Two charged particles are held in place in the x-y plane. Particle 1 has charge q₁ = 3µC and is in the location (x₁ = 2 cm, y₁ = 4.3 cm) and particle 2 has a charge of q₂ = -4µC and is at the location (x₂ = -1.8 cm, y₂ = 0.4 cm). a. Draw the location of each of these charges and draw the vector r12 pointing from particle 1 to particle 2. A Find the unit vector r (i.e. in terms of î & ĵ). 12 b. c. Find the electrostatic force on particle 2 due to particle 1 in unit vector notation. d. Where would you need to place a third particle with charge q3 = 1.2µC in order for the

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Chapter1: Units, Trigonometry. And Vectors
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Two charged particles are held in place in the x-y plane. Particle 1 has charge q₁ = 3µC and is
in the location (x₁ = 2 cm, y₁ = 4.3 cm) and particle 2 has a charge of q₂ = −4µC and is at the
location (x₂ = −1.8 cm, y₂
0.4 cm).
=
12
a. Draw the location of each of these charges and draw the vector r₁2 pointing from
particle 1 to particle 2.
A
Find the unit vector r (i.e. in terms of î & ĵ).
12
b.
c. Find the electrostatic force on particle 2 due to particle 1 in unit vector notation.
d. Where would you need to place a third particle with charge q3 = 1.2µC in order for the
total force on particle 2 due to q₁ and q3 to equal zero?
Transcribed Image Text:Two charged particles are held in place in the x-y plane. Particle 1 has charge q₁ = 3µC and is in the location (x₁ = 2 cm, y₁ = 4.3 cm) and particle 2 has a charge of q₂ = −4µC and is at the location (x₂ = −1.8 cm, y₂ 0.4 cm). = 12 a. Draw the location of each of these charges and draw the vector r₁2 pointing from particle 1 to particle 2. A Find the unit vector r (i.e. in terms of î & ĵ). 12 b. c. Find the electrostatic force on particle 2 due to particle 1 in unit vector notation. d. Where would you need to place a third particle with charge q3 = 1.2µC in order for the total force on particle 2 due to q₁ and q3 to equal zero?
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