Electromagnetic　induction　coil　is　an　important　device　for　magnetic　field　measurement.　Due　to　the　simple　structure　and　reliable　performance,　the　induction　coils　are　widely　applied　in　the　electromagnetic　nondestructive　testing　area.　The　transfer　function　of　the　induction　coil　determines　its　sensitivity　to　the　variation　of　the　magnetic　field　and　the　operation　frequency　range.　To　precisely　analyze　the　transfer　characteristics　of　the　induction　coils,　the　model　for　revealing　the　correlations　between　the　geometrical　parameters　of　the　coil　and　the　equivalent　electrical　parameters　were　established　in　this　study.　In　particular,　the　model　for　calculating　the　equivalent　capacitance　of　the　induction　coils　was　improved.　Then,　based　on　the　established　theoretical　model,　the　resonant　frequency,　transfer　function　and　sensitivity　of　the　coil　were　numerically　investigated.　The　prediction　accuracy　of　model　was　evaluated　by　experimental　results.　Finally,　the　influence　of　the　geometrical　parameters　of　the　coil　on　the　above　mentioned　characteristics　was　discussed,　the　obtained　conclusions　provide　theoretical　basis　for　the　optimal　design　of　electromagnetic　induction　coils.　©　2019　Chin.　Soc.　for　Elec.　Eng.