Answer Happy

A 12.0 V battery is connected into a series circuit containing a 16.00 resistor and a 3.10 H inductor. (a) In what time interval (in s) will the current reach 50.0% of its final value? 0.1386 X What formula gives the current as a function of time for an RL circuit that is in series with a battery? In the limit as time goes to infinity, what is the final value of the current? Use the formula again to calculate the time when the current is equal to half this value. s (b) In what time interval (in s) will the current reach 90.0% of its final value? 0.4605 x What formula gives the current as a function of time for an RL circuit that is in series with a battery? In the limit as time goes to infinity, what is the final value of the current? Use the formula again to calculate the time when the current is equal to 0.9 times this value. S What If? After a very long time, using a switch like that shown in the figure below, the battery is removed and the inductor is connected directly across the resistor. a S, R b (c) In what time interval (in s) will the current decrease to 50.0% of its initial value? 0.1386 What formula gives the current as a function of time for an RL circuit with the battery removed? What is the initial current of this circuit, at time equal to zero (that is, the instant the switch is thrown)? Use the formula to calculate the time when the current is equal to half this value. s (d) In what time interval (in s) will the current decrease to 10.0% of its initial value? 0.4605 What formula gives the current as a function of time for an RL circuit with the battery removed? What is the initial current of this circuit, at time equal to zero (that is, the instant the switch is thrown)? Use the formula to calculate the time when the current is equal to 0.1 times this value. s