Two charge of opposite nature are placed at some distance. If the force of attraction between them is 0.108N.After connecting two charge with a wire the force of repulsion becomes 0.036N.If the seperation between charge in both case is 50cm.Find the initial charge value?
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Answer:
Let initial charge be Q1 and Q2.
Initial force =F=
r
2
K×Q1×Q2
=−0.108
F=
0.25
9×10
9
×Q1×Q2
=−0.108
Q1.Q2=−3×10
−12
Now on connecting them, since they are identical so they will have equal charges.
Final charge =
2
Q1+Q2
Final force =F=
4×0.25
9×10
9
×(Q1+Q2)
2
=0.036
Q1+Q2=±2×10
−6
Q2=±1.0×10
−6
C,Q1=∓3.0×10
−6
C
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