This discussion board is a place to discuss our Daily Challenges and the math and science
related to those challenges. Explanations are more than just a solution — they should
explain the steps and thinking strategies that you used to obtain the solution. Comments
should further the discussion of math and science.
When posting on Brilliant:
Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.
Markdown
Appears as
*italics* or _italics_
italics
**bold** or __bold__
bold
- bulleted - list
bulleted
list
1. numbered 2. list
numbered
list
Note: you must add a full line of space before and after lists for them to show up correctly
# I indented these lines
# 4 spaces, and now they show
# up as a code block.
print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.
print "hello world"
Math
Appears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3
2×3
2^{34}
234
a_{i-1}
ai−1
\frac{2}{3}
32
\sqrt{2}
2
\sum_{i=1}^3
∑i=13
\sin \theta
sinθ
\boxed{123}
123
Comments
Yes, an induced electric field can exist at a point which has zero magnetic field. If there is a time varying magnetic field, it produces an induced electric field, a magnetic field can vary with time and also simultaneously have its magnitude zero at an instant.
Yes You right Sandeep Bhardwaj, If there is a variable magnetic field confined to a specific region then the induced electric field produced can go beyond that region as well..!!
Yes electric field does exist at a point where magnetic field is not present, but the toughness lies in finding the magnitude and direction of electric field. For that we have solve super hard differential equations unless we have circular symmetry of magnetic field.
When two electrons are traveling parallel in space, it was concluded that attraction force due to (mutual?) magnetic induction shall never be greater than repelling force due to electrostatic force.
Unless drifting inside an electrical conductor with many protons around to make the wire to attract each other, two electrons alone cannot attract each other, otherwise they shall eventually collide.
Now, talking about an absolute speed, if only the electrons know that they are in motion, then they tend to get closer to each other. Note that this has nothing to do with direction of motion but perpendicular direction to motion only.
When we spin a pail of water, a parabolic shape formed by a force challenging the gravity. This shows that the pail of water knows what had happened around it.
Don't you think that the electrons suppose to know what happened to themselves in this way as well?
if the magnetic field at any point is varying, even with the magnetic field zero at an instant, EMF is induced and if the circuit is closed electric current is also induced. the magnetic field just needs to vary with time.
Ansh we can generalize this further , even if there is a region of time varying magnetic field 2 km from us then also we will experience induced electric field.
yes.... because magnetic field produced by moving charge... not in static charge....
in induced current there is static charge.... but when we move that charge then we experience magnetic field
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*or_italics_**bold**or__bold__paragraph 1
paragraph 2
[example link](https://brilliant.org)> This is a quote# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"\(...\)or\[...\]to ensure proper formatting.2 \times 32^{34}a_{i-1}\frac{2}{3}\sqrt{2}\sum_{i=1}^3\sin \theta\boxed{123}Comments
Yes, an induced electric field can exist at a point which has zero magnetic field. If there is a time varying magnetic field, it produces an induced electric field, a magnetic field can vary with time and also simultaneously have its magnitude zero at an instant.
I think that induced electric field can exist at a point where there is no magnetic field at all. Am I right ? @Rohit Gupta sir
Log in to reply
Yes You right Sandeep Bhardwaj, If there is a variable magnetic field confined to a specific region then the induced electric field produced can go beyond that region as well..!!
Yes electric field does exist at a point where magnetic field is not present, but the toughness lies in finding the magnitude and direction of electric field. For that we have solve super hard differential equations unless we have circular symmetry of magnetic field.
Probably yes..
Log in to reply
Yes is the correct Answer..!!
yes
Let's change the question into another way round.
When two electrons are traveling parallel in space, it was concluded that attraction force due to (mutual?) magnetic induction shall never be greater than repelling force due to electrostatic force.
Unless drifting inside an electrical conductor with many protons around to make the wire to attract each other, two electrons alone cannot attract each other, otherwise they shall eventually collide.
Now, talking about an absolute speed, if only the electrons know that they are in motion, then they tend to get closer to each other. Note that this has nothing to do with direction of motion but perpendicular direction to motion only.
When we spin a pail of water, a parabolic shape formed by a force challenging the gravity. This shows that the pail of water knows what had happened around it.
Don't you think that the electrons suppose to know what happened to themselves in this way as well?
if the magnetic field at any point is varying, even with the magnetic field zero at an instant, EMF is induced and if the circuit is closed electric current is also induced. the magnetic field just needs to vary with time.
Log in to reply
Exactly its not about the magnitude of magnetic field its about the magnitude of rate of change of magnetic field...
Ansh we can generalize this further , even if there is a region of time varying magnetic field 2 km from us then also we will experience induced electric field.
Yes
yes.... because magnetic field produced by moving charge... not in static charge.... in induced current there is static charge.... but when we move that charge then we experience magnetic field