Data Analysis and Conclusion
Answer:
Option (e)
Explanation:
A = 45 cm^2 = 0.0045 m^2, d = 0.080 mm = 0.080 x 10^-3 m,
Energy density = 100 J/m
Let Q be the charge on the plates.
Energy density = 1/2 x ε0 x E^2
100 = 0.5 x 8.854 x 10^-12 x E^2
E = 4.75 x 10^6 V/m
V = E x d
V = 4.75 x 10^6 x 0.080 x 10^-3 = 380.22 V
C = ε0 A / d
C = 8.854 x 10^-12 x 45 x 10^-4 / (0.080 x 10^-3) = 4.98 x 10^-10 F
Q = C x V = 4.98 x 10^-10 x 380.22 = 1.9 x 10^-7 C
Q = 190 nC
Answer:
G = 6,786 10⁻¹¹ m³ / s² kg
Explanation:
The law of universal gravitation is
F = G m M/ r²
Where G is the gravitational constant, m and M are the masses of the bodies and r is the distance from their centers
Let's use Newton's second law
F = m a
The acceleration is centripetal
a =
We replace
G m M / r² = m
G =
r² / M
Let's replace and calculate
G = 2.7 10⁻³ (3.88 10⁸)² / 5.99 10²⁴
G = 6,786 10⁻¹¹ m³ / s² kg
Let's perform a dimensional analysis
[N m²/kg²] = [kg m/s² m² / kg²] = [m³ / s² kg]
Answer:
The value of the inductance is 1.364 mH.
Explanation:
Given;
amplitude current, I₀ = 200 mA = 0.2 A
amplitude voltage, V₀ = 2.4 V
frequency of the wave, f = 1400 Hz
The inductive reactance is calculated;
![X_l = \frac{V_o}{I_o} \\\\X_l = \frac{2.4}{0.2} \\\\X_l =12 \ ohms](https://tex.z-dn.net/?f=X_l%20%3D%20%5Cfrac%7BV_o%7D%7BI_o%7D%20%5C%5C%5C%5CX_l%20%3D%20%5Cfrac%7B2.4%7D%7B0.2%7D%20%5C%5C%5C%5CX_l%20%3D12%20%5C%20ohms)
The inductive reactance is calculated as;
![X_l = \omega L\\\\X_l = 2\pi fL\\\\L = \frac{X_l}{2 \pi f}](https://tex.z-dn.net/?f=X_l%20%3D%20%5Comega%20L%5C%5C%5C%5CX_l%20%3D%202%5Cpi%20fL%5C%5C%5C%5CL%20%3D%20%5Cfrac%7BX_l%7D%7B2%20%5Cpi%20f%7D)
where;
L is the inductance
![L = \frac{12}{2 \pi \times \ 1400} \\\\L = 1.364 \times \ 10^{-3} \ H\\\\L = 1.364 \ mH](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B12%7D%7B2%20%5Cpi%20%5Ctimes%20%5C%201400%7D%20%5C%5C%5C%5CL%20%3D%201.364%20%5Ctimes%20%5C%2010%5E%7B-3%7D%20%5C%20H%5C%5C%5C%5CL%20%3D%201.364%20%5C%20mH)
Therefore, the value of the inductance is 1.364 mH.
A magnetic field is a force field, invisibly pushing electrically charged objects just as a gravitational field pulls objects with mass. Whereas all objects with mass exert a gravitational field, however, not all objects have a magnetic field. Magnetic fields are created by electrical charges. Thanks to their structure at the atomic level, some substances -- like the iron in magnets -- have a permanent magnetic field.