A single square loop of side lies in the plane of the page
PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences
Problem
A single square loop of side 0.20m lies in the plane of the page. A spatially uniform magnetic field perpendicular to the page varies in the following piece-wise manner:
• 0≤t<2.0s: B increases linearly from 0 to 0.50T, directed into the page.
• 2.0≤t<4.0s: B remains constant at 0.50T into the page.
• 4.0≤t≤6.0s: B decreases linearly to −0.50T, where the negative sign indicates a direction out of the page.
Assume the field is uniform over the entire loop area.
(a) Calculate the magnitude of the induced emf at t=1.0s, t=3.0s, and t=5.0s. Show all reasoning.
(b) On axes you provide, sketch a qualitative graph of emf versus time for the entire 0–6s interval. Clearly label the times and magnitudes corresponding to the values found in part (a).
(c) During the interval 4.0–6.0s, state whether the induced current flows clockwise or counter-clockwise as viewed from the reader and justify your answer.