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- What is the electric field of a proton at the first Bohr orbit for hydrogen (r=5.291011m) ? What is the force on the electron in that orbit?The electric field in a particular thundercloud is 2.0105N/C . What is the acceleration of an electron in this field?Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?
- What is the electric field at the midpoint M of the hypotenuse of the triangle shown below?An infinite charged wire with charge per unit length lies along the central axis of a cylindrical surface of radius r and length l. What is the flux through the surface due to the electric field of the charged wire?Suppose that the charge density of the spherical chargedistribution shown in Figure 6.23 is p(r)=p0r/R for rR and zero for rR . Obtain expressions for theelectric field both inside and outside the distribution.
- A particle of charge q and mass m is placed at the center of a uniformly charged ring of total charge Q and radius R. The particle is displaced a small distance along the axis perpendicular to the plane of the ring and released. Assuming that the particle is constrained to move along the axis, show that the particle oscillates in simple harmonic motion with a frequency f=12qQ40mR3.Charge is distributed uniformly with a density p throughout an infinitely long cylindrical volume of radius R. Show that the field of this charge distribution is directed radially with respect to the cylinder and that E=pr20 (rR); E=pR220r (rR).A proton enters the uniform electric field produced by the two charged plates shown below. The magnitude of the electric field is 4.0105 N/C, and the speed of the proton when it enters is 1.5107 m/s. What distance d has the proton been deflected downward when it leaves the plates ?
- (a) What is the electric field of an oxygen nucleus at a point that is 1010 m from the nucleus? (b) What is the force this electric field exerts on a second oxygen nucleus placed at that point?Two fields distribution are given below; pcos 0 (a) V =- 47E, R? and (b) A =â„3cos q+2,R² sin 0– â̟ cos? 0 Proof null identity, from each of the given fields in Spherical coordinate system.ex: Two identical bedds each have dmass (m) dnd Charge ca). They placed inahemispherical bouwL of Yadius (R) ds shown in fiqure(1) suppose The bowL walls are frictionless and non- Conducting Than, the bedds will move, and dt equilibriums They became adistance (d) a part. Determine The charge (a) on edch bedd. mY+ Figure(L)