Two metal spheres of radii a and b are connected by a thin wire.Their separation is very large compared to their dimensions.The capacitance of this system is
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Final Answer : 4π£°(a + b)
Steps and Understanding:
1) Thin wire is connected between them
=> Both spheres have potential.
=> Both are connected in parallel as shown in figure.
2) Separation is very large as compared to dimensions
=> Interaction between them is negligible.
=> We can use Capacitance of Individual sphere for each capacitor
3) Capacitance of parallel sysrem of capacitors
is sum of individual capacitors.
C(eq) = C(1) + C(2)
4) Individual capacitance of sphere if Radius R is 4π£°R.
For Calculation see pic.
Steps and Understanding:
1) Thin wire is connected between them
=> Both spheres have potential.
=> Both are connected in parallel as shown in figure.
2) Separation is very large as compared to dimensions
=> Interaction between them is negligible.
=> We can use Capacitance of Individual sphere for each capacitor
3) Capacitance of parallel sysrem of capacitors
is sum of individual capacitors.
C(eq) = C(1) + C(2)
4) Individual capacitance of sphere if Radius R is 4π£°R.
For Calculation see pic.
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