Question

Chapter 15, Problem 10 l Your answer is partially correct. Try again Two tiny conducting spheres are identical and carry charges of -19.7 C and +68 4HC They are separated by a distance of 241 cm. (a) what is the magnitude of t each sphere experiences? (b) The spheres are brought into contact and then separated to a distance of 2.41 cm, Determine the magnitude of the force that each sphere now experiences (a) N (b) Number

Answer 1

Case 1

$q_{1}=-19.7\mu C=-1.97*10^{-5}C$

$q_{2}=68.4\mu C=6.84*10^{-5}C$

$d=2.41cm=0.0241m$

$F=kq_{1}q_{2}/d^{2}$

$F=9*10^{9}*1.97*10^{-5}C*6.84*10^{-5}C/(0.0241m)^{2}$

$F=9*10^{9}*1.97*10^{-5}*6.84*10^{-5}/0.0241^{2}$

$F=12.127/0.0241^{2}$

ANSWER: ${\color{Red} F=20880N}$ (attractive)

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When the spheres are brought in contact ,the charges equalizes

$68.4-19.7 =48.7$

this charge will be equally distributed

$q_{1}=q_{2}=24.35\mu C=2.435*10^{-5}C$

$d=2.41cm=0.0241m$

$F=kq_{1}q_{2}/d^{2}$

$F=9*10^{9}*2.435*10^{-5}C*2.435*10^{-5}C/(0.0241m)^{2}$

$F=9*10^{9}*2.435*10^{-5}*2.435*10^{-5}/0.0241^{2}$

$F=5.336/0.0241^{2}$

ANSWER: ${\color{Red} F=9187.69N}$ (repulsive)

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