacitor is given by:
E = Q/(ε₀A)
E is the electric field, Q is the charge stored on one of the plates, and A is the area of one of the plates.
The plates are circular, so the area A of one of the plates is given by:
A = πr²
where r is the radius.
Therefore the electric field is given by:
E = Q/(ε₀πr²)
Given values:
E = 3×10⁶N/C (max E field allowed before breakdown occurs)
r = 54×10⁻²m
Plug in these values and solve for Q:
3×10⁶ = Q/(ε₀π(54×10⁻²)²)
Q = 2.4×10⁻⁵C
Trigonometry allows finding the result for the decomposition of the displacement vector is:
x = 2.12 mi
y = -2.12 mi
Displacement is a vector quantity, which has modulus and direction.
The cardinal points are a reference system with respect to which measurements are made, this system is related to the Cartesian system with the East in the positive direction of the x-axis and the North with the positive direction of the y-axis.
In the attached we can see a diagram of the vector and its components, the indicated direction of 45 S of the E, in the Cartesian system where the angles are measured from the positive side of the x-axis in a counterclockwise direction is:
θ = 360 - 45
θ = 315º
Let's use trigonometry to decompose the vector d = 3 mi
cos 315 =
sin 315 =
x = d cos 315
y = d sin 315
Let's calculate
x = 3 cos 315
y = 3 sin 315
x = 2.12 mi
y = -2.12 mi
The negative sign indicates that the displacement is towards the negative side, that is, towards the South.
In conclusion using trigonometry we can find the result for the decomposition of the displacement vector are:
x = 2.12 mi
y = -2.12 mi
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