Chapter 23: Q. 3 (page 653)
The electric field strength from a very long charged wire is . What is the electric field strength from the wire?
Short Answer
The electric field strength at from the wire is.
Chapter 23: Q. 3 (page 653)
The electric field strength from a very long charged wire is . What is the electric field strength from the wire?
The electric field strength at from the wire is.
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Get started for freeThe permanent electric dipole moment of the water molecule is . What is the maximum possible torque on a water molecule in a electric field?
An electric field can induce an electric dipole in a neutral atom or molecule by pushing the positive and negative charges in opposite directions. The dipole moment of an induced dipole is directly proportional to the electric field. That is, , where is called the polarizability of the molecule. A bigger field stretches the molecule farther and causes a larger dipole moment.
a. What are the units of ?
b. An ion with charge is distancefrom a molecule with polarizability . Find an expression for the force .
An electric dipole is formed from two charges, , spaced apart. The dipole is at the origin, oriented along the y-axis. The electric field strength at the point is .
a. What is the charge q? Give your answer in .
b. What is the electric field strength at the point?
You have a summer intern position with a company that designs and builds nanomachines. An engineer with the company is designing a microscopic oscillator to help keep time, and you’ve been assigned to help him analyze the design. He wants to place a negative charge at the center of a very small, positively charged metal ring. His claim is that the negative charge will undergo simple harmonic motion at a frequency determined by the amount of charge on the ring.
a. Consider a negative charge near the center of a positively charged ring centered on the . Show that there is a restoring force on the charge if it moves along the but stays close to the center of the ring. That is, show there’s a force that tries to keep the charge at . b. Show that for small oscillations, with amplitude , a particle of mass with chargeundergoes simple harmonic motion with frequency ,are the radius and charge of the ring.
c. Evaluate the oscillation frequency for an electron at the center of a diameter ring charged to .
In a classical model of the hydrogen atom, the electron orbits the proton in a circular orbit of radius. What is the orbital frequency? The proton is so much more massive than the electron that you can assume the proton is at rest.
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