Answer:
Explanation:
You have that a parallel plate capacitor has a total energy of E when the distance between the plates is d and the charge on each plate is Q.
You take into account the following formula for the stored energy in the capacitor:
(1)
The capacitance C of the parallel plate capacitor is given by the following formula is:
(2)
A: area of the plates
ε0: dielectric permittivity of vacuum
You replace the expression (2) into the equation (1):
(3)
the previous formula is the expression for the total energy stored for the given parameters A, d and Q.
If the distance between the plates is twice and it is required that the energy is three times the initial energy, to find the value of the charge you use the equation (3):
(4)
d' = 2d
E' = 3E
Q': required charge
You replace the values of d' and E' in the equation (4) and then divide the result with the equation (3):
Finally, you solve for Q':
Then, the required charge is √6Q , to obtain three times the initial energy E, when the distance between plates is doubled.
Answer:
The ratio is 4
Explanation:
The moment of inertia of a solid sphere about a central axis is:
With m the mass and r the radius of the sphere.
For the smaller sphere with mass M and radius R the moment of inertia is:
(1)
For the bigger sphere with mass M and radius 2R the moment of inertia is:
(2)
The ratio between larger of the larger sphere's moment of inertia about a central axis to that of the smaller sphere is the ratio between (2) and (1):
The term cancels, so:
Answer:
Don't be there, notice patterns, ask for help.
Explanation:
it is generated by two objects pushing against each other with equal/almost equal force, therefore contracting against each other
Answer:
b. unity
Explanation:
In the images I added you can observe Atsuko Tanak's works, in both of them you can observe how <em>the sum of colorful and repetitive elements creates the sensation of unity.</em>
I hope you find this information useful and interesting! Good luck!