alculate the cap Assume that the inner fed spherical metal shells. shell has an

Question

alculate the cap Assume that the inner fed spherical metal shells. shell has an outside radius of R, and the outer shell has an inner radius of R Eas 9 ne we want to build a 100 uF parallel-plate ca pacitor whose metal plates have an area of 1 m (a) What should the plate separation be? Does this seem practical? (b) If the potential difference between the two plates is only 1 v, what is the magnitude of the electric field between the plates? Air breaks down and conducts electricity at field strengths

Explanation / Answer

A) Capacitance C = eo*A/d

100*10^-6 = (8.85*10^-12*1)/d

Seperation between the paltes is d = (8.85*10^-12*1)/(100*10^-6) = 8.85*10^-8 m = 88.5 nm

B) Electric field is E =V/d = 1/(88.5*10^-9) = 11.3*10^6 N/C

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