The below figure shows a fixed$-$fixed microwire. A constant voltage V is applied between the ends of the

microwire. The cross$-$section area of the microwire is A $,$ the resistivity is rho, the thermal conductivity is k $.$ It is

assumed that two ends of the microwire is held at room temperature.

a$.$ Calculate the current passing through the microwire.

b$.$ Calculate the amount of electrical power supplied to the microwire.

c$.$ Assuming no heat loss by convection and radiation, roughly plot the temperature along the beam length

$($No numerical value is asked, only sketch a rough plot$)$