We wish to design a compact electromagnetic motor with a coil $1$ cm in

diameter. We will use $100$ turns of a thin wire that is $100$ p$.$m in diameter. If

the conductivity of Cu is a $=6\mathrm{.}0$ x $10\mathrm{⁷}($Q$.$ m$)"1,$calculate the resistance of

this coil. If a current of $0\mathrm{.}5$ A flows through this coil, calculate the Joule

heat generated per second.