The electric field on the axis of a ring of charge near its center( which is located at z=0) is given by E(z)= ((kQ)/(R^3)) z. The ring has a radius R=5 and total charge of Q= 1 uC
1. A charged particle (m = 1 mg, q = –1 nC) is placed near the center of the ring. Write down and expression for the force F(z) that acts on the particle, in terms of kC, Q, q, R and z.
2. Substitute in values for kC, Q, q, and R to find the effective spring constant for this particle near the ring.
3. If the particle is released, it will oscillate around z = 0. What will be the frequency of oscillation?
The electric field on the axis of a ring of charge near its center( which is located at z=0) is g...
a) Find electric field at origin (0,0) due to a negative charge q-2 nC located at position (0, 3m) and a nc charged spherical shell with diameter of 2 m, centered at (4m, 0), carrying positive charge q2 +7.1 If charged particle with mass m-2 mg and carrying charge Q=-4.47 μС ¡s placed at the origin and released, what will be the magnitude and direction of its initial instantaneous acceleration? b) y(m) 42 x(m) -2 1 -1 -2 a) Find...
Please help !!! Calculate the magnitude of the flux of a constant electric field of 5.0 NC in the z -direction through a rectangle with area 4.0 m2 in the xy plane. a. 0 b. 5.0 N-m2/C c. 10.0 N-m2/C d. 20.0 N-m/C 10. 11. A circular ring of charge of radius b has a total charge q uniformly distributed around it. The electric field at the center of the ring is a. 0 12. A solid spherical conductor has...
A ring that has radius a lies in the z 0 plane with its center at the origin. The ring is uniformly charged and has a total charge Q (a) Find Ez on the z axis at 0.1a. 2 (b) Find Ez on the z axis at 0.4a. kQ (c) Find Ez on the z axis at 0.7a. ko (d) Find Ez on the z axis at a. ko (e) Find Ez on the z axis at 1.6a kQ. 2...
A ring that has radius a lies in the z 0 plane with its center at the origin. The ring is unifo rmly charged and has a total charge Q (a) Find Ez on the z axis at 0.1a. ko (b) Find Ez on the z axis at 0.6a a2 (c) Find E, on the z axis at 0.8a kQ (d) Find Ez on the z axis at a a2 (e) Find E on the z axis at 2.1a. kQ...
2. Figure shows a ring of radius R 4m and a point particle located at the center of the ring. Point P is on the central z axis, at distance z 3 m above the ring. The ring is charged with the uniform linear charge density of 1 10 C/m. What is the charge of the point particle, Q, if the net electrical field at point P is zero? -3 m R-4 m
UN uniform ombs and ane, center A uniform circular ring of charge Q= 4.30 microCoulombs and radius R= 1.10 cm is located in the x-y plane, centered on the origin as shown in the figure. What is the magnitude of the electric field E at point P, located at z= 3.90 cm? Submit Answer Tries 0/40 Consider other locations along the positive z-axis. At what value of z does E have its maximum value? Submit Answer Tries 0/40 What is...
strie field associated with charge distributed evenly ell located at its center. Furthermore, the 1. The Shl There is a statement about the electric field associated with charge din over a spherical shell. The theorem states that at all lehall The theorem states that at all points outside the shell the electric field as that of a main charge containing all the charge on the shell located at its center the them states that the electric field inside the shell...
3 points) An electron is constrained to move along the central axis of a ring of radius R which is uniformly charged with total positive charge Q (a) Show that if the electron is near the centre of the ring (a small distance compared to R), it will experience a force of the form Fz--kz (where z is the distance from the centre of ring) (b) Since this force will make the electron follow simple harmonic oscillation, derive a formula...
1. In lecture, we derived the electric field a height z above the center of a thin ring of charge with constant charge per unit length λ. Let's assumie here that λ > 0. Suppose a negative point charge q with mass m s placed a very small distance above the center of the ring. Show that the point charge undergoes simple harmonic motion and find the frequency of small oscillations. Hint: show that near the center of the ring...
1. In lecture, we derived the electric field a height z above the center of a thin ring of charge with constant charge per unit length λ Let's assume here that λ > 0. Suppose a negative point charge-q with mass m is placed a very small distance above the center of the ring. Show that the point charge undergoes simple harmonic motion and find the frequency of small oscillations. Hint: show that near the center of the ring the...