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Delvig [45]
3 years ago
7

A parallel plate capacitor is made of two large plates ofarea

Physics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

C = \frac{\epsilon_0 \epsilon_1 A}{\epsilon_0 t + \epsilon_1(a-t)}\\

Explanation:

If there is a dielectric slab with thickness less than the distance between the plates is inserted inside a capacitor, then that capacitor can be regarded as two capacitors connected in series.

Let's assume that the slab is placed onto the lower side. So, the capacitance of that part of the capacitor, C1 is

C_1 = \epsilon_1\frac{A}{t}

where \epsilon_1 is the permittivity of the slab.

The other part of the capacitor is

C_2 = \epsilon_0 \frac{A}{a-t}

Two capacitors are connected in series:

\frac{1}{C} = \frac{1}{C_1} + \frac{1}{C_2} = \frac{1}{\epsilon_1 \frac{A}{t}} + \frac{1}{\epsilon_0 \frac{A}{a-t}} = \frac{t}{\epsilon_1 A} + \frac{a-t}{\epsilon_0 A} = \frac{\epsilon_0 t + \epsilon_1 (a-t)}{\epsilon_0 \epsilon_1 A}\\C = \frac{\epsilon_0 \epsilon_1 A}{\epsilon_0 t + \epsilon_1(a-t)}

If we know the charge of the plates, we could relate the potential V0 to capacitance via

C = \frac{Q}{V_0}

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Explanation:

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Read 2 more answers
To answer this question, suppose that each vehicle is moving at 7.69 m/s and that they undergo a perfectly inelastic head-on col
Maurinko [17]

Answer:

Force(F) = -80,955.01 N

Explanation:

We need to first determine the impulse that the truck driver received from the car during the collision

So; m₁v₁ - m₂v₂ = (m₁m₂)v₀

where;

m₁ = mass of the truck = 4280 kg

v₁ = v₂ =  speed of the each vehicle = 7.69 m/s

m₂ = mass of the car = 810 kg

Substituting our data; we have:

(4280×7.69) - (810×7.69) = (4280+810)v₀

32913.2 - 6228.9 = (5090)v₀

26684.1 =  (5090)v₀

v₀ = \frac{26684.1}{5090}

v₀ = 5.25 m/s

NOW, Impulse on the truck = m (v₀ - v)

= 4280 × (5.25 - 7.69)

= 4280 ×  (-2.44)

= -10,443.2 kg. m/s

Force that the seat belt exert on the truck driver can be calculated as:

Impulse = Force × Time

-10,443.2 kg. m/s = F (0.129)

F = \frac{-10,443.2}{0.129}

Force(F) = -80,955.01 N

Thus, the Force that the seat belt exert on the truck driver = -80,955.01 N

4 0
3 years ago
Piano tuners tune pianos by listening to the beats between the harmonics of two different strings. When properly tuned, the note
mote1985 [20]

Answer:

Frequency = 658 Hz

Explanation:

The third harmonics of A is,

f_{A}=(3)(440Hz)=1320Hz

The second harmonics of E is,

f_{E}=(2)(659Hz)=1318Hz

The difference in the two frequencies is,

delta_f = 1320 Hz - 1318 Hz = 2 Hz

The beat frequency between the third harmonic of A and the second harmonic of E is,

delta_f = 3f_{A}-2f_{E}

f_{E}=\frac{3f_{A}-delta_f}{2}

We have calculate the frequency of the E string when she hears four beats per second, then

delat_f = 4 Hz

f_{E}=\frac{3(440Hz)-4Hz}{2}

f_{E}=658Hz

Hope this helps!

5 0
3 years ago
When the Sun is directly overhead, the intensity of sunlight reaching the ground is about 1000 W/m^{2} 2 . The Earth has a radiu
Hunter-Best [27]

Answer:

The total power associated with sunlight shining on the Earth is 8.04 × 10^10W

Explanation: Please see the attachment below

6 0
3 years ago
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