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I have a question in my book and it’s confusing me a bit. I tried to search online for similar solved problems but couldn’t succeed. So here it goes:

Calculate the induced EMF in a conductor loop when the angle between [tex] \vec{A} ~ and~ \vec{B} ~is~ changed ~from ~{0 °}~ to ~{α °} [/tex] in 1 second: [tex] Δt = 1s[/tex]

So I solved it like this: [tex]ε = A \cdot B \cdot {cos(\alpha) - cos(0) \over Δt}[/tex]

Where: [tex] B = 2.8 \cdot 10^{-2} T[/tex] and diameter of the loop is: [tex]D = 5.4 cm [/tex]

So using the above method, I should get and induced Voltage of [tex] -9 \cdot 10^{-6} V[/tex], if I rotate the loop from an initial 0 ° Orientation to 30 °. Would this be wrong? If so, could you explain that to me?

Calculate the induced EMF in a conductor loop when the angle between [tex] \vec{A} ~ and~ \vec{B} ~is~ changed ~from ~{0 °}~ to ~{α °} [/tex] in 1 second: [tex] Δt = 1s[/tex]

So I solved it like this: [tex]ε = A \cdot B \cdot {cos(\alpha) - cos(0) \over Δt}[/tex]

Where: [tex] B = 2.8 \cdot 10^{-2} T[/tex] and diameter of the loop is: [tex]D = 5.4 cm [/tex]

So using the above method, I should get and induced Voltage of [tex] -9 \cdot 10^{-6} V[/tex], if I rotate the loop from an initial 0 ° Orientation to 30 °. Would this be wrong? If so, could you explain that to me?