A spherical capacitor is formed from two concentric spherical conducting shells

Question

A spherical capacitor is formed from two concentric spherical conducting shells seperated by vacuum. the inner sphere has a radius of ra=12.3 cm, and the outer sphere has a radius of rb=15.1 cm. a potential difference of 120 V is applied to the capacitor. A)What is the capacitance of the capacitor (use epsilon_0= 8.85*10^-12 F/m for the permittivity of free space). B)What is the magnitude of E1 of the electric field E at radius r=12.8 cm, just outside the inner sphere? C)What is the magnitude of E at r=14.6 cm?

will rate A+ with full work please.

Explanation / Answer

(A)

C = 4pi*0/(1/R1-1/R2) =7.3702*10-11 F or 73.702 pF

(B)

Q=CV
Q=7.3702*10-11*120

Q=8.8443*10^-9 C per sphere

E(R) = V [ RbRa/R² ] / (Ra - Rb)

=120[12.3*15.1*10^2/[(15.1-12.3)*12.8^2]
=4858.3112 V/m or 4.858 K N/C

(c)

E(R) = V [ RbRa/R² ] / (Ra - Rb)

=120[12.3*15.1*10^2/[(15.1-12.3)*14.6^2]

=3734.2171 V/m or 3.734 K N/C

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.