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3 years ago

Consider two capacitors with unequal capacitance connected in parallel to a battery. Which of the following statements are true?

Physics

1 answer:

Allisa [31]3 years ago

3 0

Answer:

The equivalent capacitance of the combination is greater than the capacitance of either of the capacitors.
The voltage across each of the capacitors is the same.
The sum of the charge stored on each capacitor is equal to the charge supplied by the battery.

Explanation:

The capacitance connected in parallel will have the same potentials across its ends. If the battery has a charge Q, it is divided among the capacitors.

That is,

Q = q₁ + q₂ + q₃

But, the potential is shared equally as V. So, the individual capacitance of the equation has the form q₁ = C₁V , q₂ = C₂V, etc.

So, in this case, when the effective capacitance is formulated, it would be

C = C₁ + C₂ + C₃ farad

Therefore, the true statements are

The equivalent capacitance of the combination is greater than the capacitance of either of the capacitors.

The potential across each of the capacitors is the same.

The charge supplied by the battery divided among the capacitors.

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diamong [38]

Answer:1.6 rad/s

Explanation:

Given

moment of Inertia of disk $I=5 kg-m^2$

radius of disc $r=0.25 m$

Force $F=8 N$

Torque $T=I\alpha =F\cdot r$

$5\times \alpha =8\times 0.25$

$\alpha =0.4 rad/s^2$

using

$\theta =\omega _0\times t+\frac{\alpha t^2}{2}$

$\pi =0+\frac{0.4t^2}{2}$

$2\pi =0.4t^2$

$t^2=5\pi$

$t=\sqrt{5\pi }$

$t=3.96 s$

$\omega =\omega _0+\alpha t$

$\omega =0+0.4\times 3.96$

$\omega =1.58 rad/s\approx 1.6 rad/s$

3 0

4 years ago

Which of the following is NOT an important physical property of matter?

Xelga [282]

Volume isn't a property of matter at all. You can have a big lump or a tiny lump of the same substance.

5 0

3 years ago

Assuming that the cost of 16-gauge steel sheet metal is $25.00 per square meter, what is the ideal radius and height of a cylind

Anton [14]

Answer: Radius = 32.7 cm and height = 65.5 cm

Explanation:

An oil drum must have a volume of 218 liters or 218*1000cm^3 = 218,000 cm^3

The price is per square meter, so if we reduce the surface of the oil drum, we will pay less:

So we want to play with the measures of the oil drum in such a way that the surface is minimized.

Now, first, the volume of the oil drum (a cylinder) is:

V = pi*r^2*h

where pi = 3.14, r is the radius and h is the height.

and the surface is:

S = 2*pi*r^2 + 2*pi*r*h

we know that:

pi*r^2*h = 218,000 cm^3

r^2*h = 218,000cm^3/3.14 = 70,096.5 cm^3

now we can write

h = 70,096.5 cm^3/r^2

now we can replace it in the surface equation:

S = 2*pi*r^2 + 2*pi*r*h

= 6.28*(r^2 + 70,096.5 cm^3/r)

So we want to minimize this, we can derivate it and find the zero:

S' = 6.28(2*r - 70,096.5 cm^3/r^2) = 0

2r = 70,096.5 cm^3/r^2

r^3 = (70,096.5 cm^3)/2

r = ∛( (70,096.5 cm^3)/2 ) = 32.7cm

And then the height is:

h = 70,096.5 cm^3/r^2 = 70,096.5 cm^3/(32.7cm)^2 = 65.5cm

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3 years ago

What is an inertial reference frame?

Gennadij [26K]

<h2>Answer: A system in which Newton's Laws are fulfilled</h2>

An inertial reference system is a reference system in which the principle of inertia is fulfilled, which is one of Newton's laws:

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In addition, the other Newton's laws of movement are fulfilled.

Therefore, the variation of the linear momentum of the system is equal to the actual forces on the system.

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3 years ago

A wave is moving toward shore with a velocity of 5.0 m/s. If the frequency is 2.5 Hz, what is the wavelength?

DochEvi [55]

Wavelength= velocity/frequency
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5 0

4 years ago