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Electric Charge and Field Physics Electric Charge and Field Physics Class 12th

Two point charges A and B of magnitude + 8 × 10^-6 and -8 × 10^-6C respectively are placed at a distance d apart. The electric field at the middle point O between the charges is 6.4 × 10⁴ NC^-1. The distance ‘d’ between the point charges A and B is:

Option 1 -

2.0 m

Option 2 -

3.0 m

Option 3 -

1.0 m

Option 4 -

4.0 m

2 Views | Posted 2 months ago

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1 Answer

Answered by

alok kumar singh | Contributor-Level 10

2 months ago

Correct Option - 2

Detailed Solution:

E₁ (done to q₁) = $\frac{k, q_{1}}{{(d / 2)}^{2}} = \frac{[9 \times 1 0^{9} \times 8 \times 1 0^{- 6}]}{d^{2}} \times 4$

E₂ (done to q₂) = $\frac{k q_{2}}{{(d / 2)}^{2}} = \frac{[9 \times 1 0^{9} \times 8 \times 1 0^{- 6}]}{d^{2}} \times 4$

Enet = E₁ + E₂

$= 2 [\frac{4 \times 9 \times 1 0^{9} \times 8 \times 1 0^{- 6}}{d^{2}}]$

Given Enet = 6.4 × 104

$\Rightarrow 2 \times [\frac{4 \times 9 \times 1 0^{9} \times 8 \times 1 0^{- 6}}{d^{2}}] = 6.4 \times 1 0^{4}$

d² = 9 × 10^-6 + 6

d= 3m

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Two point charges A and B of magnitude + 8 × 10^-6 and -8 × 10^-6C respectively are placed at a distance d apart. The electric field at the middle point O between the charges is 6.4 × 10⁴ NC^-1. The distance ‘d’ between the point charges A and B is:

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Two point charges A and B of magnitude + 8 × 10-6 and -8 × 10-6C respectively are placed at a distance d apart. The electric field at the middle point O between the charges is 6.4 × 104 NC-1. The distance ‘d’ between the point charges A and B is:

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Two point charges A and B of magnitude + 8 × 10^-6 and -8 × 10^-6C respectively are placed at a distance d apart. The electric field at the middle point O between the charges is 6.4 × 10⁴ NC^-1. The distance ‘d’ between the point charges A and B is: