Question

12. The B-field through a one-turn loop of wire E1.0r having a radius of 10 cm and a total resistance of 10 changes with time as shown in the graph at the right. Plot a. the EMF induced in the loop as a function 20.5 of time. b. the rate at which heat is dissipated in the t (s) loop as a function of time. 13. A rectangular loop of wire having sides L and L/3 and resistance R lies in a uniform B-field that is perpendicular to its plane and whose magni tude varies with time according to the equation B B c s ut where B and ω are constants. Recall from your work in SHM that ω= 2π/T, where T is the period of the oscillation. a. Let the direction of Bat t 0 be into the page. Make a sketch of the loop indicating the direction of the B-field and the direction of the induced current between t 0 and t -T/4. Do the same for the interval between t T/2 and t 3T/4. (cw. CCW time is given by 1- (wL2B /3R)sin ut. Ix B force associated with the induced current during one b. Show that the magnitude gt the induced current as a function of c. Describe the direction of the magnetic force on the loop the d. Show that the total amount of charge that passes point e. Show that the rate that thermal energy I complete cycle. between t0 and tT/2 is given by t any time t is given by PL B sin wt)9R. ing disšipated at

Answer 1

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