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Home / Doubts and Solutions/NEET/Physics

the capacitance of a metallic sphere is 1 uf, then it's radius is nearly (1) 1.11 m (2) 10 m (3) 9 km (4) 1.11 cm

Asked by Kuldeepjangde333 4th May 2023, 11:49 AM
Answered by Expert
Answer:
Capacitance of solid sphere = ( 4πεo )R 
 
where εo is permittivity of free space and R is radius of sphere.
 
If the capacitance of solid shere is 1μF , then we have
 
begin mathsize 14px style left parenthesis space 4 pi epsilon subscript o space right parenthesis space cross times space R space space equals space 10 to the power of negative 6 end exponent space F end style
 
begin mathsize 14px style R space equals space fraction numerator 10 to the power of negative 6 end exponent over denominator left parenthesis space 4 space pi epsilon subscript o right parenthesis end fraction space equals space 10 to the power of negative 6 end exponent cross times 9 cross times 10 to the power of 9 space m end style
Hence radius R = 9 × 10-3 m = 9 mm 
 
Hence we can say that radius is nearly 1.1 cm
Answered by Expert 4th May 2023, 10:00 PM
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