Photo AI

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 icon

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?-Leaving Cert Physics-Question h-2009.png

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

Calculate the Change in Magnetic Flux

96%

114 rated

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

Determine the Time Interval

99%

104 rated

Answer

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

Step 3

Calculate Average EMF Induced

96%

101 rated

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:

  • ( N = 20 ) turns
  • ( \Delta \Phi = -0.9 , \text{Wb} )
  • ( \Delta t = 0.4 , \text{s} )

Substituting the values:

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

Step 4

Final Result

98%

120 rated

Answer

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

Join the Leaving Cert students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

Other Leaving Cert Physics topics to explore

;