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]
3 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]3 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}

kramer3 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
Proved that<br>V = u+at<br>​
kondaur [170]

Answer:

\sf Proof \ below

Explanation:

We know that acceleration is change in velocity over time.

\sf a=\frac{\triangle v}{t}

\sf a=\frac{v-u}{t}

v is the final velocity and u is the initial velocity.

Solve for v.

Multiply both sides by t.

\sf at=v-u

Add u to both sides.

\sf at + u=v

3 0
3 years ago
Read 2 more answers
What is a conversion factor?
rosijanka [135]

Answer:

A ratio of equivalent units

Explanation:

A conversion factor is a ratio of equivalent units and depends on which units are to be converted.

For example we want to convert 275 [mm] to inches, so we have to find the right conversion factor to allow us to work that conversion.

275 [mm] = inches = ?

275 [mm] * \frac{1in}{25.4mm} = 10.82 [in]

In this case the ratio is 1/25.4 = 0.039 [in/mm]

4 0
3 years ago
20. The speed of Light is 3.0 x 108 m/s. Blue Light has a frequency of 6.11 x 1014 Hz. What is its wavelength?
Sladkaya [172]

Answer:

4.91 x 10⁻⁷ m

Explanation:

the applicable formula is

v = fλ

where

v = velocity (i.e speed) = given as 3.0 x 10⁸ m/s

f = frequency = given asw 6.11 x 10¹⁴

λ = wavelength

if we rearrange the equation and substitute the values given above,

v = fλ

λ = v/f  

= 3.0 x 10⁸ / 6.11 x 10¹⁴

= 4.91 x 10⁻⁷ m

5 0
3 years ago
A hydraulic lift raises 1140 kg car through a height of 2.4 m. What is the potential energy
Sladkaya [172]
1140x9.8x2.4= 26,812.8 significant figures Make it 27,000
5 0
2 years ago
Lab report 1.04 hypothesis
Zanzabum

Answer:a supposition or proposed explanation made on the basis of limited evidence as a starting point for further investigation.

Hope This helps!!

5 0
3 years ago
Other questions:
  • -Select ALL that apply-
    10·1 answer
  • n deep space, sphere A of mass 47 kg is located at the origin of an x axis and sphere B of mass 110 kg is located on the axis at
    14·1 answer
  • How much does 1 liter of water weigh
    14·1 answer
  • HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • How to describe the motion of an object that has an acceleration of 0 m/s
    11·1 answer
  • A jet makes a landing traveling due east with a speed of 120 m/s .
    10·1 answer
  • Scientific work is currently underway to determine whether weak oscillating magnetic fields can affect human health. For example
    14·1 answer
  • What best describes the mass of an electron?
    7·1 answer
  • The 94-lb force P is applied to the 220-lb crate, which is stationary before the force is applied. Determine the magnitude and d
    13·1 answer
  • At what height does a 1000-kg mass have potential energy of 1J relative to the ground?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!