The half-circle (radius = a) conducting structure below is placed parallel to the plane of the...

 

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The half-circle (radius = a) conducting structure below is placed parallel to the plane of the page. The external magnetic field, Bext, is directed out of the page. The magnitude of this field varies with time as B(t) = Bo cos wt. Point P is fixed, but the part between the two marks is allowed to move such that it is always in electrical contact with the rest of the structure. The angle (in radians) is increasing in the indicated direction such that 0 = wt with 0 (t = 0) = 0. a) Find the flux through the closed circuit at any position as a function of time. b) Find the magnitude of the current induced in the structure at t = t₁. The structure has a constant resistance R. c) Show the direction of the induced current on the figure. Bext O P a 0 The half-circle (radius = a) conducting structure below is placed parallel to the plane of the page. The external magnetic field, Bext, is directed out of the page. The magnitude of this field varies with time as B(t) = Bo cos wt. Point P is fixed, but the part between the two marks is allowed to move such that it is always in electrical contact with the rest of the structure. The angle (in radians) is increasing in the indicated direction such that 0 = wt with 0 (t = 0) = 0. a) Find the flux through the closed circuit at any position as a function of time. b) Find the magnitude of the current induced in the structure at t = t₁. The structure has a constant resistance R. c) Show the direction of the induced current on the figure. Bext O P a 0

Answer rating: 100% (QA)

a The magnetic flux through the closed circuit is given by the product of the magnetic field B and t... View the full answer