  By utilizing the field equations of the modified teleparallel equivalent of
general relativity, denoted as $\mathit{f(T)}$, we obtain an exact solution for
a static charged black hole in n-dimensions, without imposing any constraints.
The black hole possesses two distinctive dimensional constants: $m$ and $v$
with unit {\textit length}. The first constant is associated with the mass,
while the second constant represents the electric charge. The existence of this
electrical charge causes the black hole to diverge from the expectations of the
teleparallel equivalent of general relativity (TEGR). Our analysis demonstrates
that $\mathit{f(T)}$ is reliant on the parameter $v$ and transforms into a
constant expression when $v$ is assigned a value of zero. A captivating aspect
of this particular black hole is its absence of singularities in the quantities
formed using torsion and curvature, given that the dimension $n$ falls within
the interval of $4 \leq n \leq 6$ as $r$ approaches zero. However, for
$n\geq7$, the singularity becomes milder in comparison to the case of TEGR.
Furthermore, By utilizing the conserved n-momentum vector, we calculate the
energy of this solution and confirm its correspondence with the ADM mass,
accurate to the order of $O\Big(\frac{1}{r}\Big)$. Otherwise, we observe
higher-order contributions arising from the electric charge terms. Through the
application of a coordinate transformation to the black hole, we derive a
precise solution describing a stationary rotating black hole. This solution
showcases significant readings of the torsion scalar and the analytical
function $\mathit{f(T)}$. In order to gain insight into the physics of this
black hole, we calculate various physical quantities related to thermodynamics,
such as entropy, Hawking temperature, and heat capacity. The analysis reveals
that the black hole exhibits thermal stability.
