Electric Field Outside a Solenoid

AI Thread Summary
The discussion revolves around calculating the electric field outside a solenoid with specific parameters, including a radius of 1.85 cm and 1110 turns per meter, where the current varies over time as I = 2.50t. The relevant equation for the electric field is provided, incorporating constants and variables such as the permeability of free space and the distance from the solenoid's axis. Initially, the user calculated the electric field to be 1.09x10^{-4} V/m but later realized their calculation contained an error. The user ultimately found the mistake in their calculations. The thread highlights the importance of careful unit conversion and application of formulas in physics problems.
sashab
Messages
12
Reaction score
0

Homework Statement



A solenoid has a radius of 1.85 cm and 1110 turns per meter. Over a certain time interval the current varies with time according to the expression I = 2.50t, where I is in amperes and t is in seconds. Calculate the electric field 5.47 cm from the axis of the solenoid.


Homework Equations



E = (μ_{0}n/2)(di/dt)(R^{2}/r), r>R

Where μ_{0} = 4∏x10^{-7}, n = 1110 turns/meter, di/dt = 2.50, R = 0.0185m, r=0.0547m

The Attempt at a Solution



After plugging in all the numbers and putting things in the right units, I got 1.09x10^{-4} V/m, but this is incorrect. If someone could tell me where I went wrong, I would really appreciate it! Thanks
 
Physics news on Phys.org
Nevermind, I found my mistake!
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Understanding self-inductance in a solenoid.
Replies
3
Views
1K
Calculating magnetic field outside a solenoid
Replies
15
Views
1K
Direction and magnitude of electric field produced by current change
Replies
8
Views
1K
Current in circular wire surrounding infinite solenoid in a circuit
Replies
7
Views
1K
Magnetic field outside a semi-infinite solenoid
Replies
12
Views
1K
Induced EMF in a coil outside a solenoid
Replies
15
Views
7K
Induced Current Problem from the professor not in our textbook
Replies
2
Views
1K
Calculating Induced EMF in a Larger Solenoid Slipped Over Another Solenoid
Replies
5
Views
2K
Electron in a time variable magnetic field
Replies
5
Views
1K
Calculating Current in a Wire Loop Inside and Outside a Solenoid
Replies
9
Views
6K

Hot Threads

Recent Insights

Back
Top