Question

An air-filled spherical capacitor is constructed with an inner-shell radius of 6.50 cm and an outer-shell radius of 14.2 cm. (a) Calculate the capacitance of the device. 0.133 pF (b) What potential difference between the spheres results in a 4.00 ?c charge on the capacitor? 3e4 kV (c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor?

          An air-filled spherical capacitor is constructed with an inner-shell radius of 6.50 cm and an outer-shell radius of 14.2 cm.
(a) Calculate the capacitance of the device.
0.133 pF
(b) What potential difference between the spheres results in a 4.00 ?c charge on the capacitor?
3e4 kV
(c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor?

An air-filled spherical capacitor is constructed with an inner-shell radius of 6.50 cm and an outer-shell radius of 14.2 cm.
(a) Calculate the capacitance of the device.
0.133 pF
(b) What potential difference between the spheres results in a 4.00 ?c charge on the capacitor?
3e4 kV
(c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor?

Added by Tamara H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

08/04/2023

Step 1

85 \times 10^{-12} \, F/m$), $r_1$ is the inner-shell radius, and $r_2$ is the outer-shell radius. Plugging in the given values, we get: $C = 4 \pi (8.85 \times 10^{-12} \, F/m) \frac{(6.50 \times 10^{-2} \, m)(14.2 \times 10^{-2} \, m)}{(14.2 \times 10^{-2} \, Show more…

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An air-filled spherical capacitor is constructed with an inner-shell radius of 6.50 cm and an outer-shell radius of 14.2 cm. (a) Calculate the capacitance of the device. 0.133 pF (b) What potential difference between the spheres results in a 4.00 μc charge on the capacitor? 3e4 kV (c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor?