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
kakasveta [241]
2 years ago
14

Three +3.0-μC point charges are at the three corners of a square of side 0.50 m. The last corner is occupied by a −3.0-μC charge

. Find the magnitude of the electric field at the center of the square. (k=1/4πϵ0=8.99×109 N.m^2/C^2)

Physics
2 answers:
PolarNik [594]2 years ago
5 0

Answer:

E=4.32\times 10^{5}\ N.C^{-1}

Explanation:

Given:

  • charges at the each of the three corner of a square, q_1=q_2=q_3=+3\times 10^{-6}\ C
  • side of the square, a=0.5\ m
  • charge at the remaining corner of the square, q_4=-3\times 10^{-6}\ C

<u>Distance of the center of the square from each of the vertex of square:</u>

Using Pythagoras theorem:

d^2+d^2=a^2

2d^2=0.5^2

d=0.3536\ m

As there two equal like charges at an equal distance on the opposite ends of a diagonal so they will cancel out the effect of field due to each other.

<u>Electric field at the center of the square due to </u>q_4<u>:</u>

E_4=\frac{1}{4\pi.\epsilon_0} \times \frac{q_4}{d^2}

E_4=9\times 10^9\times\frac{3\times 10^{-6}}{0.125}

E_4=216\times10^{3}\ N.C^{-1}

The charge on the opposite vertex will have the equal effect in the same direction which is towards the charge q_4. (refer the attached schematic)

<u>So, the net electric field at the center:</u>

E=2\times E_4

E=2\times 216\times 10^3

E=4.32\times 10^{5}\ N.C^{-1}

kramer2 years ago
3 0

Answer:

E = 440816.32 N/C

Explanation:

Given data:

Three point charge of charge equal to +3.0 micro coulomb

fourth point charge = - 3.0 micro coulomb

side of square = 0.50 m

K =1/4 \pi \epsilon_0 = 8.99 \times 10^9 N.m^2/c^2

Due to having equal charge on center of square, 2 charge produce equal electric field at center and other two also produce electric field at center of same value

So we have

E_1 + E_3 = 0

E =E_2 + E_4

E = 2 E_2

[E_2 =\frac{2\times k \times q}{r^2}

[r= \frac{(0.5^2 + 0.5^2)^2}{2} = 0.35 m]

plugging all value

E = 2 E_2

E = 2 E_2 =\frac{2\times k \times q}{r^2}

E = \frac{2 \times 8.99 \times 10^93\times 10^{-6}}{0.35^2}

E = 440816.32 N/C

You might be interested in
Mbbnmzmzkdjhxhxndmfmfmckcjcjcncncngmgkgjcjcj
Amiraneli [1.4K]
Gmsisient djaektnfidiaus wjrnrksiauenrnsiaur msiwlwkrjsuakeurjrndkaiakejrjd laismrnff
8 0
3 years ago
Read 2 more answers
A proton has been accelerated from rest through a potential difference of -1350 V. What is the proton's kinetic energy, in elect
Luba_88 [7]

Answer:

1 eV = 1.60 * 10^-19 J      work done in accelerating electron thru 1 V

KE (total energy) = 1350 ^ 1 eV     (note proton goes from +  to -)

KE = 1.60 * 10^-19 * 1350 = 2.16 * 10^-16 Joules

1/2 m v^2 = KE = 2.16 * 10^-16 J

v^2 = 4.32 * 10E-16 / 1.67 * 10-27 = 2.59 * 10^11

v = 5.09 * 10^5 m/s

8 0
3 years ago
A car is driving along a road at a speed of 50 km/hr. How far will the car travel in 5 hours?​
BARSIC [14]

Answer:

I think it's 250

Explanation:

If the car is traveling 50 km/hr that means every hour, the car drives 50 km. So if you want to know how far it will go in 5 hours you do 50x5.

4 0
2 years ago
A concert loudspeaker suspended high off the ground emits 34 W of sound power. A small microphone with a 1.0 cm2 area is 44 m fr
rjkz [21]

Answer:

<u>Part A</u>

I = 1.4 mW/m²  

<u>Part B</u>

β = 91.46 dB

Explanation:

<u>Part A</u>

Sound intensity is the power per unit area of sound waves in a direction perpendicular to that area. Sound intensity is also called acoustic intensity.

