Hey there!
1.) Without the atmosphere, average temperature on Earth would be freezing! Below zero to be exact!
2.) The atmosphere protects us and animals from dangerous radiation from the Sun. Ultraviolet radiation is basically invisible rays of energy created by the sun.
3.) Also, the atmosphere provides oxygen for humans and animals to breathe and C02 (Carbon dioxide) for plants.
4.) And lastly, the atmosphere protects us from objects coming towards the earth.
Hope this helps!
Answer: Sean is standing still, and Rhea is running toward Sean while kicking the ball
Explanation: Your welcome :)
Answer:
The resistance of the inductor at resonance is 258.76 ohms.
Explanation:
Given;
resistance of the resistor, R = 305 ohm
capacitance of the capacitor, C = 1.1 μF = 1.1 x 10⁻⁶ F
inductance of the inductor, L = 42 mH = 42 x 10⁻³ H = 0.042 H
At resonance the inductive reactance is equal to capacitive reactance.
![\omega L = \frac{1}{\omega C}\\\\2\pi F_0 L = \frac{1}{2\pi F_0 C}\\\\F_0 = \frac{1}{2\pi\sqrt{LC} }](https://tex.z-dn.net/?f=%5Comega%20L%20%3D%20%5Cfrac%7B1%7D%7B%5Comega%20C%7D%5C%5C%5C%5C2%5Cpi%20F_0%20L%20%3D%20%20%5Cfrac%7B1%7D%7B2%5Cpi%20F_0%20C%7D%5C%5C%5C%5CF_0%20%3D%20%5Cfrac%7B1%7D%7B2%5Cpi%5Csqrt%7BLC%7D%20%7D)
Where;
F₀ is the resonance frequency
![F_0 = \frac{1}{2\pi\sqrt{LC} } \\\\F_0 = \frac{1}{2\pi\sqrt{(0.024)(1.1*10^{-6})} }\\\\F_0 =980.4 \ Hz](https://tex.z-dn.net/?f=F_0%20%3D%20%5Cfrac%7B1%7D%7B2%5Cpi%5Csqrt%7BLC%7D%20%7D%20%5C%5C%5C%5CF_0%20%3D%20%5Cfrac%7B1%7D%7B2%5Cpi%5Csqrt%7B%280.024%29%281.1%2A10%5E%7B-6%7D%29%7D%20%7D%5C%5C%5C%5CF_0%20%3D980.4%20%5C%20Hz)
The inductive reactance is given by;
![X_l = 2\pi F_0 L\\\\X_l = 2\pi (980.4)(0.042) \\\\X_l = 258.76 \ ohms](https://tex.z-dn.net/?f=X_l%20%3D%202%5Cpi%20F_0%20L%5C%5C%5C%5CX_l%20%3D%202%5Cpi%20%28980.4%29%280.042%29%20%5C%5C%5C%5CX_l%20%3D%20258.76%20%5C%20ohms)
Therefore, the resistance of the inductor at resonance is 258.76 ohms.