Calculate the average value of the cosine of the angle between the electric field direction and the molecular dipole, , of a collection of molecules each with a dipole moment,µ=1.0 x 10-29 Coulomb meters, when they are placed in a uniform electric field, E= 1000 volts per meter. The temperature is 300 K. The angular distribution of the dipoles obeys a Boltzmann distribution where the weighting factor for a range of angles between θ and θ+dθ is wθ=gθe(µEcosθ/kT), and the degeneracy factor gθ= 2psinθsindθ. What average angle does this average value of cosθ correspond to? What is the average value of θ when the field is turned off? The electric field and the molecular dipole vectors and dcosθ = -sinθdθ.