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Answer: 539.4 N
Explanation:
Let's begin by explaining that Coulomb's Law establishes the following:
"The electrostatic force
between two point charges
and
is proportional to the product of the charges and inversely proportional to the square of the distance
that separates them, and has the direction of the line that joins them"
What is written above is expressed mathematically as follows:
(1)
Where:
is the electrostatic force
is the Coulomb's constant
and
are the electric charges
is the separation distance between the charges
Then:
(2)
Isolating
and
:
(3)
Now, if we keep the same charges but we decrease the distance to
, (1) is rewritten as:
(4)
Then, the new electrostatic force will be:
(5) As we can see, the electrostatic force is increased when we decrease the distance between the charges.
The answer is C. Hope this helps.
Answer:
The strength of the magnetic field is 3.5 x 10⁻³ T
Explanation:
Given;
magnitude of the magnetic flux , Φ = 5.90 x 10⁻⁵ T·m²
angle of inclination of the field, θ = 42.0°
radius of the circular plate, r = 8.50 cm = 0.085 m
Generally magnetic flux in a uniform magnetic field is given as;
Φ = BACosθ
where;
B is the strength of the magnetic field
A is the area of the circular plate
Area of the circular plate:
A = πr²
A = π (0.085)² = 0.0227 m²
The strength of the magnetic field:
B = Φ / ACosθ
B = ( 5.90 x 10⁻⁵) / ( 0.0227 x Cos42)
B = 3.5 x 10⁻³ T
Therefore, the strength of the magnetic field is 3.5 x 10⁻³ T