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PhysicsEasyMCQ2025 · 29 Jan Shift 2

Q44.A point charge causes an electric flux of −2 × 104Nm2C−1 to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is : (Given ϵ0 = 8.85 × 10−12C2 N−1 m−2 ) (1) 15.7 × 10−8C (2) 17.7 × 10−8C (3) −15.7 × 10−8C (4) −17.7 × 10−8C

What This Question Tests

This question is a straightforward application of Gauss's Law to calculate the enclosed charge given the electric flux through a closed surface, requiring only one formula and calculation.

Concepts Tested

Gauss's LawElectric fluxPermittivity of free space

Formulas Used

Φ = Q_enclosed / ε₀

📚 NCERT Sections This Tests

1.19A Point Charge Causes An Electric Flux Of –1.0 × 103 Nm2/C To Pass

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1.19 A point charge causes an electric flux of –1.0 × 103 Nm2/C to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge. (a) If the radius of the Gaussian surface were doubled, how much flux would pass through the surface? (b) What is the value of the point charge?

1.18A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian

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1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?

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Physics Class 11 · Chapter 2

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2.4 A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c) at a point 18 cm from the centre of the sphere?