7) A uniform magnetic field iscreated within a circle of radius R = 10.0 cm. A c

Question

7) A uniform magnetic field iscreated within a circle of radius R = 10.0 cm. A copper ring ofradius r = 2.0 cm is placed concentric and coaxial in the field(that is the plane of the ring is perpendicular to the field). Themagnetic field points into the page and has a time dependenceof B(t) = 0.015t +0.120t2 , with B in Teslas and t inseconds.

A) Which way will the inducedcurrent flow in the ring, CW or CCW?

B) Which point is at ahigher potential, Aor B?

C) What is the electric field atpoint B, magnitude anddirection?

Explanation / Answer

a)the induced current flows effect due to changing flux isnullified hence as B is increasing with time we have current induced anticlockwise CCW b)potential decreases in the direction of current hence A is atlower potential c)magnitude of electric field at point B is given by(r/2)*dB/dt and direction is given by tangent at B but facing right r=0.1m     dB/dt=0.24t+0.015 d)instantaneous acceleration is given by eE/m in the direction of the field e,m are charge and mass of electron

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