Question

A flat coil of wire consisting of 16 turns, each with an area of 50 cm2, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 2 T to 7 T in 2.0 s. What is the magnitude of the emf (in Volts) induced in the coil? Your answer should be a number with two decimal places, do not include the unit.

Answer 1

The value is
`\epsilon  =  0.2 V`

Step-by-step explanation:

From the question we are told that

The number of N = 16 turns

The area is
`A =  50cm^2  =  (50)/(10000) =0.005 \ m^2`

The initial magnetic field is
`B_i  =  2 T`

The final magnetic field is
`B_f  =  7 T`

The time taken is
`\Delta t  =  2.0 \  s`

Generally the magnitude of the emf is mathematically represented as

`\epsilon  =  ( N A  (B_f - B_i ))/(\Delta t )`

=>
`\epsilon  =  (  16*  0.005 (7- 2 ))/(2.0  )`

=>
`\epsilon  =  0.2 V`