I have just begun my journey in Classical Mechanics with the book "An Introduction to Mechanics" by Kleppner and Kolenkow. I find myself stuck at Newton's first law. The book presents Newton's first law as follows:
"Newton's first law is an assertion that inertial frames exist."
The book also...
It is well known that under electrostatic conditions, a neutral conductor when placed in an external electric field encloses a net zero electric field within it. But, do you think that the electric field within a charged conductor is zero, when it is placed in an external electric field...
If I consider a star shaped hollow conductor( closed ) and I place some charge on it, the electric field inside the conductor would be zero( under electrostatic conditions ).
It is true that under ELECTROSTATIC CONDITIONS, excess charge on a conductor always resides on the surface of the conductor because if they were inside it, there would be an electric field inside the conductor which would set the free electrons into motion. They distribute uniformly over the...
When one comes across the sentence 'axis of a straight wire', how can one consider the orientation of the axis?
Commonly, the axis of a straight wire can be considered to be a line parallel(along the wire) to the wire itself.
Can 'axis of a straight wire' also mean a line that is...
According to me, a field is a collection of points in space such that at each point in space, the value of the property(variable or constant) is a function of the position of that point with respect to a reference. In case of vector fields, besides the value, an arrow is associated to the point...
Well, permanent magnets are made of ferromagnetic material. These magnets lose permanent magnetization above the Curie temperature(on heating) and behave as paramagnetic materials. The reason is thermal energy. The magnetic moments lose their initial configuration and no longer remain aligned...
Given,
U(n)=1/(logn)^(2*n)
To find:
Whether the series ƩU(n) is convergent or divergent.
Sequence of tests to be followed:
*Comparison tests
*Integral tests
*D'Alembert's ratio test
*Raabe's test
*Logarithmic test
*Cauchy's root test
My approach:
Comparison test:
Since the series V(n) cannot...
The given series is:
1+[(a+1)/(b+1)]+[(a+1)(2*a+1)/(b+1)(2*b+1)]+[(a+1)(2*a+1)(3*a+1)/(b+1)(2*b+1)(3*b+1)]+...∞
Problem:
To find U(n+1)/U(n).
My approach:
Removing the first term(1) of the series and making the second term the first,third term the second and so on...
I get...
Does a current carrying wire create an electric field in it's vicinity?
I believe that there is no electric field created around the wire(ideal situation). That's because the current carrying wire is neutral. You can imagine electrons moving in a specific direction under the influence of the...
In Faraday's famous experiment, a changing magnetic flux through a conducting loop did 'induce' an opposing magnetic field didn't it? Well, I've gone off topic to talk about induced fields. I agree with you about the existing fields around a charge.
Thank you.
Yes I completely understand what you are trying to say. But I'm trying understand the difference between what an induced and a created(generated) field is.
Do moving charges 'create' or 'induce' magnetic field around them?
I believe that induction is a phenomenon in which the behavior of one object depends on the behavior of another object provided they interact with each other. In this case, the moving charge is just surrounded by air or vacuum...