In a particular system of units, a physical quantity can be expressed in terms of the electric c...

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In a particular system of units, a physical quantity can be expressed in terms of the electric charge \( e \), electron mass \( m_{e} \), Plancks constant \( h \), and coulombs constant \( k=\frac{1}{4 \pi \varepsilon_{0}} \), where \( \varepsilon_{0} \) is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is \( [B]=\left[e e^{\alpha}\left[m_{e}\right]^{\beta}[h]^{\gamma}[k]^{\delta}\right. \). The value of \( \alpha+\beta+\gamma+\delta \) is
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