Calculate the magnitude of the total electric force

Reference no: EM13797282

1. Three charges lie on the x-axis as shown. q₁ = -3.0 x 10^-6 C located at the origin, q₂ = +4.5 x 10^-6 C at x₂ = 0.090 m, and q₃ = +2.5 x 10^-6 C at x₃ = 0.03 m.

Calculate the magnitude of the total electric force on q₃ due to the other two charges.

What is the direction of the total electric force on q₃?

Calculate the magnitude of the electric field at the location x = 0.10 m.

What is the direction of the electric field at the location x = 0.10 m?

2. Three charges lie on the x-axis as shown. q₁ = -3.0 x 10^-6 C located at the origin, q₂ = +4.5 x 10^-6 C at x₂ = 0.090 m, and q₃ = +2.5 x 10^-6 C at x₃ = 0.03 m.

How much work is required to assemble the system? (Hint: what is the total potential energy of the system?)

What is the total electrical potential at the location x₂ = 0.090 m?

If q₁ and q₃ are held at rest and q₂ is released from rest, what will be the kinetic energy of q₂when it is infinitely far away?

3. Consider the circuit. ε₁= 15 V, ε₂ = 12 V, R₁ = 8.0 Ω, R₂ = 12 Ω, R₃ = 12 Ω.

Write the equation from the junction rule at junction A.

Write the equation from the loop rule for the clockwise loop A to B to C to D and back to A.

Write the equation from the loop rule for the clockwise loop A to D to E to F and back to A.

What is the potential difference from point B to point E?

[Bonus] Find the current I₁.

[Bonus] Find the current I₂.

[Bonus] Find the current I₃.

4. Consider the figure below.

Find the equivalent resistance between points A and B. (Hint: Reduce the circuit to a single resistor, but do it in three steps).

If points A and B are connected to the terminals of a 12-V battery, what is the magnitude of the current through the battery?

5. The circuit below has two capacitors, three resistors, a battery and two switches. The switches, S₁ and S₂, have been open for a long time and the capacitors are uncharged. At time t = 0 both switches are closed. 1 μF = 10^-6 F.

Immediately after both switches are closed, what is the current I₂?

After the switches have been closed for a very long time, what is the current I₁?

After the switches have been closed for a very long time, what is the total energy, U, stored in the capacitors C₁ and C₂?

After the switches have been closed for a very long time, at time T both switches are opened. Explain what happens next.

Reference no: EM13797282

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