(Solved): help An electric current in a conductor varies with time according to the expression \( I(t)=82 \sin ...

An electric current in a conductor varies with time according to the expression \( I(t)=82 \sin (120 \pi t) \), where \( I \) is in amperes and \( t \) is in seconds. What is the total charge passing a given point in the conductor from \( t=0 \) to \( t=1 / 240 \mathrm{~s} \) ? \( x \) The current is not negative during this entire time interval, so the net charge passing the point cannot be negative. \( C \) [-/1 Points] SERPSE10 26.1.OP.004. A teapot with a surface area of \( 755 \mathrm{~cm}^{2} \) is to be plated with silver. It is attached to the negative electrode of an electrolytic cell containing silver nitrate \( \left(\mathrm{Ag}^{+} \mathrm{NO}_{3}{ }^{-}\right) \). The cell is powered by a 12.0-V battery and has a resistance of \( 1.90 \Omega \). If the density of silver is \( 1.05 \times 10^{4} \mathrm{~kg} / \mathrm{m}^{3} \), over what time interval does a \( 0.133-\mathrm{mm} \) layer of siliver build up on the teapot? \( \mathrm{h} \)