For a spherical sound wave, the sound intensity is given by;

                                            I = \frac{P}{A}

                                            I = \frac{P}{4\pi r^{2}}

Where;

P is the source of power in watts (W)

I is the intensity of the sound in watt per square meter (W/m2)

r is the distance r away

Given:

P = 34 W,

A = 1.0 cm²

r = 44 m

The sound intensity at the position of the microphone is calculated to be;

                                     I = \frac{34}{4\pi (44)^{2}}

                                     I = \frac{34}{4\pi (44)^{2}}

                                     I = 0.0013975 W/m²

                                 ≈  I = 0.0014 W/m² = 1.4 × 10⁻³ W/m²

                                     I = 1.4 mW/m²

The sound intensity at the position of the microphone is 1.4 mW/m².

<u>Part B</u>

Sound intensity level or acoustic intensity level is the level of the intensity of a sound relative to a reference value.  It is a a logarithmic quantity. It is denoted by β and expressed in nepers, bels, or decibels.

Sound intensity level is calculated as;  

                                    β = 10log_{10}\frac{I}{I_{0}}  dB

Where,

β is the Sound intensity level in decibels (dB)

I is the sound intensity;

I₀ is the reference sound intensity;

By pluging-in, I₀ is 1.0 × 10⁻¹² W/m²

           ∴        β = 10log_{10}\frac{1.4 * 10^{-3} W/m^{2}}{1.0 * 10^{-12} W/m^{2}}

                      β = 10log_{10} (1.4 * 10^{9})

                      β = 91.46 dB

The sound intensity level at the position of the microphone is 91.46 dB.                

4 0
3 years ago
a) Calculate the magnitude of displacement of the car in 40 seconds. b) During which part of the journey was the car acceleratin
Zielflug [23.3K]

Answer:

a)  600 meters

b) between 0 and 10 seconds, and between 30 and 40 seconds.

c) the average of the magnitude of the velocity function is 15 m/s

Explanation:

a) In order to find the magnitude of the car's displacement in 40 seconds,we need to find the area under the curve (integral of the depicted velocity function) between 0 and 40 seconds. Since the area is that of a trapezoid, we can calculate it directly from geometry:

Area \,\,Trapezoid=(\left[B+b]\,(H/2)\\displacement= \left[(40-0)+(30-10)\right] \,(20/2)=600\,\,m

b) The car is accelerating when the velocity is changing, so we see that the velocity is changing (increasing) between 0 and 10 seconds, and we also see the velocity decreasing between 30 and 40 seconds.

Notice that between 10 and 30 seconds the velocity is constant (doesn't change)  of magnitude 20 m/s, so in this section of the trip there is NO acceleration.

c) To calculate the average of a function that is changing over time, we do it through calculus, using the formula for average of a function:

Average\,of\,f(x)=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx

Notice that the limits of integration for our case are 0 and 40 seconds, and that we have already calculated the area under the velocity function (the integral) in step a), so the average velocity becomes:

Avearage=\frac{600\,\,m}{40\,\,s}= 15\,\,\frac{m}s}

7 0
3 years ago
Other questions:
  • Alicia drew a pentagon with equal side length and equal angles.Then she added red lines of symmetry to her drawing. How many lin
    8·1 answer
  • A net horizontal force of 2000 n is applied to an 800-kg car at rest. the car's speed after 5 s will be
    14·1 answer
  • A car travelling at 20 m/s due north along the highway makes a right turn on to a side road that heads due east. It takes 50 s f
    14·1 answer
  • When using water displacement to measure the volume of an irregularly shaped solid, like a rock, which of the following would be
    10·2 answers
  • A comet is traveling through space with a speed of 3.40 ✕ 104 m/s when it collides with an asteroid that was at rest. The comet
    12·1 answer
  • Density is a chemical property of matter.<br> TRUE<br> FALSE
    15·2 answers
  • An alpha particle can be produced in certain radioactive decays of nuclei and consists of two protons and two neutrons. The part
    12·1 answer
  • If we take away a lot of energy from a liquid what phase will it change to ?
    7·1 answer
  • What type of reaction is being shown in this energy diagram?
    14·1 answer
  • an object is thrown straight up. which of the following is true abought the sign of workdone by the force of gravity on the obje
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!