2. A square copper frame has sides of length b. A very long thin solenoid goes through the frame as shown. The solenoid has Ntums in a total length and radius a. Assume that > > 2a so the solenoid goes through the frame. The solenoid has an AC current given by I(t) = 1, sin(at) with cow counted as positive. The angular frequency w is constant. a. Write an expression for the magnetic flux through the square frame as a function of time. Hint: what is the magnetic field inside and outside a long solenoid? b. Determine the EMF induced in the frame as a function of time. Please use Faraday's Law with the minus sign. ONL 2a head on view b c. What is the amplitude of the induced EMF? The amplitude of a sinusoidal function is the maximum deviation of the function from the average value. Hint: what is the largest value that cosine or sine can have during a cyde? d. What is the induced EMF as a function of time if the square frame was small enough to fit entirely inside the solenoid (> <2a) as shown? You should be able to figure this out from without redoing all the work.
2. A square copper frame has sides of length b. A very long thin solenoid goes through the frame as shown. The solenoid has Ntums in a total length and radius a. Assume that > > 2a so the solenoid goes through the frame. The solenoid has an AC current given by I(t) = 1, sin(at) with cow counted as positive. The angular frequency w is constant. a. Write an expression for the magnetic flux through the square frame as a function of time. Hint: what is the magnetic field inside and outside a long solenoid? b. Determine the EMF induced in the frame as a function of time. Please use Faraday's Law with the minus sign. ONL 2a head on view b c. What is the amplitude of the induced EMF? The amplitude of a sinusoidal function is the maximum deviation of the function from the average value. Hint: what is the largest value that cosine or sine can have during a cyde? d. What is the induced EMF as a function of time if the square frame was small enough to fit entirely inside the solenoid (> <2a) as shown? You should be able to figure this out from without redoing all the work.
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Outline steps to solve the problem
VIEWStep 2: Write expression for magnetic field due to solenoid
VIEWStep 3: Write expression for magnetic flux through frame
VIEWStep 4: Determine emf induced in the frame
VIEWStep 5: Find amplitude of the emf
VIEWStep 6: Find emf induced when frame is inside the solenoid
VIEWSolution
VIEWStep by step
Solved in 7 steps with 25 images