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A large parallel plate capacitor is made up of two plane conducting sheets with seperation D, oneo f which has a small hemispherical boss of radius a on its inner surface (D >> a). The conductor with the boss is kept at zero potential, and the other conductor is at a potential such that far from the boss the electric field between the plates is Eo.
(a) Calculate the surface-charge densities at an arbitrary point on the plane and on the boss, and sketch their behavior as a function of distance (or angle).
(b) Show that the total charge on the boss has the magnitude 3*pi*e0*E0*a^2.
(c) If, instead of the other conducting sheet at a different potential, a point charge q is placed directly above the hemispherical boss at a distance d from its center, show that the charge induced on the boss is:q' = -q[1 - (d^2-a^2)/(d*sqrt*d^2+a^2)]
An Air capacitor consisting of two closely spaced parallel plates has a capacitance of 1000 pF. The charge on each plate is 1 micro C. What is the potential difference between the plates. If the charge is kept constant.
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design a multirange ammeter with ranges of 1-10mA,0-100mA, and 0-1500mA, using a 5mA movement whose internal resistance is 3.8ohms. draw a circuit diagram of the meter.
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