A uniformly charged conducting sphere of 2.4m diameter has a surface charge density 8.0x10-7C/m2. Find the charge on the sphere. What is the total flux leaving the surface?
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Explanation:
D=2.4m
R=1.2m
charge density=8×10^-7C/m²
C.S.A of sphere = 4πr²
= 4×3.14×(1.2)²
= 18.1m²
charge density = charge/area
charge = charge density× area
= 8×10^-7×18.1
Q = 144.76×10^-7C
by Gass's law
electric flux = charge/permittivity
= Q/ε0
= 144.76×10^-7/8.85×10^-12
= 14.476×10^6/8.85
electric flux = 1.63×10^6 Nm²/C
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