If the circumference of a sphere is 2 m, then capacitance of sphere in water would be

Question

If the circumference of a sphere is 2 m, then capacitance of sphere in water would be (A) 2700 (B) 2760 (C) 2780 (D) 2800

Tardigrade Admin · Accepted Answer

Given, circumference 2π r=2 Now, capacitance of a sphere =4π ε 0r ∴ C=4ε 0 Capacitance of sphere in water = KC =K(4 ε 0)=80× 4× 8.85× 10-12 [As Kwater=80 ] ≃ 2800pF

Q. If the circumference of a sphere is 2 m, then capacitance of sphere in water would be

2700

2760

2780

2800

Given, circumference $2 π r = 2$ Now, capacitance of a sphere $= 4 π ε_{0} r$ $∴$ $C = 4 ε_{0}$ Capacitance of sphere in water = KC $= K (4 ε_{0}) = 80 \times 4 \times 8.85 \times 10^{- 12}$ [As $K_{w a t er} = 80$ ] $≃ 2800 pF$

Q. If the circumference of a sphere is 2 m, then capacitance of sphere in water would be

2700

2760

2780

2800

Given, circumference 2πr=2 Now, capacitance of a sphere =4πε0​r ∴ C=4ε0​ Capacitance of sphere in water = KC =K(4ε0​)=80×4×8.85×10−12 [As Kwater​=80 ] ≃2800pF

Given, circumference $2 π r = 2$ Now, capacitance of a sphere $= 4 π ε_{0} r$ $∴$ $C = 4 ε_{0}$ Capacitance of sphere in water = KC $= K (4 ε_{0}) = 80 \times 4 \times 8.85 \times 10^{- 12}$ [As $K_{w a t er} = 80$ ] $≃ 2800 pF$