Question

Two particles are fixed to an x axis: particle 1 of charge q1 = 1.65

Two particles are fixed to an x axis: particle 1 of charge q1 = 1.65

Homework Answers

Answer #1

This can be treated like a point-charge problem, since we are measuring over distances greater than the sphere radii. Then
F1 = -kq1q2/r^2 = 0.107 N, and
F2 = kq3^2/r^2 = 0.107 N, where 2q3 = q1+q2 due to conservation of charge.
Solving for q3,
q3 = sqrt(0.107r^2/k) = 7.8658E-7 C
Then solving for q1 we have
F1 = -kq1(2*7.8658E-7-q1)/r^2 = 0.107 which yields a quadratic
-q1^2 + 2*7.8658E-7q1 + 0.107r^2/k = 0 resulting in
q1 = 2.37293E-6 C and q2 = -7.99772E-7 C, which sum to 2*7.8658E-7 C.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two particles are fixed to an x axis: particle 1 of charge q1 = 3.01 ×...
Two particles are fixed to an x axis: particle 1 of charge q1 = 3.01 × 10-8 C at x = 23.0 cm and particle 2 of charge q2 = -4.00q1 at x = 78.0 cm. At what coordinate on the x axis is the electric field produced by the particles equal to zero?
Two particles are fixed to an x axis: particle 1 of charge q1 = 2.12 ×...
Two particles are fixed to an x axis: particle 1 of charge q1 = 2.12 × 10-8 C at x = 25.0 cm and particle 2 of charge q2 = -4.00q1 at x = 75.0 cm. At what coordinate on the x axis is the electric field produced by the particles equal to zero?
Three particles are fixed on an x axis. Particle 1 of charge q1 is at x...
Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x = +0.334a and (b) x = +2.09a?
Three particles are fixed on an x axis. Particle 1 of charge q1 is at x...
Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x= +0.405a and (b) x = +1.95a?
Three particles are fixed on an x axis. Particle 1 of charge q1 is at x...
Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x = +0.214a and (b) x = +1.38a?
Two particles are fixed on an x axis. Particle 1 of charge 59.1 μC is located...
Two particles are fixed on an x axis. Particle 1 of charge 59.1 μC is located at x = -25.9 cm; particle 2 of charge Q is located at x = 3.92 cm. Particle 3 of charge magnitude 52.5 μC is released from rest on the y axis at y = 25.9 cm. What is the value of Q if the initial acceleration of particle 3 is in the positive direction of (a) the x axis and (b) the y...
Two particles are fixed to an x axis: particle 1 of charge -3.89 × 10-7 C...
Two particles are fixed to an x axis: particle 1 of charge -3.89 × 10-7 C is at the origin and particle 2 of charge +3.89 × 10-7 C is at x2 = 20.7 cm. Midway between the particles, what is the magnitude of the net electric field?
Two point particles are fixed on the x axis. Particle A has a charge of 4uC...
Two point particles are fixed on the x axis. Particle A has a charge of 4uC and is at x = -2cm. Particle B has a charge of 2uC and is found at x = 3cm. A third particle with a 3uC charge is located at (0cm, 2cm). Calculate the net force on the third particle.
Two charged particles are located on the x-axis. The particle with charge q1 = 5.30 µC...
Two charged particles are located on the x-axis. The particle with charge q1 = 5.30 µC is located at x1 = 1.25 cm and the particle with charge q2 = −2.46 µC is located at x2 = −1.80 cm. (a) Determine the total electric potential (in V) at the origin. V (b) Determine the total electric potential (in V) at the point with coordinates (0, 1.50 cm). V
In the figure particles 1 and 2 are fixed in place on an x axis, at...
In the figure particles 1 and 2 are fixed in place on an x axis, at a separation of L = 6.50 cm. Their charges are q1 = +e and q2 = -64e. Particle 3 with charge q3 = +5e is to be placed on the line between particles 1 and 2, so that they produce a net electrostatic force F3 net on it. (a) At what coordinate should particle 3 be placed to minimize the magnitude of that force?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT