Geometric　and　topological　aspects　associated　with　induction　effects　of　field　lines　in　the　shape　of　torus　knots/unknots　are　examined　and　discussed　in　detail.　Knots　are　assumed　to　lie　on　a　mathematical　torus　of　circular　cross-section　and　are　parametrized　by　standard　equations.　The　induced　field　is　computed　by　direct　integration　of　the　Biot-Savart　law.　Field　line　patterns　of　the　induced　field　are　obtained　and　several　properties　are　examined　for　a　large　family　of　knots/unknots　up　to　51　crossings.　The　intensity　of　the　induced　field　at　the　origin　of　the　reference　system　(center　of　the　torus)　is　found　to　depend　linearly　on　the　number　of　toroidal　coils　and　reaches　maximum　values　near　the　boundary　of　the　mathematical　torus.　New　analytical　estimates　and　bounds　on　energy　and　helicity　are　established　in　terms　of　winding　number　and　minimum　crossing　number.　These　results　find　useful　applications　in　several　contexts　when　the　source　field　is　either　vorticity,　electric　current　or　magnetic　field,　from　vortex　dynamics　to　astrophysics　and　plasma　physics,　where　highly　braided　magnetic　fields　and　currents　are　present.