Induced Electric Field

Match the following : {:(" Column I"," Column II"),("(A) Steady electric field","(p) Can accelerate a stationary charge"),("(B) Steady magnetic field","(q) Can accelerate a moving charge"),("(C) Time varying magnetic field","(r) Can change the speed of a charge"),("(D) Induced electric field","(s) Forms closed loops"):} ,

A uniform conducting ring of mass pi kg and radius 1 m is kept on smooth horizontal table. A uniform but time varying magnetic field B = (hat (i) + t^(2) hat (j))T is present in the region, where t is time in seconds. Resistance of ring is 2 (Omega) . Then Induced electric field (in volt/meter) at the circumference of ring at the instant ring start toppling is

A uniform but time varying magnetic field B(t) exist in a circular region of radius a and is directed into the plane of the paper as shown. The magnitude of the induced electric field at point P at a distance r form the centre of the circular region.

A uniform but time-varying magnetic field B (t) exists in a circular region of radius a and is directed into the plane of the paper as shown . The magnitude of the induced electric field at point P at a distance r from the centre of the circular region is

A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region

Consider a conducting circular loop placed in a magentic filed as shown. When magnetic field changes with time, magentic flux also changes and emf is induced. e=-(dphi)/(dt) If resistance of loop is R then induced current. i=e/R For Current, charge must have come into motion. Magnetic force cannot make the statinoary charges to move. Actually there is an induced electric field in the conductor caused by changing magnetic flux, which make the change to move intvec(E).dvec(l)=e=-(dphi)/(dt) This induced electric field is non-electrostatic by nature. line integral of vec(E) around a closed path is non-zero A square non- conducting loop 20 cm on a side is placed in a magnetic field The centre of side AB coincides with the centre of magnetic field The magnetic field is increasing at the rate of 2T/s. Find the magnitude of line integral of induced electric field along path BC.

Consider a conducting circular loop placed in a magentic filed as shown. When magnetic field changes with time, magentic flux also changes and emf is induced. e=-(dphi)/(dt) If resistance of loop is R then induced current. i=e/R For Current, charge must have come into motion. Magnetic force cannot make the statinoary charges to move. Actually there is an induced electric field in the conductor caused by changing magnetic flux, which make the change to move intvec(E).dvec(l)=e=-(dphi)/(dt) This induced electric field is non-electrostatic by nature. line integral of vec(E) around a closed path is non-zero The magnetic field within cylindrical region whose cross - section is indicated starts increasing at a constant rate alpha tesla/sec The graph showing the variation.of induced electric field with distance r from the axis of cylinder is :