1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lorico [155]
3 years ago
10

When a certain air-filled parallel-plate capacitor is connected across a battery, it acquires a charge of 200 µC on each plate.

While the battery connection is maintained, a dielectric slab is inserted into, and fills, the region between the plates. This results in the accumulation of an additional charge of 250 µC on each plate. What is the dielectric constant of the dielectric slab?
Physics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

The value is \epsilon =  2.25

Explanation:

From the question we are told that

The charge acquired on each plate is q =  200 \mu C  =  200 *10^{-6} \  C

The additional charge accumulated on each plate is q_a =  250 \mu C  =  250 *10^{-6} \ C

Generally the capacitance of the capacitor before a dielectric slab is inserted is

C_i =  \frac{q}{V}

=> C_i =  \frac{200 \mu C}{V}

Generally the total charge on each plate of the capacitor when the dielectric slab was inserted is

Q =  q + q_a

=> Q = ( 200 + 250 ) \mu C

=> Q = 450 \mu C

Generally the capacitance of the capacitor after a dielectric slab is inserted is mathematically represented as

C =  \frac{450 \mu C}{V}

Generally the dielectric constant is mathematically represented as

\epsilon =  \frac{C}{C_i}

=>      \epsilon =  \frac{450 \mu C}{200  \mu C}

=>       \epsilon =  2.25

You might be interested in
A cross-country skier can complete a 7.5 km race in 45 min. What is the skier’s average speed?
Alecsey [184]
To calculate for the average speed, we simply divide the total distance covered by the time it takes to travel that distance. In this case, we simply divide 7.5 km with 45 min. Therefore, the skier's average speed is 0.1667 km/min. Hope this helps.
7 0
3 years ago
Read 2 more answers
A light ray traveling through medium 1, index of refraction n1n1n_1 = 1.75, reaches the interface between medium 1 and medium 2,
horrorfan [7]

Answer:

θ₁ = 35.32°

Explanation:

given,

refractive index of medium 1 = n₁ = 1.75

refractive index of medium 2 = n₂ = 1.24

condition to describe the refracted angle

 \theta_{refracted} + \theta_{reflected}=90^0

 \theta_2 = 90^0-\theta_1...(1)

Using Snell's Law

   n₁ sin θ₁ = n₂ sin θ₂

θ₁ , θ₂ is the angle of incidence and refractive index

n₁. n₂ is the refractive index medium 1 and medium 2

   1.75 x  sin θ₁ = 1.24 x sin θ₂

From equation (1)

   1.75 x  sin θ₁ = 1.24 x sin (90-θ₁)

   1.75 sin θ₁ = 1.24 cos θ₁

      tan θ₁ = 0.708

         θ₁ = 35.32°

Hence, angle of incidence is equal to θ₁ = 35.32°

7 0
3 years ago
What is the smallest gravity in solar system?
Strike441 [17]

Answer:

Mercury

Explanation:

7 0
3 years ago
Read 2 more answers
What pressure expressed in pascals equals 70 N/m2?
12345 [234]
Pascals = N/m2
so it is the same unit
the answer is 70 Pa
4 0
3 years ago
Read 2 more answers
Light of wavelength 608.0 nm is incident on a narrow slit. The diffraction pattern is viewed on a screen 88.5 cm from the slit.
Effectus [21]

Answer:

The width of the slit is 0.167 mm

Explanation:

Wavelength of light, \lambda=608\ nm=608\times 10^{-9}\ m

Distance from screen to slit, D = 88.5 cm = 0.885 m

The distance on the screen between the fifth order minimum and the central maximum is 1.61 cm, y = 1.61 cm = 0.0161 m

We need to find the width of the slit. The formula for the distance on the screen between the fifth order minimum and the central maximum is :

y=\dfrac{mD\lambda}{a}

where

a = width of the slit

a=\dfrac{mD\lambda}{y}

a=\dfrac{5\times 0.885\ m\times 608\times 10^{-9}\ m}{0.0161\ m}

a = 0.000167 m

a=1.67\times 10^{-4}\ m

a = 0.167 mm

So, the width of the slit is 0.167 mm. Hence, this is the required solution.

7 0
3 years ago
Other questions:
  • When checking for noncondensables inside a recovery cylinder why should the technician allow the temperature of the cylinder to
    13·1 answer
  • How does a kitchen sponge floating in water compare to the zone of saturation and the water table
    6·1 answer
  • A particle travels along the x-axis in such a way that its acceleration at time t is a(t) = t + t2. if it starts at the origin w
    14·1 answer
  • A machine has an efficiency of 80% how much work must be done on the machine so to make it do 50000 J of outfit work
    6·1 answer
  • Explain how you can change your workout routine using each of the SPORT and FITT principles.
    15·1 answer
  • Which statements accurately describe Dmitri Mendeleev’s contributions to the development of the periodic table? Check all that a
    13·2 answers
  • A cargo elevator on Earth (where g = 10 m/s2) lifts 3000 kg upwards by 20 m. 720 kJ of electrical energy is used up in the proce
    11·1 answer
  • Two circular coils are concentric and lie in the same plane. The inner coil contains 120 turns of wire, has a radius of 0.012 m,
    10·1 answer
  • Electric field lines point from positive charges to negative charges. A. True B. False​
    15·1 answer
  • Which one is the dependent variable in distance, force, or work
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!