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ID: A Electrontatic Experiment and Graph Straightening n a Codlomb-cype experime

ID: 1418692 • Letter: I

Question

ID: A Electrontatic Experiment and Graph Straightening n a Codlomb-cype experiment, tudents investigated the relationship between the force of electrostatic repulsion, F.ting on swo similarty charged sphees. Q, and Q and their separation distance, , as described by the riedy the eqatTe tolowing are the results of their experiment Separation Distance Magnitude of the Force of Repulsion 1.00 2.00 3.00 4.00 5.00 F..N 89.90 22 50 9.99 5.62 3.60 After manipulating the a in the table, in the phical procedure of graph straightening, the students obtained the following table and corresponding graph lnverse of Separation Distance Squared Magnitade of the Force of Repulsion F.00 1000 25.0 11.I 8990 22 50 9.99 5.62 3.60 4.00 Coulomb-Type Experiment 100 50 0 5000 10000 15000 Inverse of Separation Distance Squared -7. Based 7. Based on the above electrostatic experiment results, the slope of the graph represents

Explanation / Answer

8) charge on each sphere , Q1 = Q2 = Q

F = k*Q1*Q2 / r2   -----------------------------1

Q*Q = F*r2 / k

= 89.90 *( 1*10-2)2 / 8.99*109 = 1*10-12

Q = 1*10-6 C ( ans c)

[ you can take any value of F and r from table]

7) slope = tan(theta) = y/ x

from graph, slope = F / ( 1/r2)

= F*r2

from eq 1, slope = k*Q1*Q2 ( ans d)