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Chapter%2023%20Equations - ε of a motor carrying current I...

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Chapter 23 Equations Most of the equations in this chapter involve either flux Φ or induced emf ε . Be sure you're familiar with both of these concepts, especially flux. Emf is basically the same thing as voltage. Magnetic Flux Equation: gives the flux Φ of a magnetic field B through a loop of area A with its plane at angle θ to the field. See figure 1 for angle information. Note that this is different than the angle used to find torque. Induced Emf Equation: shows the voltage generated by a flux Φ changing over time t and flowing through N loops. This equation is often used with the magnetic flux equation. Transformer Ratio: shows the relationship between number of coils N in a transformer and voltage ε through the coils. More coils means more voltage. The subscript p stands for primary, while s stands for secondary. Back Emf Equation: shows the back emf
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Unformatted text preview: ε of a motor carrying current I , having resistance r , and linked to voltage source V . Motional Emf Equation: gives the voltage ε induced on an object of length d moving through a field B at angle θ with velocity v . For angle information, see figure 1. Induced Emf of a Generator: shows the voltage produced by a generator as a function of the number of coils N, the magnetic field B , the area of the loop A , and the rotational velocity ϖ , given time t . Angular Velocity Equations: several other ways to write ϖ . f is frequency of rotation, v is tangential velocity, and r is radius. Usually, you'll be using 2 π f . Figure 1 B θ Φ = A B s i n θ ε i n d N t =-∆ Φ ∆ ( 29 ( 29 i n d s i n d p s p N N = V I r i n d-= i n d B v d = s i n ϖ i n d N B A t = c o s = = 2 f v r...
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