The quantities x = 1 μ 0 ∈ 0 , y = E B and z = l C R are defined where C-capacitance, R-Resistance, ℓ - length, E-Electric field, B-magnetic field and ∈ 0 , μ 0 , - free space permittivity and permeability respectively. Then:

Step-by-step solution

(a) Dimensions of quantity are given bellow μ 0 = T   m   A - 1 = Wb   m - 1   A - 1 = V   s   m - 1   C - 1   s = N   C - 2   s 2 ε 0 = C 2   N - 1 m - 2 Now the dimension of x is given by x = 1 μ 0 ∈ 0 = 1 N   C - 2   s 2 C 2   N - 1 m - 2 x = m   s - 1 (b) The dimension of electric and magnetic field is given by, B = T = Wb   m - 2 = V   s   m - 2 E = V   m - 1 Now the dimension of y is given by, y