Magnetic flux linked with a stationary loop of resistance R varies with respect to time during the time period T as follows: \[\phi =at(T-t)\] The amount of heat generated in the loop during that time (inductance of the coil is negligible) is

• A. \[\frac{aT}{3R}\]          
• B. \[\frac{{{a}^{2}}{{T}^{2}}}{3R}\]
• C. \[\frac{{{a}^{2}}{{T}^{2}}}{R}\]     
• D. \[\frac{{{a}^{2}}{{T}^{3}}}{3R}\]