Reading Quiz
Question 1:
Explain what the Biot-Savart law describes.
Answer:
The Biot-Savart law described the strength and direction of the magnetic field (dB) due to a small current element (current I and length dL).
- It describes magnetic field induced by a certain current.
- The Biot-Savart law describes how to to find a magnetic field due to a current at a specific point
- The Biot-Savart law describes the magnetic field (dB vector) at a point p due to the current I flowing along dL vector.
- The Biot-Savant law describes how moving electric charges produce magnetic fields.
- The Biot-Savart law shows the conribuion dB to a point P in the magnetic field.
- describes how much a small current contributes to the overall magnetic field a point P away from the current
- The Biot-Savart Law gives the magnetic field direction at a specific point due to a small element of current.
- the Biot-Savart law gives the contribution dB^ to the magnetic field at a point P due to a small element of current I. (in much the way that Coulomb's law gives the electric field dE^ due to a charge element dq, but there are differences)
- The Biot-Savart law describes how a magnetic field dB arises from a small element of steady current.
- It describes dB based on a point and the current at that point.
- Biot-Savart law describe how moving charge produces a magnetic field.
- The Biot-Savart law describes the piece of dB contributed to the magnetic field due to a small element of current. This piece can then be integrated over the whole to find the total B.
- This law describes the magnetic field at a certain point, as determined by the current flowing along a vector.
- The Biot-Savart law describes the magnitude and direction of the magnetic field produced by an electric current.
- The magnetic field created by a current.
Question 2:
List the important differences between Coulomb's law and the Biot-Savart law.
Answer:
Each law describes the field strength (either electric or magnetic) resulting from a point charge or current element. The two most important distinctions are: (1) the more complicated nature of the magnetic field direction--a cross product; and (2) the fact that the source of electric fields come in two flavours (positive and negative charge) whereas the magnetic source is a complete current loop.
- All currents are in loops: there cannot be a "point" of current. Currents have a direction, thus a cross product arises, as opposed to a directionless charge.
- With Coulomb's law, charge is scalar, but in the Biot-Savart law, the charge is moving, meaning that it is a vector quantity. Also, the Biot-Savart law requires a calculation over an entire circuit, since the charges are not stationary.
- Biot-Savart has an integral and a cross product; Coulomb has neither. Also, Coulomb can talk about point charges, but you can't isolate current.
- The charge which is the source of electric field in Coulomb's law is a scalar, while the moving charge which is the source of the magnetic field in Biot-Savant law is a vector.
- In Coulomb's law, a charge which creates the electric field is a scaler quantity, while in the Biot-Savart law, the source of the magnetic field is a moving charge which ha a direction.
- instead of a charge resulting in a field, its a moving charge that results in the field. And since that moving charge has a velocity, it also has a direction so it is a vector quantity, while in Coulomb's law it was a scalar quantity. Also, in the Biot-Savart law, the current moves around a circuit while in Coulomb's law the charge stays stationary, so in the Biot-Savart law the magnetic field due to a current is the total magnetic field the current creates throughout its circuit.
- Coulomb's Law defines the electric field, not the magnetic field. Also, charge, which is the source of an electric field, has no direction, whereas moving charge, which is the source of a magnetic field, does.
- the source of electric field-charge is a scalar, but the source of magnetic field-moving charge has direction. the direction depends on the sine of angle between dL^ and r^ from the source toward the point where we're evaluating the field Bio-Swavart law calculation necessaarily involves the field produced by current elements around an entire circuit
- Coulomb's law deals with charge, which is a scalar quantity, while the Biot-Savart law deals with moving charge, which has a direction. The Biot-Savart law also involves the fields produced by an entire circuit for a steady flow of charge, whereas Coulomb's law allows the focus to be on isolated point charges.
- Coulombs law applies to point charges whereas Biot-Savart applies to currents. THe point charges have scalar values and moving charges are vector quantities.
- Biot-savart law contains cross product. And Biot-Savart calculations involves the fields produced by current element around an entire circuit.
- The Biot-Savart law is a vector quantity. The Biot-Savart law is also for entire circuits only.
- The Biot-Savart law accounts for the vector in moving charge, which Coulomb's Law does not. The Biot-Savart law also includes a cross-product, which includes the fields of all of the included charges.
