It’s c “ the same size as you are”
Answer:
Impedance, Z = 107 ohms
Explanation:
It is given that,
Resistance, R = 100 ohms
Inductance, ![L=800\ mH=800\times 10^{-3}\ H=0.8\ H](https://tex.z-dn.net/?f=L%3D800%5C%20mH%3D800%5Ctimes%2010%5E%7B-3%7D%5C%20H%3D0.8%5C%20H)
Capacitance, ![C=10\ \mu F=10\times 10^{-6}\ F=10^{-5}\ F](https://tex.z-dn.net/?f=C%3D10%5C%20%5Cmu%20F%3D10%5Ctimes%2010%5E%7B-6%7D%5C%20F%3D10%5E%7B-5%7D%5C%20F)
Frequency, f = 60 Hz
Voltage, V = 120 V
The impedance of the circuit is given by :
...........(1)
Where
is the capacitive reactance, ![X_C=\dfrac{1}{2\pi fC}](https://tex.z-dn.net/?f=X_C%3D%5Cdfrac%7B1%7D%7B2%5Cpi%20fC%7D)
![X_C=\dfrac{1}{2\pi \times 60\times 10^{-5}}=265.65\ \Omega](https://tex.z-dn.net/?f=X_C%3D%5Cdfrac%7B1%7D%7B2%5Cpi%20%5Ctimes%2060%5Ctimes%2010%5E%7B-5%7D%7D%3D265.65%5C%20%5COmega)
is the inductive reactance, ![X_L={2\pi fL}](https://tex.z-dn.net/?f=X_L%3D%7B2%5Cpi%20fL%7D)
![X_L={2\pi \times 60\times 0.8}=301.59\ \Omega](https://tex.z-dn.net/?f=X_L%3D%7B2%5Cpi%20%5Ctimes%2060%5Ctimes%200.8%7D%3D301.59%5C%20%5COmega)
So, equation (1) becomes :
![Z=\sqrt{(100)^2+(265.65-301.59)^2}](https://tex.z-dn.net/?f=Z%3D%5Csqrt%7B%28100%29%5E2%2B%28265.65-301.59%29%5E2%7D)
Z = 106.26 ohms
or
Z = 107 ohms
So, the impedance of the circuit is 107 ohms. Hence, this is the required solution.
Answer:
3600 kg
Explanation:
From the question,
Density = Mass/Volume
D = M/V.............................. Equation 1
Where D = Density of the substance, M = mass of the substance, V = Volume of the subtance.
Make M the subject of the equation
M = D×V ............................ Equation 2
Given: D = 1200 kg/m³, V = 3 m³.
Substitute these values into equation 2
M = 1200×3
M = 3600 kg.
Hence the mass of the substance is 3600 kg