Find dB. (0, 0, z₁), the z component of the magnetic field at the point P located at x=y=0, z=z₁ from the current I flowing over a short distance di = dl located at the point 7 = ₁ 1. (Figure 6)

QUESTION 5 a) A magnetic circuit consists of a toroidal silicon sheet steel with relative permeability 4, of 150, and a small air gap. A current I flows through 200 turns of wire wrapped around the toroid. The magnetic flux of the circuit is 5 x 10-9 Wb. The total length of the circuit is 0.8 m, and the cross-sectional area of the toroid is10-*m². The length of the air gap is 0.07 m. Find i. The total reluctance and inductance of the circuit ii. Magnetomotive force and hence the current. Ho = 4n x 10-7 H/m b) Differentiate between faraday law of electromagnetic induction and Lenz law and discuss their practical importance c) Using stokes theorem, prove that the divergence of curl of a vector is zero

A large water main is 2.25 m in diameter and the average water velocity is 6.75 m/s. If there are some slight impurities in the water, it can easily become a conductor and this flow represents a small electrical current. d = 2.25 mv = 6.75 m/s Find the Hall voltage produced if the pipe runs perpendicular to the Earth’s 5.00 × 10-5 T field.

The current in a long solenoid of radius 6 cm and 22 turns/cm is varied with time at a rate of 3 A/s. A circular loop of wire of radius 8 cm and resistance 7 0 surrounds the solenoid. Find the electrical current induced in the loop (in HA). HA