- #1
alice emily
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Homework Statement
what is this equation used for
Homework Equations
B=(mu*l)/(2*pI*r)
What is B = (mu * l)/(2pi*r) used for?
- Thread starter alice emily
- Start date
AI Thread Summary
The equation B = (mu * l) / (2 * pi * r) is used to calculate the magnetic field around a straight wire carrying an electric current. It is derived from Ampere's Law and can also be related to the Biot-Savart Law. The magnetic field is uniform at any point on a circle centered around the wire, decreasing in strength as the distance from the wire increases. Additionally, a stronger current results in a stronger magnetic field. This equation is essential for understanding the behavior of magnetic fields in relation to current-carrying conductors.
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
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}...
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