Now that we have a feel for the state of the circuit in its steady state, let us obtain the expression for the current in the circuit as a function of time. Note that we can use the loop rule (going around counterclockwise): E−vR−vL=0. Note as well that vR=iR and vL=Ldidt. Using these equations, we can get, after some rearranging of the variables and making the subsitution x=ER−i, dxx=−RLdt. Integrating both sides of this equation yields x=x0e−Rt/L. Use this last expression to obtain an expression for i(t). Remember that x=ER−i and that i0=i(0)=0. Express your answer in terms of E, R, and L. You may or may not need all these variables. Use the notation exp(x) for ex.

7.study the scenario. a small container of water with a low temperature is poured into a large container of water with a higher temperature. which choice correctly explains what happens to the thermal energy of these systems? the smaller container of water has more heat and thermal energy than the larger container. some heat and thermal energy is transferred to the larger container of water. the larger container of water has more heat and thermal energy than the smaller container. some heat and thermal energy is transferred to the smaller container of water. the larger container of water has more thermal energy and some of that energy is transferred to the colder water in a process known as heating. the smaller container of water has more thermal energy than the larger container, and some of that energy is transferred to the warmer water in a process known as heating.