Answer:
t = 1.098*RC
Explanation:
In order to calculate the time that the capacitor takes to reach 2/3 of its maximum charge, you use the following formula for the charge of the capacitor:
![Q=Q_{max}[1-e^{-\frac{t}{RC}}]](https://tex.z-dn.net/?f=Q%3DQ_%7Bmax%7D%5B1-e%5E%7B-%5Cfrac%7Bt%7D%7BRC%7D%7D%5D)
(1)
Qmax: maximum charge capacity of the capacitor
t: time
R: resistor of the circuit
C: capacitance of the circuit
When the capacitor has 2/3 of its maximum charge, you have that
Q=(2/3)Qmax
You replace the previous expression for Q in the equation (1), and use properties of logarithms to solve for t:
![Q=\frac{2}{3}Q_{max}=Q_{max}[1-e^{-\frac{t}{RC}}]\\\\\frac{2}{3}=1-e^{-\frac{t}{RC}}\\\\e^{-\frac{t}{RC}}=\frac{1}{3}\\\\-\frac{t}{RC}=ln(\frac{1}{3})\\\\t=-RCln(\frac{1}{3})=1.098RC](https://tex.z-dn.net/?f=Q%3D%5Cfrac%7B2%7D%7B3%7DQ_%7Bmax%7D%3DQ_%7Bmax%7D%5B1-e%5E%7B-%5Cfrac%7Bt%7D%7BRC%7D%7D%5D%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7D%3D1-e%5E%7B-%5Cfrac%7Bt%7D%7BRC%7D%7D%5C%5C%5C%5Ce%5E%7B-%5Cfrac%7Bt%7D%7BRC%7D%7D%3D%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C-%5Cfrac%7Bt%7D%7BRC%7D%3Dln%28%5Cfrac%7B1%7D%7B3%7D%29%5C%5C%5C%5Ct%3D-RCln%28%5Cfrac%7B1%7D%7B3%7D%29%3D1.098RC)
The charge in the capacitor reaches 2/3 of its maximum charge in a time equal to 1.098RC
Sustainable buildings are generally less expensive over the lifetime of the building, due to lower energy costs in production of the materials and lower energy bills. Option A is correct.
<h3>What is sustainable buildings? </h3>
Sustainable buildings refer to both a structure and the implementation of environmentally responsible and resource-efficient methods.
Sustainable buildings are generally less expensive over the lifetime of the building, due to lower energy costs in production of the materials and lower energy bills,
Hence,option A is correct.
To learn more about the sustainable buildings, refer;
brainly.com/question/8434592
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95-2.30+0.1+0.02cm =0.00089186
100m
The sample of the solid in grams is 5.5g
HOW TO CALCULATE SPECIFIC HEAT CAPACITY:
- The quantity of heat absorbed or released by a substance can be calculated using the following formula:
Q = m × c × ∆T
Where;
Q = quantity of heat absorbed/released (cal)
m = mass of the substance (g)
c = specific heat (cal/g°C)
∆T = change in temperature (°C)
- According to the information provided in this question:
Q = 7.90Kcal = 7900cal
m = ?
c = 11.5 cal/g°C
T1 = 135K = 135K − 273.15 = -138.1°C
T2 = 260K = 260K − 273.15 = -13.15°C
∆T = -13.15 - (-138.1) = 124.95°C
- Hence, the mass of the substance can be calculated as follows:
m = Q ÷ c∆T
m = 7900 ÷ (11.5 × 124.95)
m = 7900 ÷ 1436.93
m = 5.5grams.
Therefore, the sample of the solid in grams is 5.5g.
Learn more: brainly.com/question/21643161?referrer=searchResults
Answer:
1980 kg m/s due south
8.2 m/s2 north-west
Explanation:
In order a quantity to be a vector, it should both has a magnitude and direction.
27 J/s --> Only magnitude. (Power)
1980 kg m/s due south --> Both magnitude and direction. (Momentum)
8.2 m/s2 north-west --> Both magnitude and direction. (Acceleration)
3.2 mi straight up --> Direction is not clear. (Position)
2.9 m/s2 --> Only magnitude. (Magnitude of acceleration)
293 K --> Only magnitude. (Temperature)
200 s --> Only magnitude. (Time)
