Charges of $- 2 \times 10^{- 10} C, 2 \times 10^{- 10}$ and $4 \times 10^{- 10} C$ are placed at the corners A, B and D of a square ABCD of side 2m. Calculate the resultatnt field at the centre of the square.

0.9 N C^{- 1}

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1.8 N C^{- 1}

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0.9 \sqrt{2} N C^{- 1}

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3.6 N C^{- 1}

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Solution

The correct option is C $0.9 \sqrt{2} N C^{- 1}$
$∴ E_{0} = \sqrt{2} \frac{9 \times 10^{9} \times 2 \times 10^{- 10}}{(\sqrt{2})^{2}} = 0.9 \sqrt{2} N C^{- 1}$

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Charges of −2×10−10C,2×10−10 and 4×10−10C are placed at the corners A, B and D of a square ABCD of side 2m. Calculate the resultatnt field at the centre of the square.

The correct option is C 0.9√2 NC−1∴E0=√29×109×2×10−10(√2)2=0.9√2 NC−1

Charges of $- 2 \times 10^{- 10} C, 2 \times 10^{- 10}$ and $4 \times 10^{- 10} C$ are placed at the corners A, B and D of a square ABCD of side 2m. Calculate the resultatnt field at the centre of the square.

The correct option is C $0.9 \sqrt{2} N C^{- 1}$
$∴ E_{0} = \sqrt{2} \frac{9 \times 10^{9} \times 2 \times 10^{- 10}}{(\sqrt{2})^{2}} = 0.9 \sqrt{2} N C^{- 1}$