Induced emf in the loop:
A = πr2
The angle between the magnetic field and normal to the steel is θ = 90° - 60° = 30°
A flat, circular, steel loop of radius 75 cm is at rest in a uniform magnetic field, as shown in an edge-on view in the figure (Figure 1). The field is changing with time, according to B(t)=(1.4T)e^(−(0.057s−1)t.)
Part A: Find the emf induced in the loop as a function of time (assume t is in seconds).
Part B: When is the induced emf equal to 1/10 of its initial value?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Magnetic Field Produced by Loops and Solenoids concept. You can view video lessons to learn Magnetic Field Produced by Loops and Solenoids. Or if you need more Magnetic Field Produced by Loops and Solenoids practice, you can also practice Magnetic Field Produced by Loops and Solenoids practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Morin, Yacoby, Witkov & Zengel's class at HARVARD.