Question

Name the charge configuration for which electric field at distances 1cm ,2cm, 3cm are in the

ratio%

a) 1: 1/8 : 1/27

b) 1: 1/4 : 1/9
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Answer 1

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Answer 2

Disclaimer:

The complete question must be:

The charge configuration for which electric field at distances 1 cm, 2 cm, and 3 cm are in the ratio of

a) 1: 1/8: 1/27       b) 1: 1/4: 1/9

Concept:

An Electric field can be defined as the physical field in which all other charged particles in the field exert an electric force, either attracting or repelling.

E = F/q = Gq/r²

Given:

The electric field at distances of 1 cm, 2 cm, and 3 cm.

Find:

The ratios of the electric field.

Solution:

The electric field is inversely proportional to the distance, for the same charge,

E = F/q = Gq/r²

E₁ : E₂ : E₃ = (Gq/r₁²) : (Gq/r₂²) : (Gq/r₃²)

Cancelling out the common terms,

E₁ : E₂ : E₃ = (1/r₁²) : (1/r₂²) : (1/r₃²)

E₁ : E₂ : E₃ = (1/1²) : (1/2²) : (1/3²)

E₁ : E₂ : E₃ = (1) : (1/4) : (1/9)

Hence, the ratio of the electric field at distances of 1 cm, 2 cm, and 3 cm is 1: 1/4: 1/9. Hence, the correct option is (b) 1: 1/4: 1/9.

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