Question

Electrical capacity of spherical conductor of radius 9 km is

A. 1 UF

C. 1 F

B. 2 UF

D. 9 F​

Answer 1

Explanation:

• C=4π€or
• where r=9km=9×10³m
• value of 1/4π€o = 9×10⁹Nm²/C²

1. Hence, C=1/9×10⁹9×10³ =10–6(10 to the power of -6)
2. C=10–6F
3. Since,10–6F=1uF
4. Hence,1uF is the correct answer....

Answer 2

Electrical capacity of spherical conductor of radius 9 km is ..

• A) 1μF
• B) 1 F
• C) 2μF
• D) 9 F

answer : option (A) 1μF

explanation :

• For spherical conductor, electrical capacity is given by, C = 4πε₀r
• we know, kappa constant, K = 1/4πε₀ = 9 × 10⁹ Nm²/C²

so, electrical capacity of spherical conductor, C = r/K

• here r = radius of spherical conductor = 9 km = 9 × 10³ m
• and K = 9 × 10⁹ Nm²/C²

∴ C = (9 × 10³)/(9 × 10⁹) = 10¯⁶ F = 1μF

Therefore the electrical capacity of spherical conductor of radius 9 km is 1μF.