A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius r = 3.00 cm, as shown in the end view of the figure below. The solenoid is 24.5 cm long and wound with 104 turns of wire.
(a) If the current in the solenoid is 2.30 A, what is the
magnetic flux through the square loop?
T · m2
(b) If the current in the solenoid is reduced to zero in 2.75 s,
what is the magnitude of the average induced emf in the square
loop?
V
Solution)
Part a)
Magnetic Field, B=uo*n*I
Here, Area,A=10^-4 m^2
Also, Flux, Phi= BA= uoNIA=(4pi*10^-7)*104*2.30A*10^-4 m^2
Phi=3.004*10^-8 Wb
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Part b)
Here, current is reduced to zero
Change in magnetic flux, dPhi=-3.004*10^-8 Wb
Dt=2.75 secs
Induced emf=-(-3.004*10^-8)/2.75 = 1.092*10^-8 V
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A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a...
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