Question

1. Bisection 2. False Position 3. Fixed-Point iteration 4. Newton 5. Secant 6. Modified Secant 7. MATLAB fzero 8. Muller 9. MATLAB roots Problem 3: A total charge Q is uniformly distributed around a ringshaped conductor with radius a. A charge q is located at a distance x from the center of the ring (Fig. 2). The force exerted on the charge by the ring is given by \begin{equation} F = \frac{1}{4\pi\epsilon_0} \frac{qQx}{(x^2 + a^2)^{3/2}} \end{equation} where $\epsilon_0 = 8.9 \times 10^{-12} \text{ C}^2/(\text{N m}^2)$. Find the distance x where the force is 1.25 N if q and Q are $2 \times 10^{-5}$ C for a ring with a radius of 0.85 m. You need to run all codes when possible.

          1. Bisection
2. False Position
3. Fixed-Point iteration
4. Newton
5. Secant
6. Modified Secant
7. MATLAB fzero
8. Muller
9. MATLAB roots
Problem 3: A total charge Q is uniformly distributed around a ringshaped
conductor with radius a. A charge q is located at a distance x from the center
of the ring (Fig. 2). The force exerted on the charge by the ring is given by
\begin{equation}
F = \frac{1}{4\pi\epsilon_0} \frac{qQx}{(x^2 + a^2)^{3/2}}
\end{equation}
where $\epsilon_0 = 8.9 \times 10^{-12} \text{ C}^2/(\text{N m}^2)$. Find the distance x where
the force is 1.25 N if q and Q are $2 \times 10^{-5}$ C for a ring with a
radius of 0.85 m.
You need to run all codes when possible.

1. Bisection
2. False Position
3. Fixed-Point iteration
4. Newton
5. Secant
6. Modified Secant
7. MATLAB fzero
8. Muller
9. MATLAB roots
Problem 3: A total charge Q is uniformly distributed around a ringshaped
conductor with radius a. A charge q is located at a distance x from the center
of the ring (Fig. 2). The force exerted on the charge by the ring is given by

F = (1)/(4πϵ0)(qQx)/((x^2 + a^2)^3/2)

where ϵ0 = 8.9 × 10^-12 C^2/(N m^2). Find the distance x where
the force is 1.25 N if q and Q are 2 × 10^-5 C for a ring with a
radius of 0.85 m.
You need to run all codes when possible.

Added by Chelsea L.

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