Chapter 17 Flashcards
When a battery is connected to a capacitor why do the tow plates acquire charges of the same magnitude, will this be true if the two plates are different sizes or shapes
The two plates will have equal and opposite charges since energy and charge are conserved through conservation of energy and electric charge. When one plate loses electric it becomes positive charges and the other plate gains that same number of electrons. Charge will flow until the capacitor is full
A conducting sphere carries a charge Q and a second identical conducting sphere is neutral. The two are initially isolated, but then they are placed in contact. What can you say about the potential of each when they are in contacts, will the charge flow from one to the other, if so how much
They will have the same voltage (potential) bc they are in contacts and the surface is take to be the same potential. Since they are the same size they will each have half the original charge but the total charge must remain the same
The parallel plates of an isolated capacitor carry opposite charges Q. If the separation of the plates increases is a force required to do so, is the potential difference changed, what happens to the world done in the pulling process
A force is required to increase the separation of the plates bc you are pulling a positive plate away from a negative plate. The work done in increasing this separation goes into increasing the electric potential energy stored between the plates, the capacitance decreases and the potential voltage between the plates increases since the charge Q must remain constant (assume you can mechanically do this)
If the electric field E is uniform in region what can you infer about the electric potential V. If V is uniform in a region of space what can you infer about E… DIAGRAM
The potential voltage is either increasing or decreasing uniformly depending on the charge, it could be uniform or zero
Is the electric potential energy of two isolated unlike charges positive or negative. What’s about two like charges. What is the significance of the sign of the potential energy in each case
The electric potential energy of the unlike opposite charges I negative if we take the zero location for potential energy to be when the charges are infinitely far apart. The electric potential energy of two like charges is positive. In the case of opposite charges, work must be done to separate the charges. In the case of the same charges work must be done to separate charges. Work must be done to try to move the charges together (think of two strong magnets)
If the voltage across a fixed capacitor is doubled the amount of energy it stores doubles, halved, quadruples, unaffected, none of these explain which one it is
Quadrupled because voltage is squared in formula so double it and it is quadrupled. If you double the voltage you will have 4 times the energy stored
How does the energy stored in a capacitor change when a dielectric is inserted if the capacitor is isolated so Q doesn’t change, the capacitor remains connected to a battery so V doesn’t change, explain
When the charge is conserved and a dielectric is added to a capacitor the capacitance C will increase. To fulfill the law of conservation of charge the voltage must decrease to compensate for the increased capacitance
We have seem that the capacitance C de[pends on the size and shape of the two conductors as well as on the dielectric constant K. What then did we mean when we said that C is constant
Once the capacitance is set the capacitor will have a given value and you cannot change its rating
A +.2 mC charge is in an electric field what happens if that change is replaced by a +.4 mC charge
The electric potential stays the same but the electric potential energy doubles, the electric potential is the voltage
Two identical positive charges are placed near each other at the point halfway between the two charges
The electric field is zero adn teh potential is positive
Four identical point charges are arranged at the corners of a square the electric field E and potential V at the center of the square are
E=0 and V does not = 0
If teh field at a particular point is zero teh potential at that point must be zero true or fals
True
If it takes an amount of work W to move +q point charges from infinity to a distance d apart from each other. Then how much work should it take to move three +q point charges from. Infinity to a distance d apart from each other
W+2W=3W
A proton Q=+e and an electron Q=-q are in a constant electric field created by oppositely charged plates. You release the proton from near teh positive plate and teh electron from near the negative plate. Which feels the larger electric force
The electron bc not the same mass but the same charge
What doesn’t affect the capacitance
The charge on the plates and the energy stored in teh capacitor
A battery est a VoLTE V on a parallel plate capacitor. After the batter is disconnected the distance between teh a plates is doubled without loss of charge. Accordingly the capacitance _____ and teh voltage between teh plates _____
Decreases, increases
Which is the vector
Electric field
A +.2 mC charge is in an electric field. What happens if that charge is replaced by a -.2 mC charge
Teh electric potential stays the same but the electric potential energy changed sign
If two points are at the same potential does this mean that no net work is done in moving a test charge from one point to the other? Does this imply that no force must be exerted
The net work is zero if there is no change in position or there could be positive and negative work that cancel each other, you can apply a froce and not do any work bc you aren’t moving teh object .Yes, since there s no displacement from the original position. (You could have positive work for half the path and negative work for the second half which would result in zero net work). No, force can be applied. Force is a push or pull that may or may not change the motion of a body.
If a negative charge is initially at rest in an electric field will it move toward a reigion of higher potential or lower potential what about a positive charge how does the potential energy of teh charge change in each instance DIAGRAM
A negative charge will move from low potential (voltage) to high potential, decrease its potential energy (U) increase its Kinetic energy (KE). A positive charge will move from high potential (voltage) to low potential (voltage) decrease its potential energy and increase its kinetic energy. Total energy in any process is conserved.
State clearly the difference between electric potential and electric field, between electric potential and electric potential energy
Electric potential is electric potential/ charge and is a scalar quantity. Electric field is force/unit charge and is a vector quantity. Electric potential energy is the work done against the electric force in moving a charge from a specific location of zero potential energy to some other location. Electric potential is the electric energy per unit charge. (Energy and work are in joules (J)). Look at formulas as well