The long straight wire illustrated above carries a current I to the right. The current varies with time t according to the equation

, where I

_{0} and K are positive constants and I remains positive throughout the time period of interest. The bottom of a rectangular loop of wire of width

**b** and height

**a** is located a distance

**d** above the long wire, with the long wire in the plane of the loop as shown. A lightbulb with resistance

**R** is connected in the loop. Express all algebraic answers in terms of the given quantities and fundamental constants.