A point charge q 1 = 3.05nC is located on the x -axis at x = 1.95m , and a secon

ID: 1317225 • Letter: A

Question

A point charge q1 = 3.05nC is located on the x-axis at x = 1.95m , and a second point charge q2= -6.45nC is on the y-axis at y = 1.05m .

Part A :-

What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with radius r1 = 0.760m ?

Part B :-

What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with radius r2 = 1.50m ?

Part C :-

What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with radius r3 = 2.60m ?

draw the diagram such that q1 is placed along x-axis

q2 is placed along y- axis

q1 is at 1.95m from origin along x-axis q1 = 3.05nC

q2 is at 1.05 m along y -axis q2= -6.45nC

PART A)

drawing spherical surface with r1=0.76m

which is less than distance from two charges

basic defination of flux is enclosing charge

in this case spherical surface is not enclosing charge

so FLUX=0

PART B)

draw the spherical surface with radius r2=1.5m

observe the diagram it is enclosing

q2 is at 1.05 m along y -axis q2= -6.45nC

but it is not enclosing q1 because 1.5m<1.95m

FLUX=729 wb

PARTC)

draw the spherical surface with radius r2=2.6m

observe the diagram it is enclosing

q1 is at 1.95m from origin along x-axis( q1 = 3.05nC)

q2 is at 1.05 m along y -axis (q2= -6.45nC)

FLUX=(q1+q2)/epsilon

=384.6wb

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