A wire loop with a resistance of 2.5 ohms and a radius of 0.255m is places in a magnetic field that decreases with time according to . . . B(t)=0.25e^(-.5t) (in T with t in sec). The plane of the loop is perpendicular to the field, as shown below. Determine the magnitude and direstion of the induced current in the loop at t=0.75s. The image is a diagram illustrating a circle with several crosses ('X') arranged both inside and outside the circle. - **Inside the Circle**: There are five crosses evenly distributed, suggesting points of interest or data markers.- **Outside the Circle**: There are eight crosses evenly spaced around the circle, signifying additional data points or external factors.This arrangement could represent a variety of concepts, such as a central focus with related external influences, or possibly a visual aid for understanding inclusion and exclusion zones in a particular study. The circular boundary emphasizes the distinction between internal and external elements.

Given resistance of wire = 2.5 ohms radius of wire = 0.255 m B(t)=0.25e^(-.5t) We have to calculate the magnitude and direstion of the induced current in the loop at t=0.75 s from Lenz's law: direction of induced current in such a way that it opposes the cause by which it is induced Here magnetic field decreases with time, so induced current want to increase the value of magnetic field for this current will move in clockwise direction as seen from above the page.