Period of oscillation of dip needle

Amith2006
Messages
416
Reaction score
2
1)The time period of a dip needle vibrating in the vertical plane in the magnetic meridian is 3 seconds. When the same magnetic needle is made to vibrate in the horizontal plane, the time period of vibration is 3(2)^(1/2). What is the angle of dip of the place?
I think in both the cases, it is the horizontal component of earth’s magnetic field that exerts a restoring couple on the dip needle and causes it to oscillate. But how to go further?Please give an idea on how to solve this problem.
 
Physics news on Phys.org
Amith2006 said:
1)The time period of a dip needle vibrating in the vertical plane in the magnetic meridian is 3 seconds. When the same magnetic needle is made to vibrate in the horizontal plane, the time period of vibration is 3(2)^(1/2). What is the angle of dip of the place?
I think in both the cases, it is the horizontal component of earth’s magnetic field that exerts a restoring couple on the dip needle and causes it to oscillate. But how to go further?Please give an idea on how to solve this problem.
My interpretation: When the needle is in the vertical plane in the magnetic meridian it should be free to align with the full magnetic field. When it is horizontal, it can only align with the horizontal component.
 
Last edited:
That's great!Thanks.
 

Thread 'Please tell me where I am going wrong in this integral'

##|\Psi|^2=\frac{1}{\sqrt{\pi b^2}}\exp(\frac{-(x-x_0)^2}{b^2}).## ##\braket{x}=\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dx\,x\exp(-\frac{(x-x_0)^2}{b^2}).## ##y=x-x_0 \quad x=y+x_0 \quad dy=dx.## The boundaries remain infinite, I believe. ##\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dy(y+x_0)\exp(\frac{-y^2}{b^2}).## ##\frac{2}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,y\exp(\frac{-y^2}{b^2})+\frac{2x_0}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,\exp(-\frac{y^2}{b^2}).## I then resolved the two...
View full post »

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
View full post »

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Similar threads

Direction of the magnetic needle
Replies
11
Views
2K
B Why does my LC circuit not oscillate its energy between Electric & Magnetic fields?
4
Replies
152
Views
6K
Homework help -- magnetic field from a wire causing compass deflection....
Replies
4
Views
3K
Equation of motion for oscillations about a stable orbit
Replies
2
Views
4K
Magnetic Field in Spherical Coordinate
Replies
4
Views
6K
How to explain the Quantum Mechanics/Math of the stages of MRI imaging
Replies
4
Views
3K
Calculate the intensity of the Earth's magnetic field
Replies
2
Views
2K
How Do Magnetic Fields Influence Needle Behavior in Scientific Experiments?
Replies
2
Views
2K
Moment of Inertia Compass Needle
Replies
18
Views
4K
B Einstein thought experiment confusion: “light clock in a moving frame”
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top