The electric field at a distance of 20 cm from the centre of a dielectric sphere of radius 10 cm is 100 V/m. Then E at 3 cm distance from the centre of sphere is?

Question

Answer

Analysis of Electric Field at Different Distances from the Centre of a Dielectric Sphere

- Given Data:
- Distance from the centre of the sphere, r1 = 20 cm
- Electric field at r1, E1 = 100 V/m
- Radius of the sphere, R = 10 cm

- Formula:
- The electric field inside a dielectric sphere is given by the formula:
E = (ρ * r) / (3ε), where
E is the electric field at a distance r from the centre,
ρ is the volume charge density inside the sphere,
ε is the permittivity of the material inside the sphere.

- Calculations:
- At r1 = 20 cm, we have:
E1 = (ρ * 20) / (3ε)

- At r2 = 3 cm, we need to find E2:
E2 = (ρ * 3) / (3ε)

- Relation between E1 and E2:
- Since the charge density ρ and permittivity ε are constant for the sphere, we can compare the electric fields at different distances using the formula:
E1 / E2 = r1 / r2

- Calculation of E2:
- Using the relation above, we can calculate E2 as:
E2 = E1 * (r2 / r1)

- Substitute Values:
- E2 = 100 * (3 / 20) = 15 V/m

Therefore, the electric field at a distance of 3 cm from the centre of the dielectric sphere is 15 V/m.

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Similar NEET Doubts

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 conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C?

Q)A hollow charged metal sphere has radius r. If the potential difference between its surface and a point at a distance 3r from the centre is V, then the electric field intensity at distance 3r from the centre is (1)V/2r (2)V/6r (3)V/4r (4) V/3r Option 2 is correct !can u explain?

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The electric field at 2R from the centre of a uniformly charged non-conducting sphere of radius R is E. The electric field at a distance R/2 from the centre will be ??

Top Courses for NEETView all

Biology Class 11

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