- One of the important differences between Coulomb's law and the Biot-Savart law is that the source of electric field (charge) is a scalar, but the source of a magnetic field (charge with velocity) is a vector, and the Biot-Savart law must account for the direction of this vector as well as its magnitude, which it does by using a cross product. Another difference is that while it is possible to have a point charge on which to use Coulomb's law, it is not possible to have a single "point current" on which to use the Biot-Savart law because current must always flow in a loop. Therefore, the source distribution in Coulomb's law may be geometrically simpler than that in the Biot-Savart law.
- Coulomb's law differs in that it is dependent on the current, not the charge.
Question 3:
Describe what is meant by a "magnetic dipole" and why it is called a dipole.
Answer:
A magnetic dipole is a current loop, of current I and area A. It is called a dipole because, just like the electric dipole, it experiences a torque in the presence of a field. In this case, it is in the presence of a magnetic field.
- A magnetic dipole has a north and south pole - in nature, an isolated pole has never been found; thus they are almost always found in pairs.
- A magnetic dipole is the magnetic field created by a loop of current carrying material. It is called a dipole because the calculation is similar to an electric dipole, and at large distances, the field is very similar to that of an electric dipole
- A so-called "magnetic dipole" is a loop of current. From a distance it exhibits the same 1/r^3 dependence as an electric dipole.
- A magnetic dipole is formed by the steady currents which form loops.
- A magnetic dipole is a closed loop in which the current is the same at any point. It's called a dipole because the magnetic created by a closed loop is similar to an electric field created by a electric dipole.
- Because the electric dipole moment is the product of charge and separation, the magnetic dipole moment is the product of the loop current and the loop area. Also, the magnetic field far enough away from a current loop will have the characteristics of a dipole
- A magnetic dipole is the direction of the magnetic field through a current loop. The magnetic field that is created by the current loop looks like a dipole from a large distance, and also responds to torque as a dipole would.
- any current loop constitutes a magnetic dipole: that from any current loop, the magnetic field will be the characteristic of a dipole
- A magnetic dipole is the result of any closed circulation of current with the magnetic field having properties similar to an electric dipole. It is called a dipole because it two poles together, while isolated poles, or monopoles, have never been found.
- a loop of current is described as a magnetic dipole because it behaves similarly to an electric dipole. The shape of the field created is also loops which go through the current loop.
- The separation of two opposite point charges or charged regions makes an electric dipole
- A magnetic dipole is the field created by a loop of current flowing through a circuit. It is called a dipole because it creates distinct negative and positive ends based on the direction of flow.
- A magnetic dipole is any closed loop of current, because it acts in a similar fashion to an electric dipole.
- A "magnetic dipole" is the source of a magnetic field. Since no magnetic "charge", which would produce a magnetic field radiating out in a straight line, has ever been found, the simplest source of a magnetic field is a magnetic dipole. It is called a dipole because the equation for the strength of a magnetic field at sufficient distance from the source is very similar to the equation for the strength of an electric field at sufficient distance from a dipole.
- A magnetic dipole is a closed circulation of charge. The closed circulation of charge creates two different poles of opposite magnitude.
Question 4:
What factors into the size of a magnetic dipole?
Answer:
The cross sectional area (A) and the size of the current in the loop (I) factor into the magnitude of the magnetic dipole.
- The amount of current in a loop, and the area enclosed by this loop.
- The number of loops in the circuit, the current, and the area.
- Velocity. Increased velocity means an increased radius, because r=mv/qB.
- Loop area , current and number of turns in a loop
- th number of the turn of the current loop and the area of the loop
- the number of turns in the current loop, the current strength and the loop area
- the number of turns of a loop, the current flowing through the loop, and the cross sectional area of the loop
- miu^ = NIA^ in N-turn loop, I current, Aarea, miu is the magnetic dipole moment
- The number of turns in the loop, the current and the area of the loop all factor into the size of a magnetic dipole.
- The area inside the loop The current of the loop The number of coils of the loop
- At large distance from a current loop, magnetic field is characteristic field of a dipole and is similar in configuration and expression to electric field.
- The number of loops, current, and the cross sectional area of the wire all affect the dipole.
- The strength of the field.
- the number of turns in the current loop and the magnitude of current running through it
- Number of loops, current, and area
Question 5:
What is responsible for the periodic behaviour of sun-spot activity?
Answer:
The 11 year cycle related to sun-spot activity in our Sun is due to the periodic reversal of the Sun's overall magnetic field.
