A planar coil of wire has a single

Answered question

2022-03-23

A planar coil of wire has a single turn. The normal to this coil is parallel to a uniform and constant (in time) magnetic fi eld of 1.7 T. An emf that has a magnitude of 2.6 V is induced in this coil because the coil’s area A is shrinking. What is the magnitude of ΔA/Δt, which is the rate (in m2 /s) at which the area changes?

Answer & Explanation

user_27qwe

user_27qwe

Skilled2022-04-22Added 375 answers

From Faraday's Law, the induced EMF is given by:

EMF=-(ddt)MagneticFlux

=-(ddt)(MagneticField)×(LoopArea)

=-(MagneticField)×(ddt)(LoopArea)



From the problem statement:

{2.6V}=-(1.7T)×(ddt)(LoopArea)

(ddt)(LoopArea)=-{2.6V}/(1.7T)=-1.529m2/sec

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