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The number of electric lines of force that radiate outwards from one coulomb of charge in vacuum is1.13×10111.13×10100.61×10110.61×109

Question

The number of electric lines of force that radiate outwards from one coulomb of charge in vacuum is1.13×10111.13×10100.61×10110.61×109

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Solution

The number of electric lines of force that radiate outwards from one coulomb of charge in vacuum is given by Gauss's law. According to Gauss's law, the number of electric lines of force (also known as electric flux) Φ through a closed surface surrounding a charge Q is given by Φ = Q/ε0, where ε0 is the permittivity of free space.

The value of ε0 is approximately 8.85 × 10^-12 C^2/N·m^2.

So, if we substitute Q = 1 C (since we are considering one coulomb of charge) into the equation, we get:

Φ = 1 C / 8.85 × 10^-12 C^2/N·m^2 = 1.13 × 10^11 N·m^2/C.

Therefore, the number of electric lines of force that radiate outwards from one coulomb of charge in vacuum is approximately 1.13 × 10^11.

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