Two point charges of + 3 μ C and − 3 μ C are placed at a certain distance apart from each other. Electric potential at a distance 60 cm from the mid-point of dipole on axial line is 150 V , then the v

Question

Two point charges of + 3 μ C and − 3 μ C are placed at a certain distance apart from each other. Electric potential at a distance 60 cm from the mid-point of dipole on axial line is 150 V , then the value of dipole length is

TestHub · Accepted Answer

Given, V = 150 V r ∴ V ​ = 60 cm = 0.6 m = 4 π ε 0 ​ 1 ​ ⋅ r 2 p cos θ ​ ​ For axial line, θ = 0 ∘ ∴ 150 ⇒ p ​ V = 4 π ε 0 ​ 1 ​ ⋅ r 2 p cos 0 ∘ ​ = ( 0.6 ) 2 9 × 1 0 9 × p × 1 ​ = 9 × 1 0 9 150 × 0.36 ​ ​ p = 6 × 1 0 − 9 cm ⇒ ​ ⇒ ​ 2 a ⋅ q 2 a ​ = 6 × 1 0 − 9 = q 6 × 1 0 − 9 ​ ​ ​ = 3 × 1 0 − 6 6 × 1 0 − 9 ​ = 2 × 1 0 − 3 m ​

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