Diagram methods are applied for evaluating the off‐diagonal (Hall) components of the ac effective magnetoconductivity tensor σ yx*(ω) in an inhomogeneous material for the case of low magnetic field. Closed expressions for σ ik*(ω) are obtained in two approximations, namely in the self‐consistent cumulant approximation and in the effective‐medium approximation (EMA). Our expression for σ ik*(ω) in the EMA coincides with the one obtained earlier by Fishchuk. The obtained results are applied to the model of a random binary mixture consisting of two conducting materials 1 and 2 with conductivity tensors σ ik(1) and σ ik(2) and volume fractions x and 1 − x, respectively. In the special case of σ ik(2) = 0 and ω = 0 the (dc) Hall conductivity σ yx* in both above‐mentioned approximations has a percolation threshold at some critical value X_c. In each approximation the value of x_c coincides with the one for the dc diagonal (ohmic) conductivity σ* taken in the same approximation: the self‐consistent cumulant approximation gives x_c = 1 – exp (−1/3), while in the EMA x_c is equal to 1/3.