A 100-turn, 2.0-cm-diameter coil is at rest in a horizontal plane. A uniform magnetic field 60∘ away from vertical increases from 0.50 T to 1.50 T in 0.60 s. You may want to review (Pages 825 - 829) . For help with math skills, you may want to review: Rearrangement of Algebraic Expressions For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Electromagnetic induction. Part APart complete What is the induced emf in the coil?

The induced emf is  

Explanation:

From the question we are told that

     The number of turn is  

      The diameter of the coil is  

      The uniform magnetic at initial is

      The uniform magnetic at initial is

      The time taken is

      The angle the magnetic field makes with vertical is  

Generally induced emf is mathematically represented as

where is the change  magnetic flux

Magnetic flux is mathematically represented as

Substituting this above  

  Where B is the magnetic field and A is the area which is mathematically evaluated as

Substituting values

From the equation of emf

dB =

       So

substituting values