An infinite solenoid with radius a and n turns per unit length carries a current which increases linearly with time, as I(t) = at a > 0. The solenoid is looped by a circular wire of radius r, coaxial with it. The magnetic field due to the current in the solenoid is B = onI inside the solenoid and B = 0 outside the solenoid. Use the cylindrical coordinates (r, 0, 2) and note ^, 0, and are the unit vectors, with the z axis pointing upward. Use the integral form of Faraday's law, i.e. f E.didto

Do (c) and ( e)

A dog in an open field runs 12.0 mm east and then 27.0 mm in a direction 50.0 ∘∘ west of north. In what direction must the dog then run to end up 12.0 mm south of her original starting point? Express your answer in degrees.   How far must the dog then run to end up 12.0 mm south of her original starting point? Express your answer with the appropriate units.

You walk 37 m to the north, then turn 61° to your right and walk another 45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.