Mindyard | In a particular system of units, a physical quantity can be expressed in terms of the electric charge e , electron mass m e , Planck's constant h , and Coulomb's constant k = 1 4 π ε 0 , where ε 0 is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is [ B ] = [ e ] α [ m e ] β [ h ] γ [ k ] δ . The value of α + β + γ + δ is ___

In a particular system of units, a physical quantity can be expressed in terms of the electric charge $e$ , electron mass $m_{e}$ , Planck's constant $h$ , and Coulomb's constant $k = \frac{1}{4 π ε_{0}}$ , where $ε_{0}$ is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is $[B] = {[e]}^{α} {[m_{e}]}^{β} {[h]}^{γ} {[k]}^{δ}$ . The value of $α + β + γ + δ$ is ____.

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