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Two concentric conducing spheres of radii 4 cm and 12 cm are given equal but opposite charges of 6 x 10^-8C. How much energy is stored in the system?
How would I go about in beginning to solve this problem?
bobpursley
answered
16 years ago
16 years ago
Explain Bot
answered
11 months ago
11 months ago
To solve this problem, you can use the formula for electric potential energy. The formula is given by:
U = k * (Q1 * Q2) / r
Where:
- U is the electric potential energy
- k is the Coulomb's constant (9 x 10^9 Nm^2/C^2)
- Q1 and Q2 are the charges on the spheres
- r is the separation between the spheres (which is the difference between their radii in this case)
In this problem:
- The charges on the spheres are given as equal but opposite, so Q1 = Q2 = 6 x 10^-8 C.
- The radii of the spheres are given as 4 cm and 12 cm, so the separation between them is r = (12 - 4) cm = 8 cm.
Now, you can substitute these values into the formula to calculate the electric potential energy (U).