Suppose that we have a 1000 pF parallel-plate capacitor with air dielectric charged to 1000 V. The capacitors terminals are open
circuited. Find the stored energy. If the plates are moved apart so that d is doubled, determine the new voltage on the capacitor and the new stored energy. Where did the extra energy come from?
1 answer:
Answer:
A) initial stored energy = 5x10^-4 J
B) new voltage if space is doubled will be 2000V
C) if space is doubled, stored energy becomes 2x10^-3 J
D) the extra energy comes from the work done in moving the plates further apart
Explanation:
Detailed explanation and calculation is shown in the image below
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Given Information:
Inlet velocity = Vin = 25 m/s
Exit velocity = Vout = 250 m/s
Exit Temperature = Tout = 300K
Exit Pressure = Pout = 100 kPa
Required Information:
Inlet Temperature of argon = ?
Inlet Temperature of helium = ?
Inlet Temperature of nitrogen = ?
Answer:
Inlet Temperature of argon = 360K
Inlet Temperature of helium = 306K
Inlet Temperature of nitrogen = 330K
Explanation:
Recall that the energy equation is given by
Where Cp is the specific heat constant of the gas.
Re-arranging the equation for inlet temperature
For Argon Gas:
The specific heat constant of argon is given by (from ideal gas properties table)
So, the inlet temperature of argon is
For Helium Gas:
The specific heat constant of helium is given by (from ideal gas properties table)
So, the inlet temperature of helium is
For Nitrogen Gas:
The specific heat constant of nitrogen is given by (from ideal gas properties table)
So, the inlet temperature of nitrogen is
Note: Answers are rounded to the nearest whole numbers.