Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both...

 

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Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which lie in the plane of the page. The wire is parallel to the long sides of the loop and is 0.5 m away from the closer side. At an instant when the voltage induced in the loop is 4 V, what is the time rate of change of the current in the wire? 0.50 m] 3.0 m 0.50 m a. What is the expression for magnetic field B due to the current I in the long, straight wire, at distance r away from the wire? B o. Give your answer in terms of given variables (I, r) and physical and numerical constants (440, , ke, and/or c). Spell out Greek letters and use underscore ("_") for subscripts. b. Because the magnetic field is not uniform, you will have to use integration to calculate the magnetic flux, >= Bd. BdA. Find the magnetic flux through the loop as a function of I ( will be proportional to I, as shown below; find the coefficient, in base SI units). o I. Give your answer in terms of given variable (I); plug in numerical values of given geometric parameters and physical and numerical constants in base SI units. Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which lie in the plane of the page. The wire is parallel to the long sides of the loop and is 0.5 m away from the closer side. At an instant when the voltage induced in the loop is 4 V, what is the time rate of change of the current in the wire? 0.50 m] 3.0 m 0.50 m a. What is the expression for magnetic field B due to the current I in the long, straight wire, at distance r away from the wire? B o. Give your answer in terms of given variables (I, r) and physical and numerical constants (440, , ke, and/or c). Spell out Greek letters and use underscore ("_") for subscripts. b. Because the magnetic field is not uniform, you will have to use integration to calculate the magnetic flux, >= Bd. BdA. Find the magnetic flux through the loop as a function of I ( will be proportional to I, as shown below; find the coefficient, in base SI units). o I. Give your answer in terms of given variable (I); plug in numerical values of given geometric parameters and physical and numerical constants in base SI units.