NEET Exam  >  NEET Questions  >  The electric field at a distance of 20 cm fro... Start Learning for Free
The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be?
Most Upvoted Answer
The electric field at a distance of 20 cm from the center of a dielect...
Electric Field at a Distance of 3 cm from the Center of a Dielectric Sphere

To determine the electric field at a distance of 3 cm from the center of a dielectric sphere, we need to consider the properties of the dielectric material and the relationship between the electric field and distance from the center of the sphere.

Given information:
- Distance from the center of the sphere, r₁ = 20 cm = 0.2 m
- Radius of the dielectric sphere, R = 10 cm = 0.1 m
- Electric field at a distance of 20 cm from the center, E₁ = 100 V/m

Electric Field and Distance Relationship:
The electric field inside a uniformly charged sphere is given by the equation:
E = k * Q * r / (R³ * ε)

Where:
- E is the electric field
- k is the Coulomb constant (9 x 10⁹ Nm²/C²)
- Q is the total charge of the sphere
- r is the distance from the center of the sphere
- R is the radius of the sphere
- ε is the permittivity of the dielectric material

Calculating the Total Charge:
Since the dielectric sphere is uniformly charged, we can calculate the total charge using the equation:
Q = (4/3) * π * R³ * σ

Where:
- σ is the charge density

Calculating the Electric Field at a Distance of 3 cm:
We need to find the electric field at a distance of 3 cm from the center, which is denoted as E₂.
Using the equation for the electric field, we can rearrange it to solve for E₂:
E₂ = E₁ * r₁ * (R³ * ε) / (r₂ * (R³ * ε))

Substituting the given values:
E₂ = 100 V/m * 0.2 m * (0.1 m)³ * ε / (0.03 m * (0.1 m)³ * ε)

Simplifying the Equation:
Since the dielectric constant (ε) is the same for both distances, it cancels out in the equation. Therefore, the value of ε does not affect the electric field at the distance of 3 cm.

E₂ = 100 V/m * 0.2 m / 0.03 m

Calculating the Electric Field:
E₂ = 2000 V/m / 0.03 m

E₂ = 66666.67 V/m

Therefore, the electric field at a distance of 3 cm from the center of the dielectric sphere is approximately 66666.67 V/m.
Community Answer
The electric field at a distance of 20 cm from the center of a dielect...
If the electric field at a distance of 20cm from the centre of a dielectric sphere of radius 10cm is, 100V/m. Then E at 3cm distance from the centre of sphere is Electric field=kq/d^2 Where 'd' is the distance from the centre Electric field at a distance of 20 cm(E1)=kq/20^2 Electric field at a distance of 20 cm(E2)=kq/3^2 E1/E2=3^2/20^2 but E1 is given and E1=100 V/m 100/E2=3^2/20^2 E2=20^2*100/3^2=4.444 x 10 V/m Therefore, E at 3cm distance from the centre of sphere is 4.444 x 10^3 V/m.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be?
Question Description
The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be?.
Solutions for The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be? defined & explained in the simplest way possible. Besides giving the explanation of The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be?, a detailed solution for The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be? has been provided alongside types of The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be? theory, EduRev gives you an ample number of questions to practice The electric field at a distance of 20 cm from the center of a dielectric sphere of radius 10 cm is 100 volt per metre then electric field at 3 cm distance from the center will be? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev