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What is the average emf induced in a coil of 20 turns when the magnetic flux cutting it decreases from 2.3 Wb to 1.4 Wb in 0.4 s? - Leaving Cert Physics - Question h - 2009

Question h

What is the average emf induced in a coil of 20 turns when the magnetic flux cutting it decreases from 2.3 Wb to 1.4 Wb in 0.4 s?

Worked Solution & Example Answer:What is the average emf induced in a coil of 20 turns when the magnetic flux cutting it decreases from 2.3 Wb to 1.4 Wb in 0.4 s? - Leaving Cert Physics - Question h - 2009

Step 1

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Answer

The change in magnetic flux, ( \Delta \Phi ), is calculated as follows:

[ \Delta \Phi = \Phi_{final} - \Phi_{initial} = 1.4 , \text{Wb} - 2.3 , \text{Wb} = -0.9 , \text{Wb} ]

Step 2

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Answer

The time interval, ( \Delta t ), is given as 0.4 seconds.

Step 3

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Answer

Using Faraday's law, the average emf, ( E ), induced in the coil can be calculated with the formula:

[ E = -N \frac{\Delta \Phi}{\Delta t} ]

Where:

Substituting the values:

[ E = -20 \frac{-0.9}{0.4} = 45 , \text{V} ]

Step 4

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Answer

The average emf induced in the coil is ( E = 45 , \text{V} ).

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