A spherical capacitorconsists of a conducting ball of radius 4 cm that is center

Question

A spherical capacitorconsists of a conducting ball of radius 4 cm that is centeredinside a grounded conducting spherical shell of inner radius 5cm.
What charge is required to achieve a potential of 1290 V on theball of radius 4 cm? The Coulomb constant is 8.98755 × 109 N· m2/C2.

Answer in units of C. A spherical capacitorconsists of a conducting ball of radius 4 cm that is centeredinside a grounded conducting spherical shell of inner radius 5cm.
What charge is required to achieve a potential of 1290 V on theball of radius 4 cm? The Coulomb constant is 8.98755 × 109 N· m2/C2.

Answer in units of C.

Explanation / Answer

Potential V = 1290 V

Radius r = 4 cm = 0.04 m

Coulomb’s constant K = 8.98755 * 10 ^ 9 N m^2 / C ^2

                        = 4.4493 * 10 ^ -12 F

Therefore required charge Q = CV

                                               = 5.7397 * 10 ^ -9 C

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