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Lena Carling
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< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >
Three point charges are located at the corners of an equilateral triangle as Q1 in the top, charge Q2 in the left corner and charge Q3 in teh right corner. Each leg of the triangle has a length of 2.03 meters. And the charges have values as follows. Q1 = 4.07 microcoulombs, Q2 = - 7.7 microcoulombs, and Q3 = -6.93 microcoulombs. Calculate the net electric force (both magnitude and direction) exerted on Q1, Q2,Q3.
I was tryting to solve these problem, but did not get proper result.
My solution:
1) For Q1 and Q2 have attrative Forces as Q1 and Q3 , for Q2 and Q3 Forces are repulsive.
2) F1net for Q1:
F1,2 = kQ1Q2/d^2, so F1,2x=-(kQ1Q2/d^2)xcos60; F1,2y= -(kQ1Q2/d^2)xsin60
F1,3 = kQ1Q3/d^2, so F1,3x=(kQ1Q3/d^2)xcos60; F1,3y= -(kQ1Q3/d^2)xsin60
F1x= -(kQ1Q2/d^2)xcos60+(kQ1Q3/d^2)xcos60
F1y= -(kQ1Q2/d^2)xsin60 +kQ1Q3/d^2)xsin60)
I got F1net=square root of ((F1x^2 )+(F1y^2))
But F1x are equal 0 or not? They do not have the same magnitude, but I solve for both cases equal 0 and not, but finally did not get corret answer for F1net magnitude and direction.
3) F2 net for Q2:
F2,1=kQ2Q1/d^2, so F2,1x=kQ2,Q1/d^2xcos60; F2,1y= (kQ2,Q1/d^2)xsin60
F2,3=kQ2Q3/d^2, so F2,3x=-kQ2Q2/d^2; F2,3y=0
F2x=kQ2Q1/d^2xcos60+(-kQ2,3Q2/d^2)
F2y=(kQ2,3Q1/d^2)xsin60
F2net=square root of ((F2x^2 )+(F2y^2))
I and did not get correct answer after calculation for magnitude and direction for F2net.
4) F3 net for Q3:
F3,1=kQ3Q1/d^2, so F3,1x= -kQ3Q1/d^2xcos60; F3,1y=(kQ2,3Q1/d^2)xsin 60
F3,2= kQ3Q2/d^2, so F3,2x=kQ3,2/d^2; F3,2y=0
F3x=-kQ3Q1/d^2xcos60+F3,2x=kQ3,2/d^2
F3y=kQ3,2/d^2
F3net=square root of ((F3x)^2+(F3y)^2)
I did not get right answer after calculation of net F3 and direction too.
I feel that I put correct vectors for x and y for the Forces for all 3 charges, only not sure just about F1x. Please, help me to get right answer, maybe I got mistake in calculations? Thanks. Due is Feb. 25, 2015.
Three point charges are located at the corners of an equilateral triangle as Q1 in the top, charge Q2 in the left corner and charge Q3 in teh right corner. Each leg of the triangle has a length of 2.03 meters. And the charges have values as follows. Q1 = 4.07 microcoulombs, Q2 = - 7.7 microcoulombs, and Q3 = -6.93 microcoulombs. Calculate the net electric force (both magnitude and direction) exerted on Q1, Q2,Q3.
I was tryting to solve these problem, but did not get proper result.
My solution:
1) For Q1 and Q2 have attrative Forces as Q1 and Q3 , for Q2 and Q3 Forces are repulsive.
2) F1net for Q1:
F1,2 = kQ1Q2/d^2, so F1,2x=-(kQ1Q2/d^2)xcos60; F1,2y= -(kQ1Q2/d^2)xsin60
F1,3 = kQ1Q3/d^2, so F1,3x=(kQ1Q3/d^2)xcos60; F1,3y= -(kQ1Q3/d^2)xsin60
F1x= -(kQ1Q2/d^2)xcos60+(kQ1Q3/d^2)xcos60
F1y= -(kQ1Q2/d^2)xsin60 +kQ1Q3/d^2)xsin60)
I got F1net=square root of ((F1x^2 )+(F1y^2))
But F1x are equal 0 or not? They do not have the same magnitude, but I solve for both cases equal 0 and not, but finally did not get corret answer for F1net magnitude and direction.
3) F2 net for Q2:
F2,1=kQ2Q1/d^2, so F2,1x=kQ2,Q1/d^2xcos60; F2,1y= (kQ2,Q1/d^2)xsin60
F2,3=kQ2Q3/d^2, so F2,3x=-kQ2Q2/d^2; F2,3y=0
F2x=kQ2Q1/d^2xcos60+(-kQ2,3Q2/d^2)
F2y=(kQ2,3Q1/d^2)xsin60
F2net=square root of ((F2x^2 )+(F2y^2))
I and did not get correct answer after calculation for magnitude and direction for F2net.
4) F3 net for Q3:
F3,1=kQ3Q1/d^2, so F3,1x= -kQ3Q1/d^2xcos60; F3,1y=(kQ2,3Q1/d^2)xsin 60
F3,2= kQ3Q2/d^2, so F3,2x=kQ3,2/d^2; F3,2y=0
F3x=-kQ3Q1/d^2xcos60+F3,2x=kQ3,2/d^2
F3y=kQ3,2/d^2
F3net=square root of ((F3x)^2+(F3y)^2)
I did not get right answer after calculation of net F3 and direction too.
I feel that I put correct vectors for x and y for the Forces for all 3 charges, only not sure just about F1x. Please, help me to get right answer, maybe I got mistake in calculations? Thanks. Due is Feb. 25, 2015.
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