a wood cylinder of mass m = 0.250 kg and length L = 0.100 m, with N = 10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long central axis of the cylinder. The cylinder is released on a plane inclined at an angle u to the horizontal, with the plane of the coil parallel to the incline plane. If there is a vertical uniform magnetic field of magnitude 0.500 T, what is the least current i through the coil that keeps the cylinder from rolling down the plane?

A loop of wire with radius r=0.075m is placed in a region of uniform magnetic field with magnitude B. As shown in the figure, the field direction is perpendicular to the plane of the loop. The magnitude of the magnetic field changes at a constant rate from B1=0.55T to B2=1.5T in time Δt=5.5s. The resistance of the wire is R=6Ω A. Calculate, in Tesla squared meters, the magnitude of the change in the magnetic flux.  B. Calculate, in volts, the average EMF induced in the loop.  C. Calculate, in amperes, current induced in the loop.

Q.A) A constantan wire of length 12 m and having a cross sectional area 1.4x10-4 m2 is converted into 3-turn circular loop. It is connected to a voltage of 0.160 V. If the loop is placed in a uniform magnetic field of magnitude 0.66 T at an angle of 64˚, then calculate torque in the circular loop? (The resistivity (ρ) of constantan= 49 x10 -8 Ω.m.)

A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.28 m. The normal to the plane of the loop is parallel to a constant magnetic field (p = 0°) of magnitude 0.82 T. What is the change AO in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? B (into paper) ΔΦ = i