7-3 Work Done by a Varying Force Work done by a spring force
... (II) The force needed to hold a particular spring compressed an amount x from its normal length is given by kx+ax3+bx4 . How much work must be done to compress it by an amount X, starting from X = 0. ...
... (II) The force needed to hold a particular spring compressed an amount x from its normal length is given by kx+ax3+bx4 . How much work must be done to compress it by an amount X, starting from X = 0. ...
posted
... (c) This is inside the sphere. The potential has the same value as at the surface, 131 V. EVALUATE: All points of a conductor are at the same potential. (a) IDENTIFY and SET UP: The electric field on the ring’s axis is calculated in Example 21.9. The force on the electron exerted by this field is gi ...
... (c) This is inside the sphere. The potential has the same value as at the surface, 131 V. EVALUATE: All points of a conductor are at the same potential. (a) IDENTIFY and SET UP: The electric field on the ring’s axis is calculated in Example 21.9. The force on the electron exerted by this field is gi ...
36 POINTS - University at Albany
... (a.) Demonstrate that the radial wavefunction for the M shell (hint: convert that to n) and d subshell is normalized. (2 points) (b.) What are all of the possible values of the quantum numbers (n, l, ml, ms) for this state? How many different possible states total are thus represented here? (2 point ...
... (a.) Demonstrate that the radial wavefunction for the M shell (hint: convert that to n) and d subshell is normalized. (2 points) (b.) What are all of the possible values of the quantum numbers (n, l, ml, ms) for this state? How many different possible states total are thus represented here? (2 point ...
Capacitor, capacitance, energy stored
... (b) What is the maximum charge stored? (c) What is the maximum energy stored? (d) If the separation is increased, state whether the maximum voltage, maximum charge, and maximum energy increase, decrease, or stay the same. 2. (15 points) Capacitor and dielectric materials Suppose the capacitor of Q.1 ...
... (b) What is the maximum charge stored? (c) What is the maximum energy stored? (d) If the separation is increased, state whether the maximum voltage, maximum charge, and maximum energy increase, decrease, or stay the same. 2. (15 points) Capacitor and dielectric materials Suppose the capacitor of Q.1 ...
Document
... produces a torque on the molecules The molecules partially align with the electric field The degree of alignment of the molecules with the field depends inversely upon temperature and directly with the magnitude of the field The degree of alignment of the molecules with the field depends on the pola ...
... produces a torque on the molecules The molecules partially align with the electric field The degree of alignment of the molecules with the field depends inversely upon temperature and directly with the magnitude of the field The degree of alignment of the molecules with the field depends on the pola ...
Title of PAPER - Department of Physics and Astronomy
... made of lodestone even with large quantities. Revisiting equation 1 is can also be seen that in order for this to work, the iron plates would have to have a surface area (perpendicular to the field) of approximately 9.2m2 which would be onerously impractical. It is however entirely possible to do th ...
... made of lodestone even with large quantities. Revisiting equation 1 is can also be seen that in order for this to work, the iron plates would have to have a surface area (perpendicular to the field) of approximately 9.2m2 which would be onerously impractical. It is however entirely possible to do th ...
Casimir effect
In quantum field theory, the Casimir effect and the Casimir–Polder force are physical forces arising from a quantized field. They are named after the Dutch physicist Hendrik Casimir.The typical example is of two uncharged metallic plates in a vacuum, placed a few nanometers apart. In a classical description, the lack of an external field means that there is no field between the plates, and no force would be measured between them. When this field is instead studied using the QED vacuum of quantum electrodynamics, it is seen that the plates do affect the virtual photons which constitute the field, and generate a net force—either an attraction or a repulsion depending on the specific arrangement of the two plates. Although the Casimir effect can be expressed in terms of virtual particles interacting with the objects, it is best described and more easily calculated in terms of the zero-point energy of a quantized field in the intervening space between the objects. This force has been measured and is a striking example of an effect captured formally by second quantization. However, the treatment of boundary conditions in these calculations has led to some controversy.In fact, ""Casimir's original goal was to compute the van der Waals force between polarizable molecules"" of the metallic plates. Thus it can be interpreted without any reference to the zero-point energy (vacuum energy) of quantum fields.Dutch physicists Hendrik B. G. Casimir and Dirk Polder at Philips Research Labs proposed the existence of a force between two polarizable atoms and between such an atom and a conducting plate in 1947, and, after a conversation with Niels Bohr who suggested it had something to do with zero-point energy, Casimir alone formulated the theory predicting a force between neutral conducting plates in 1948; the former is called the Casimir–Polder force while the latter is the Casimir effect in the narrow sense. Predictions of the force were later extended to finite-conductivity metals and dielectrics by Lifshitz and his students, and recent calculations have considered more general geometries. It was not until 1997, however, that a direct experiment, by S. Lamoreaux, described above, quantitatively measured the force (to within 15% of the value predicted by the theory), although previous work [e.g. van Blockland and Overbeek (1978)] had observed the force qualitatively, and indirect validation of the predicted Casimir energy had been made by measuring the thickness of liquid helium films by Sabisky and Anderson in 1972. Subsequent experiments approach an accuracy of a few percent.Because the strength of the force falls off rapidly with distance, it is measurable only when the distance between the objects is extremely small. On a submicron scale, this force becomes so strong that it becomes the dominant force between uncharged conductors. In fact, at separations of 10 nm—about 100 times the typical size of an atom—the Casimir effect produces the equivalent of about 1 atmosphere of pressure (the precise value depending on surface geometry and other factors).In modern theoretical physics, the Casimir effect plays an important role in the chiral bag model of the nucleon; in applied physics, it is significant in some aspects of emerging microtechnologies and nanotechnologies.Any medium supporting oscillations has an analogue of the Casimir effect. For example, beads on a string as well as plates submerged in noisy water or gas illustrate the Casimir force.