for charge 3 net Learning Goal 2on3! To practice Problem-Solving Strategy 22.1 f

Question

for charge 3 net Learning Goal 2on3! To practice Problem-Solving Strategy 22.1 for electric force problems 92 Two charged particles, with charges q1q and q2 4q, are located on the x axis separated by a distance of 2.00 cm .A third charged particle, with charge q3q, is placed on the x axis such that the magnitude of the force that charge 1 exerts on charge 3 is equal to the force that charge 2 exerts on charge 3 net Find the position of charge 3 when q-2.00 nC Solve Part C Assuming charge 1 is located at the origin of the xaxis and the positive x axis points to the right, find the two possible values T3 (the position of charge 3 to the right of charge 1) and T31 (the position of charge 3 to the left of charge 1) Express your answers in centimeters to three significant figures, separated by a comma. View Available Hint(s) cm. cim

Explanation / Answer

the equal forces are here is

F13 = F32

the equations are substituting in the equation

k q1q3 / X3,x2 = k q2q3 / ( d - X3,x )2

here q1 = q and q3 = q

next q2= 4 q and q3 = q

k X q X q / X3,x2 = k X 4q X q / ( d - X3,x )2

( d - X3,x )2 / X3,x2 = 4

2 - X3,x / X3,x = 2

3 X3,x = 2

X3,x = 0.67 cm

and

again same way as above

F13 = F32

k q1q3 / X3,12 = k q2q3 / ( d + X3,1 )2

here q1 = q and q3 = q

next q2= 4 q and q3 = q

( d + X3,1 )2 / X3,12 = 4

( 2 + X3,1 )2 / X3,12 = 4

( 2 + X3,1 ) / X3,1 = 2

2 / X3,1 + 1 = 2

2 / X3,1 = 1

X3,1 = 2 cm

so the answer is X3,x , X3,x = 0.67 , 2 cm , cm

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