Given two vectors, one 8 units in length the other 3 units in length, explain why the maximum resultant of the two is a single vector 11 units in length and the minimum resultant of the two is a single vector 5 units in length.

Here two vectors are given of lengths

now let say the two vectors are inclined at some angle with each other

so the resultant is given as

now plug in all values

Now for maximum resultant the angle between two vectors must be ZERO degree

Now for minimum resultant the angle between two vectors must be 180 degree

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: