Three charges are arranged at the corners of an iscoceles triangle with equal sides 5a and unequal side 6a. As shown in the diagram two of the charges have equal charge q, and the third charge has an unknown charge Q. The electric field a distance a above the base of the triangle (as shown) is zero. (a) Find the value of the unknown charge Q. (b) Sketch the electric field lines. Is your sketch consistent with (roughly) the point where the electric field is zero?

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Problem 3 Isoceles Charge
Three charges are arranged at the corners of an iscoceles triangle
with equal sides 5a and unequal side 6a. As shown in the diagram
two of the charges have equal charge q, and the third charge has
an unknown charge Q. The electric field a distance a above the
base of the triangle (as shown) is zero. (a) Find the value of the
unknown charge Q. (b) Sketch the electric field lines. Is your sketch
consistent with (roughly) the point where the electric field is zero?
3a
a
5a
3a
Transcribed Image Text:Problem 3 Isoceles Charge Three charges are arranged at the corners of an iscoceles triangle with equal sides 5a and unequal side 6a. As shown in the diagram two of the charges have equal charge q, and the third charge has an unknown charge Q. The electric field a distance a above the base of the triangle (as shown) is zero. (a) Find the value of the unknown charge Q. (b) Sketch the electric field lines. Is your sketch consistent with (roughly) the point where the electric field is zero? 3a a 5a 3a
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