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21.Injuiced mEh!A rectangular coil with area 1 m2is located in a region of uniform magnetic field thatvaries with time according toB(t) = (1T/s2)t2. Themagnetic field is at an angle of 60◦with respect to theplane of the coil as shown. What is the magnitude ofthe induced emf in the coil at timet= 1 s?A. 2 VB.√3 VC. 1 VD.√3/2 VFor the next two items, consider a metal rod withlengthL= 1 mforced to move with constant speedv= 1m/salong two parallel metal rails that are con-nected to a resistorR= 3 Ω. The circuit is immersedin a uniform magnetic fieldB= 2 Tdirected out ofthe page as shown.22.Emotional.What is the motional emf in this circuit?A – 7
23.Injuiced Ay!What is the direction of the induced currentthrough the resistor?24.Plot-teaus.A time-varying current, whose plot is shown, is allowed to flow throughan inductorL.Which of the following choices correctly shows the total magneticfield energy stored in the inductor as a function of time?For the next two items, consider the circuit shown.The capacitor is initially charged toQ0. The switchis then flipped from 1 to 2 to form an LC circuit. Theangular frequency is taken to beω.25.Charge.If the stored charge in the capacitor decreases to half its initial value, whatis the magnitude of the current passing through the inductor at that instant?A.12ωQ0B.C.D.ωQ0√22ωQ0√32ωQ0A – 8
Second Long ExamFirst Semester, AY 2015–2016Physics 7226.Time.What time will the magnitude of the current through the inductor reach halfits maximum value at the first instance?27.Q(t)p2t.Consider the following figure for an underdamped LRC circuit.Whatfunctions best describe the dashed lines? Takea >0.28.Mutually Assured.Two identical coils situated near each other have a mutualinductance of 3 H. A steady current of 5 A linearly decreases to zero in a span of1 second.What is the average induced EMF in the second coil during the wholeduration?29.Too much!Consider an LRC circuit with a 1.0-Ω resistor. Which of the followingvalues of inductance and capacitance will result to overdamping?A.L= 4.0μH,C= 1.0μFB.L= 1.0μH,C= 0.5μFC.L= 0.5μH,C= 4.0μFD.L= 0.25μH,C= 0.25μFA – 9
Second Long ExamFirst Semester, AY 2015–2016Physics 7230.Arrow.Consider the phasor diagram for an LRCseries circuit connected to an AC source as shown.Which of the following best describes the voltagesacross each element in the circuit if the current hasamplitudeI?