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A solenoidal inductor consists of ten turns of wire in air coiled with a diameter of...

A solenoidal inductor consists of ten turns of wire in air coiled with a diameter of 5 mm and length 1 cm. The solenoid is oriented with the long axis of the coil in the z direction.

(a) The inductor is driven with 1 mA of current. Find the magnetic field intensity vector field inside the solenoid. Be sure to give both the direction and magnitude of the vector field.

(b) Find the magnetic flux density vector field inside the solenoid.

(c) Find the flux linked by the solenoid and calculate the inductance.

(d) If the solenoid is wrapped around an iron core, what does the inductance change to?

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