Part A ANSWER: Part B ANSWER: Part C ANSWER: Determine the polarity of the emf i

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Part A ANSWER: Part B ANSWER: Part C ANSWER: Determine the polarity of the emf in the ring at time. clockwise counterclockwise ANSWER: Determine the polarity of the emf in the ring at time. clockwise counterclockwise Part D ANSWER: Part E ANSWER: Part F ANSWER: Determine the polarity of the emf in the ring at a time. clockwise counterclockwise ANSWER: Determine the polarity of the emf in the ring at a time. clockwise counterclockwise Part G ANSWER: = A circular conducting ring with radiusr0=0.0420;{ m}lies in thexy-planein a region of uniform magnetic fieldvec{B}=B{0}[1 - 3(t/t0)^2 + 2(t/t0)^3]hat{k}. In this expression,t0=0.0100;{ s}and is constant,tis time,hat{k}is the unit vector in the+z-direction,andB0=0.0800;{ T}is constant. At pointsaandb(see the figure) there is a small gap in the ring with wires leading to an external circuit of resistanceR=12.0;{Omega}. There is no magnetic field at the location of the external circuit. Part A Derive an expression, as a function of time, for the total magnetic fluxPhi{B}through the ring. Express your answer in terms of the variablesr{0},t{0},B{0},t, and appropriate constants. ANSWER: |Phi{B}|= Part B Determine the emf induced in the ring at timet=5.00 times 10^{-3};{ s}. ANSWER: |cal{E}|= { V} Part C Determine the polarity of the emf in the ring at timet=5.00 times 10^{-3};{ s}. ANSWER: Determine the polarity of the emf in the ring at time. clockwise counterclockwise Part D Because of the internal resistance of the ring, the current throughRat the time given in part B is only3.00;{ mA}.Determine the internal resistance of the ring. ANSWER: r= Omega Part E Determine the emf in the ring at a timet=1.21 times 10^{-2};{ s}. ANSWER: |cal{E}|= { V} Part F Determine the polarity of the emf in the ring at a timet=1.21 times 10^{-2};{ s}. ANSWER: Determine the polarity of the emf in the ring at a time. clockwise counterclockwise Part G Determine the time at which the current throughRreverses its direction. ANSWER: t= { s}

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