Part A If the U-shaped conductor in the figure has resistivity ? , whereas that

Question

Part A

If the U-shaped conductor in the figure has resistivity ?, whereas that of the moving rod is negligible, derive a formula for the current I as a function of time.(Figure 1) Assume the rod starts at the bottom of the U at t=0, and moves with uniform speed v in the magnetic field B. The cross-sectional area of the rod and all parts of the U is A.

Express your answer in terms of the variables ?, v, B, A, t, and l.

I(t)=

Part A If the U-shaped conductor in the figure has resistivity ?, whereas that of the moving rod is negligible, derive a formula for the current I as a function of time.(Figure 1) Assume the rod starts at the bottom of the U at t=0, and moves with uniform speed v in the magnetic field B. The cross-sectional area of the rod and all parts of the U is A. Express your answer in terms of the variables ?, v, B, A, t, and l. I(t)= Dont copy the answer without t and l thank you.

Explanation / Answer

induced emf is defiend as the rate of change of magnetic flux

in mathematical form,

induced emf e = NAdB/dt

where A   = area

N = no. of tunrs

dB/dt = rate of change of magntic flux

so emf e = A* dB/dt

ow

induced current i = e/R

where R = resisatnce

i = AdB/dt/R

or simply    i = AB/tR

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---