Position Electric
What are the strength and direction of the electric field at the position indicated by the dot in the figure?
Add http://session.masteringphysics.com/problemAsset/1071380/4/27.P30.jpg your answer as components. Suppose that x-axis is horisontal and pointing to the right, and the y axis points upwards Write response amplitude and angle measured from the positive x-axis cw Express your answer using two significant figures degress clockwise from positive x-axis
Here are the different electric fields in the vector notation: | | E (1) | | = kq ^ r / 2 = (8.99e9 N * m ^ 2 ^ C / 2) (10e-9 C) / (3.0e-2 m) ^ 2 = 1.0e5 N / EC (1) = <0, 1.0 e5> | | E (2) | | = (8.99e9 N * m ^ 2 ^ C / 2) (5.0E-9 C) / (5.0E-2 m) ^ 2 = 1.8e4 N / EC (2) = <-1.8e4, 0> r = sqr (3 ^ 2 + 5 ^ 2) = 5.83 cm | | E (3) | | = (8.99e9 N * m ^ 2 ^ C / 2) (10e-9 C) / (5.83e- 2 m) ^ 2 = 2.6e4 N / C θ = arctan (3 / 5) = 30.96 ° C (measured counterclockwise from + x axis) E (3) = <-2.6e4cos 30.96 ° - 30.96 2.6e4sin °> = <-2.3e4, -1.4e4> Here the total electric field E = E (1) + E (2) + E (3) = <-4.1e4, 8.6e4> | | E | | = sqr ((-4.1e4) ^ 2 + (8.6e4 ) ^ 2) = 9.5e4 N / C θ = 180 ° + arctan (8.6e4/4.1e4) = 244.5 ° C (measured clockwise from + x axis)
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