- The sun has a very strong dynamic magnetic field, which reverses every eleven years. Due to this, sunspots occur.
- Sunspots are areas of strong magnetic fields, often occuring when the magnetic field inverts, that cause "solar outbursts"
- It has to do with the switching of the sun's magnetic field, but i think the rising and falling numbers of sun-spots are what causes the field switch, not vice versa.
- current in the gaseous Sun and its atmosphere produce a solar magnetic field which varies very rapidly, coinciding with the periodic behaviour of sun-spot activity.
- the large sunspot group, which is a group of intense magnetic field
- currents in the Sun and its atmosphere that vary rapidly, causing sun spots which are regions of strong magnetic fields that give rise to outbursts
- Sun-spots are caused by intense magnetic fields. Their periodic behavior is due to the reversal of the solar field.
- sunspots are regions of intense magnetic field. The large sunspot group below the solar equator was responsible for some of the most energetic solar outburst.
- The reversal of the magnetic field about every 11 years from electric currents in the Sun and its atmosphere are responsible.
- the solar field reverses itself roughly every 11 years.
- Currents in the gaseous Sun and its atmosphere produces a magnetic field which varies periodically.
- The reversal of the overall solar field every 11 years coincides with the rise and fall in the number of sunspots.
- The reversal of the solar magnetic field.
- periodic reversal of the magnetic field caused by currents in the sun
- The changes in the solar magnetic field
Question 6:
What does Gauss' law for magnetism tell you?
Answer:
Gauss' law for magnetism tells you that the total magnetic flux through a closed surface is always zero. This is equivalent to the statement that there is no magnetic monopole, as there is no way to isolate the "north" end of a magnetic field from its "south" end.
- All magnetic fields are closed loops.
- That the magnetic flux of any closed surface must be zero.
- It tells us that the net number of magnetic field lines emerging for any closed surface is always zero because magnetic field lines have no beginning or ending, but rather form loops.
- Since there is no magnetic charge, the net number of magnetic field lines emerging from any closed surface is zero.
- It says that the magnetic flux in any closed surface has to be zero because there isn't any magnetic charge.
- That the magnetic flux emerging from any closed surface is always zero, however this means that the magnetic field lines have no beginning or end so they continue to go into and out of the surface for a net total of zero magnetic flux
- Gauss's Law for magnetism tells us that all magnetic fields are designed so that there field lines have no beginnings or ends.
- because there is no magnetic charge, the net number of magnetic field lines and therefore the magnetic flux emerges from any enclosed surface is always zero.
- It explains that there are no magnetic monopoles and that magnetic field lines therefore never begin or end.
- The magnetic flux from any closed surface is zero
- all magnetic fields must be configured so that their field lines have no beginning or endings.
- It tells me that the magnetic flux emerging from any close surface is always zero.
- That the magnetic field acts the same as the electric field, as the only difference between Gauss's law for electricity and magnetism is the replacement of E with B, the electric field with the magnetic.
- The magnetic flux (number of magnetic field lines / amount of magnetic field emerging from) through any closed surface is always equal to 0.
- Magnetic field lines do not end or begin, but instead are just constant loops.
Question 7:
POLL #3 [retake]: Which law in more fundamental in nature: Coulomb's law or Gauss' law?
Answer:
- Coloumb's Law: It can be used in more cases - Gauss' law can only be used when there is high symmetry.
- Gauss' law
- I want to say Gauss' law, but I think that's mainly because I like it more and I think it's cooler--not necessarily because it's more fundamental.
- Gauss's law
- Gauss
- Maybe Gauss' law. Its fundamentally simpler
- Gauss's Law
- both is really important, from Gauss's law we could find Coulomb's law, vice verca.
- Gauss' law.
- Gauss's law
- Coulomb's Law
- Coulomb's Law.
- I still think Coulomb's law.
- Coulomb's law
- Gauss's Law
Question 8:
Please describe any part of the reading that was unclear.
It mostly was clear.
The part of the hall effect was sort of confusing
I just feel a little overwhelmed in general, but that's ok.
The explanation of magnetic dipoles was a trifle unclear.
Can you go over the magnetic dipole? I still don't really understand how it creates a positive and negative side, I just see the similarities between the electric and magnetic dipoles
this whole section was very difficult!! can we have more time to learn it?
I really had time with homework...
None
why electric dipole and magnetic dipole are similar.
none
The last two sections were confusing.
none
Biot=Savart Law