B) Show that Maxwell’s equations, when applied in a vacuum (i. e. no chargedensity or current density), give thewave equationsfor light:μ00∂2~E∂t2−∇2~E= 0;μ00∂2~B∂t2−∇2~B= 0(5)You need to show your work for full credit. Hint: take the curl of the righttwo equations in Eq. 1 and use the identity:∇×(∇×~F) =∇(∇·~F)−∇2~F(6)where∇2~Fis thevector Laplacian, whose components are the Laplacian ofthe individual components of~F. You will also need to use the fact that theordering of two derivatives can be interchanged.

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:

a=d/t

a="triangle"v/t

explanation:

a = acceleration

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide

a 2,000 calorie based diet.