two small pithballs are 3 cm apart in air a d carry charges of 3x10^-9 c and 12x10^-9 c respectively.A. calculate the force of attraction between them B. the force of balls are touch and then seperste by a distance of 3cm
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use Coulomb's law, F=(kq1q2)/r^2
from this you'll get F as 1.08 ×10^-7 N
from this you'll get F as 1.08 ×10^-7 N
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GIVEN ;
Two small pith balls are 3 cm apart in air a d carry charges of 3x10^-9 c and 12x10^-9 c respectively.A.,B. the force of balls are touched and then seperate by a distance of 3cm
TO FIND :
calculate the force of attraction between them
SOLUTION :
◆Pith balls are conductors, as soon as they touch each other charges flow and both charges become equal.
◆That is , here charges on both balls are, Q = Qa + Qb /2
= (3 + 12) /2 × 10^-9. = 7.5 ×10^-9
◆Force of attraction ,
F = K QaQb / r^2
K - constant in air , 9×10^9
Q is equal in balls
r distance between them.
◆On substitution,
F = 9×10^9 × 7.5×7.5 ×10^-18 /(3×3×10^-4)
= 506.25 /9 ×10^-5 N
◆F=5.625 ×10^-6 N.
ANSWER :
Force,
F=5.625 ×10^-6 N.
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