The charges and coordinates of two charged particles held fixed in an xy plane are 91=2.47 μC, x₁ = 5.30 cm, y₁ = 0.395 cm and q2 = -5.24 µC, x2 = -2.63 cm, y2 = 1.28 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°; 180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 3.65 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number (b) Number i 0.0216 (c) Number i (d) Number i Units Units Units Units
The charges and coordinates of two charged particles held fixed in an xy plane are 91=2.47 μC, x₁ = 5.30 cm, y₁ = 0.395 cm and q2 = -5.24 µC, x2 = -2.63 cm, y2 = 1.28 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°; 180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 3.65 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number (b) Number i 0.0216 (c) Number i (d) Number i Units Units Units Units
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![The charges and coordinates of two charged particles held fixed in an xy plane are
91=2.47 μC, x₁ = 5.30 cm, y₁ = 0.395 cm and q2 = -5.24 µC, x2 = -2.63 cm, y2 = 1.28 cm. Find the (a)
magnitude and (b) direction (with respect to +x-axis in the range (-180°; 180°]) of the electrostatic
force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of
charge q3 = 3.65 µC be placed such that the net electrostatic force on particle 2 due to particles 1
and 3 is zero?
(a) Number
(b) Number
(c) Number
(d) Number
i 0.0216
i
Units.
Units
Units
Units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb5fc8bb-c5ed-4c1c-8fd1-7dec9314987e%2F64a7369c-d063-408d-be39-da775681d9b0%2Ft8suam_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The charges and coordinates of two charged particles held fixed in an xy plane are
91=2.47 μC, x₁ = 5.30 cm, y₁ = 0.395 cm and q2 = -5.24 µC, x2 = -2.63 cm, y2 = 1.28 cm. Find the (a)
magnitude and (b) direction (with respect to +x-axis in the range (-180°; 180°]) of the electrostatic
force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of
charge q3 = 3.65 µC be placed such that the net electrostatic force on particle 2 due to particles 1
and 3 is zero?
(a) Number
(b) Number
(c) Number
(d) Number
i 0.0216
i
Units.
Units
Units
Units
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Step 1: Define Coulomb's law of electrostatic forces:
VIEWStep 2: Write the given quantities. Find the position vector and its magnitude:
VIEWStep 3: Calculate the force acting on particle 2 due to particle 1:
VIEWStep 4: Calculate the magnitude of the force on particle 2 due to particle 1:
VIEWStep 5: Determine the direction of the net force with respect to positive x-axis:
VIEWStep 6: Calculate the magnitude and direction of the net force on charge 2 due to charge 3.
VIEWStep 7: Calculate the distance between particle 1 and particle 2:
VIEWStep 8: Calculate the x-coordinate of the particle 3.
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