Physlets run in a Java-enabled browser, except Chrome, on the latest Windows & Mac operating systems. If Physlets do not run, click here for help on updating Java and setting Java security.
Problem 26.12: Calculate capacitance of concentric spheres
Please wait for the animation to completely load.
The animation shows a spherical conductor surrounded by a conducting spherical shell. The two conductors have equal but opposite charge and the voltage difference between the two is 50 V (position is given in centimeters and charge is given in nanocoulombs). The field vectors for the electric field (kQ/r2) are shown in the region between the shell and the inner sphere and are zero everywhere else. Restart.
- Develop an expression for the charge as a function of the radius of the outer sphere and verify it with the animation.
- Develop an expression for the capacitance as a function of radius.
- Does the capacitance increase or decrease with increasing shell size? Explain.
Problem authored by Anne J. Cox.