Aplastic circular loop has radius r, and a positive charge q is distributed uniformly around the circumference of the loop. the loop is then rotated around its central axis, perpendicular to the plane of the loop, with angular speed v. if the loop is in a region where there is a uniform magnetic field b s directed parallel to the plane of the loop, calculate the magnitude of the magnetic torque on the loop.

Explanation:

As we know that charge is uniformly distributed on the circumference of the circular loop

so here we have

total charge = q

also we know that loop is moving with uniform angular speed

angular speed =

now we know that current in the loop due to motion of the ring is given as

now the magnetic moment of the loop is given as

now we know that the torque on the loop is given as

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: