The Berry curvature, akin to the magnetic field in reciprocal space, provides an intriguing avenue for exploring unique electromagnetic phenomena devoid of real-space analogs. In this work we investigate reciprocal-space electromagnetic induction, including the contributions from time-varying Berry curvature and the magnetic charge current in topological semimetals, where a nodal line and Weyl nodes coexist under a driving term. We find that the Berry curvature along the nodal loop is nonuniform: it aligns with the azimuthal direction on one half of the loop, while on the other half, it points antiparallel. Moreover, as the Weyl node moves in reciprocal space, its monopole charge can change sign. As a result, the average emergent electric field passing through the nodal loop or the Weyl point's motion orbit does not consistently align with its normal direction. Instead, one half of the field is parallel to the normal, while the other half is antiparallel. In both cases the total emergent electric field in reciprocal space sums to zero. However, by connecting the topological semimetal to an electrode, we can detect the electric field with a nonzero local average through the quantum pumping effect. Our research sheds light on different types of electromagnetic induction effect, thus broadening our comprehension of electromagnetic phenomena.

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• Berry curvature
• Nodal-line semimetals
• Weyl semimetal
• S-matrix method in transport