15.1-15.3 wksht 2010-2011
TRANSCRIPT
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IB PHYSICS SL GOHS
15.1-15.3 Worksheet: Coulombs Law
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9. Two identical conducting spheres are placed with their centers 0.30 mapart. One is given a charge of 12 10 9 C, the other a charge of 18 10 9
C. (a) Find the electrostatic force exerted on one sphere by the other. (b) Thespheres are connected by a conducting wire. Find the electrostatic forcebetween the two after equilibrium is reached. (2.2x10 -5 N;
9.0x10 -7 N)10. Calculate the magnitude anddirection of the Coulomb force on each
of the three charges shown to the right.(46.7 N; 157 N; 111 N)13. Three point charges are located at the corners of anequilateral triangle as in the figure to the left. Calculatethe net electric force on the 7.00- C charge. (0.872 N 30 o
below the + x -axis)
2. Conducting shoes are worn toavoid the build up of a staticcharge on them as the wearer
walks. Rubber soled shoes acquirea charge by friction with the floorand could discharge with a spark,possibly causing an explosiveburning situation, where theburning is enhanced by theoxygen.
4. Electrons are more mobile thanprotons and are more easily freedfrom atoms than are protons.
6. No. Object A might have a charge
opposite in sign to that of B,but it also might be neutral. In thislatter case, object B causesobject A to be polarized, pullingcharge of one sign to the nearface of A and pushing an equalamount of charge of theopposite sign to the far face. Thenthe force of attractionexerted by B on the inducedcharge on the near side of A isslightly larger than the force of
repulsion exerted by B on theinduced charge on the far side of A. Therefore, the net force
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ANSWERS
15.9 (a) The spherically symmetric charge distributions behave as if all charge waslocated at the centers of the spheres. Therefore, the magnitude of the
attractive force is
( ) ( )( )
9 921 2 9 5
22 2
12 10 C 18 10 CN m8.99 10 2.2 10 NC 0.30 m
ek q qFr
= = =
(b) When the spheres are connected by a conducting wire, the net charge9
1 2 6.0 10 Cnetq q q= + = will divide equally between the two identical
spheres. Thus, the force is now
( ) ( )
( )
22 929
22 2
6.0 10 C2 N m8.99 10C 4 0.30 m
e netk qFr
= =
or79.0 10 N (repulsion)F =
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