The magnetic flux (in weber) through a stationary rectangular coil of 200 turns…

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

The magnetic flux Φ\Phi (in weber) through a stationary rectangular coil of 200 turns varies with time tt (in millisecond) as follows: Φ=0\Phi = 0 at t=0 mst = 0\,\text{ms}, Φ\Phi increases linearly to 0.20 Wb0.20\,\text{Wb} at t=4 mst = 4\,\text{ms}, Φ\Phi remains constant at 0.20 Wb0.20\,\text{Wb} until t=6 mst = 6\,\text{ms}, Φ\Phi then decreases linearly to −0.10 Wb-0.10\,\text{Wb} at t=11 mst = 11\,\text{ms}. (a) Calculate the magnitude of the induced emf in the coil during the interval 00–4 ms4\,\text{ms}. (b) Find the average induced emf during the entire interval 00–11 ms11\,\text{ms}. (c) Draw the induced emf versus time graph for 00–11 ms11\,\text{ms}, labelling all key values clearly.

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